# Quizbank/calcPhyEMqAll/c11

calcPhyEMqAll/c11 ID153478379917

Exams:

78 Tests = 3 versions x 26 variations: Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

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### c11 A0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

a) 1.192E-13 N
b) 1.311E-13 N
c) 1.442E-13 N
d) 1.586E-13 N
e) 1.745E-13 N

2) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

a) 4.784E-06 s
b) 5.262E-06 s
c) 5.788E-06 s
d) 6.367E-06 s
e) 7.004E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

4) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?

a) 2.812E-01 A
b) 3.093E-01 A
c) 3.403E-01 A
d) 3.743E-01 A
e) 4.117E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

a) 1.131E+00 N/m
b) 1.244E+00 N/m
c) 1.368E+00 N/m
d) 1.505E+00 N/m
e) 1.655E+00 N/m

6) A circular current loop of radius 3.25 cm carries a current of 2.78 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.523 T?

a) 2.699E-06 N m
b) 2.969E-06 N m
c) 3.266E-06 N m
d) 3.593E-06 N m
e) 3.952E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.060E+06 m/s
b) 1.166E+06 m/s
c) 1.282E+06 m/s
d) 1.411E+06 m/s
e) 1.552E+06 m/s
8)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

#### c11 A1

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

a) 2.875E+00 MeV
b) 3.162E+00 MeV
c) 3.479E+00 MeV
d) 3.827E+00 MeV
e) 4.209E+00 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

5) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

a) 2.037E-01 A
b) 2.241E-01 A
c) 2.465E-01 A
d) 2.712E-01 A
e) 2.983E-01 A
6)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

7) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s
b) 2.305E-06 s
c) 2.535E-06 s
d) 2.789E-06 s
e) 3.067E-06 s

9) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

a) 3.582E-07 N m
b) 3.940E-07 N m
c) 4.334E-07 N m
d) 4.768E-07 N m
e) 5.245E-07 N m

#### c11 A2

1) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

a) 6.534E+00 MeV
b) 7.187E+00 MeV
c) 7.906E+00 MeV
d) 8.697E+00 MeV
e) 9.566E+00 MeV

3) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.746E+06 m/s
b) 3.021E+06 m/s
c) 3.323E+06 m/s
d) 3.655E+06 m/s
e) 4.020E+06 m/s
5)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

6) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

7) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

a) 1.510E+00 N/m
b) 1.661E+00 N/m
c) 1.827E+00 N/m
d) 2.010E+00 N/m
e) 2.211E+00 N/m

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

a) 1.828E-14 N
b) 2.010E-14 N
c) 2.211E-14 N
d) 2.433E-14 N
e) 2.676E-14 N

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s

### c11 B0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

a) 7.509E-14 N
b) 8.259E-14 N
c) 9.085E-14 N
d) 9.994E-14 N
e) 1.099E-13 N

2) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

a) 2.730E-06 s
b) 3.003E-06 s
c) 3.303E-06 s
d) 3.633E-06 s
e) 3.997E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s

4) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

a) 7.056E-02 A
b) 7.762E-02 A
c) 8.538E-02 A
d) 9.392E-02 A
e) 1.033E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

a) 8.520E-01 N/m
b) 9.372E-01 N/m
c) 1.031E+00 N/m
d) 1.134E+00 N/m
e) 1.247E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.971E+05 m/s
b) 9.868E+05 m/s
c) 1.085E+06 m/s
d) 1.194E+06 m/s
e) 1.313E+06 m/s
8)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.193E-06 V
b) 1.313E-06 V
c) 1.444E-06 V
d) 1.588E-06 V
e) 1.747E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

a) 6.534E+00 MeV
b) 7.187E+00 MeV
c) 7.906E+00 MeV
d) 8.697E+00 MeV
e) 9.566E+00 MeV

#### c11 B1

1) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

a) 4.096E+00 N/m
b) 4.505E+00 N/m
c) 4.956E+00 N/m
d) 5.451E+00 N/m
e) 5.996E+00 N/m

3) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

a) 6.080E-06 s
b) 6.688E-06 s
c) 7.356E-06 s
d) 8.092E-06 s
e) 8.901E-06 s

4) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

a) 1.022E-06 N m
b) 1.124E-06 N m
c) 1.236E-06 N m
d) 1.360E-06 N m
e) 1.496E-06 N m

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 3.132E+05 m/s
b) 3.445E+05 m/s
c) 3.790E+05 m/s
d) 4.169E+05 m/s
e) 4.585E+05 m/s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

a) 2.853E+00 MeV
b) 3.139E+00 MeV
c) 3.453E+00 MeV
d) 3.798E+00 MeV
e) 4.178E+00 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

a) 2.561E-07 s
b) 2.817E-07 s
c) 3.099E-07 s
d) 3.409E-07 s
e) 3.750E-07 s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

a) 1.757E-14 N
b) 1.933E-14 N
c) 2.126E-14 N
d) 2.339E-14 N
e) 2.573E-14 N

#### c11 B2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N

3) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m

4) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A

5) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

a) 6.534E+00 MeV
b) 7.187E+00 MeV
c) 7.906E+00 MeV
d) 8.697E+00 MeV
e) 9.566E+00 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

a) 2.819E-07 s
b) 3.101E-07 s
c) 3.411E-07 s
d) 3.752E-07 s
e) 4.128E-07 s

8) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

a) 4.784E-06 s
b) 5.262E-06 s
c) 5.788E-06 s
d) 6.367E-06 s
e) 7.004E-06 s
9)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.015E-06 V
b) 9.916E-06 V
c) 1.091E-05 V
d) 1.200E-05 V
e) 1.320E-05 V

### c11 C0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

a) 2.576E-14 N
b) 2.834E-14 N
c) 3.117E-14 N
d) 3.429E-14 N
e) 3.772E-14 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

a) 2.189E-05 s
b) 2.408E-05 s
c) 2.649E-05 s
d) 2.914E-05 s
e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s

4) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

a) 1.644E-01 A
b) 1.808E-01 A
c) 1.989E-01 A
d) 2.188E-01 A
e) 2.406E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

a) 4.096E+00 N/m
b) 4.505E+00 N/m
c) 4.956E+00 N/m
d) 5.451E+00 N/m
e) 5.996E+00 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

a) 1.866E-07 N m
b) 2.052E-07 N m
c) 2.258E-07 N m
d) 2.484E-07 N m
e) 2.732E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.504E+06 m/s
b) 1.655E+06 m/s
c) 1.820E+06 m/s
d) 2.002E+06 m/s
e) 2.202E+06 m/s
8)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.015E-06 V
b) 9.916E-06 V
c) 1.091E-05 V
d) 1.200E-05 V
e) 1.320E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.436 m and a magneticfield of 0.881 T. What is their maximum kinetic energy?

a) 5.342E+00 MeV
b) 5.877E+00 MeV
c) 6.464E+00 MeV
d) 7.111E+00 MeV
e) 7.822E+00 MeV

#### c11 C1

1) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m
b) 5.399E+00 N/m
c) 5.939E+00 N/m
d) 6.533E+00 N/m
e) 7.186E+00 N/m

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

a) 6.080E-06 s
b) 6.688E-06 s
c) 7.356E-06 s
d) 8.092E-06 s
e) 8.901E-06 s
3)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s

6) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A
b) 1.291E+00 A
c) 1.420E+00 A
d) 1.562E+00 A
e) 1.719E+00 A

7) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 8.608E-01 MeV
b) 9.468E-01 MeV
c) 1.042E+00 MeV
d) 1.146E+00 MeV
e) 1.260E+00 MeV

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

a) 4.419E-14 N
b) 4.861E-14 N
c) 5.347E-14 N
d) 5.882E-14 N
e) 6.470E-14 N

#### c11 C2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 8.608E-01 MeV
b) 9.468E-01 MeV
c) 1.042E+00 MeV
d) 1.146E+00 MeV
e) 1.260E+00 MeV

2) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

a) 8.520E-01 N/m
b) 9.372E-01 N/m
c) 1.031E+00 N/m
d) 1.134E+00 N/m
e) 1.247E+00 N/m

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.971E+05 m/s
b) 9.868E+05 m/s
c) 1.085E+06 m/s
d) 1.194E+06 m/s
e) 1.313E+06 m/s

5) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

a) 1.644E-01 A
b) 1.808E-01 A
c) 1.989E-01 A
d) 2.188E-01 A
e) 2.406E-01 A

6) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s
7)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.153E-07 V
b) 7.869E-07 V
c) 8.655E-07 V
d) 9.521E-07 V
e) 1.047E-06 V

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

9) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

### c11 D0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

2) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s
b) 2.305E-06 s
c) 2.535E-06 s
d) 2.789E-06 s
e) 3.067E-06 s

4) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

a) 3.106E-01 A
b) 3.416E-01 A
c) 3.758E-01 A
d) 4.134E-01 A
e) 4.547E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

a) 5.805E-08 N m
b) 6.386E-08 N m
c) 7.024E-08 N m
d) 7.727E-08 N m
e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s
8)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.153E-07 V
b) 7.869E-07 V
c) 8.655E-07 V
d) 9.521E-07 V
e) 1.047E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

a) 1.004E+00 MeV
b) 1.104E+00 MeV
c) 1.215E+00 MeV
d) 1.336E+00 MeV
e) 1.470E+00 MeV

#### c11 D1

1) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

2) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 4.629E-07 s
b) 5.092E-07 s
c) 5.601E-07 s
d) 6.161E-07 s
e) 6.777E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

a) 3.432E-01 A
b) 3.775E-01 A
c) 4.152E-01 A
d) 4.568E-01 A
e) 5.024E-01 A

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

a) 8.881E+00 MeV
b) 9.769E+00 MeV
c) 1.075E+01 MeV
d) 1.182E+01 MeV
e) 1.300E+01 MeV

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s
7)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

8) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

a) 5.205E-01 N/m
b) 5.725E-01 N/m
c) 6.297E-01 N/m
d) 6.927E-01 N/m
e) 7.620E-01 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

a) 2.576E-14 N
b) 2.834E-14 N
c) 3.117E-14 N
d) 3.429E-14 N
e) 3.772E-14 N

#### c11 D2

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

a) 2.222E-14 N
b) 2.444E-14 N
c) 2.688E-14 N
d) 2.957E-14 N
e) 3.253E-14 N

2) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

a) 3.106E-01 A
b) 3.416E-01 A
c) 3.758E-01 A
d) 4.134E-01 A
e) 4.547E-01 A

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 4.878E-07 s
b) 5.366E-07 s
c) 5.903E-07 s
d) 6.493E-07 s
e) 7.143E-07 s
4)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.375E-05 V
b) 1.513E-05 V
c) 1.664E-05 V
d) 1.831E-05 V
e) 2.014E-05 V

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

a) 1.131E+00 N/m
b) 1.244E+00 N/m
c) 1.368E+00 N/m
d) 1.505E+00 N/m
e) 1.655E+00 N/m

6) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

a) 1.062E-05 s
b) 1.168E-05 s
c) 1.285E-05 s
d) 1.413E-05 s
e) 1.555E-05 s

7) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s

### c11 E0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 7.270E-07 s
b) 7.997E-07 s
c) 8.797E-07 s
d) 9.676E-07 s
e) 1.064E-06 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

a) 3.999E-01 A
b) 4.398E-01 A
c) 4.838E-01 A
d) 5.322E-01 A
e) 5.854E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

a) 1.001E+00 N/m
b) 1.101E+00 N/m
c) 1.211E+00 N/m
d) 1.332E+00 N/m
e) 1.465E+00 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

a) 1.866E-07 N m
b) 2.052E-07 N m
c) 2.258E-07 N m
d) 2.484E-07 N m
e) 2.732E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.971E+05 m/s
b) 9.868E+05 m/s
c) 1.085E+06 m/s
d) 1.194E+06 m/s
e) 1.313E+06 m/s
8)
The silver ribbon shown are a=4.12 cm, b=3.32 cm, and c= 1.46 cm. The current carries a current of 120 A and it lies in a uniform magnetic field of 1.39 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.209E-06 V
b) 1.329E-06 V
c) 1.462E-06 V
d) 1.609E-06 V
e) 1.770E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

a) 1.336E+01 MeV
b) 1.470E+01 MeV
c) 1.617E+01 MeV
d) 1.779E+01 MeV
e) 1.957E+01 MeV

#### c11 E1

1) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV
b) 9.340E+00 MeV
c) 1.027E+01 MeV
d) 1.130E+01 MeV
e) 1.243E+01 MeV
6)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.015E-06 V
b) 9.916E-06 V
c) 1.091E-05 V
d) 1.200E-05 V
e) 1.320E-05 V

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 7.270E-07 s
b) 7.997E-07 s
c) 8.797E-07 s
d) 9.676E-07 s
e) 1.064E-06 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

a) 4.783E-14 N
b) 5.262E-14 N
c) 5.788E-14 N
d) 6.367E-14 N
e) 7.003E-14 N

9) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

#### c11 E2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s

2) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

a) 5.610E-07 N m
b) 6.171E-07 N m
c) 6.788E-07 N m
d) 7.467E-07 N m
e) 8.213E-07 N m

3) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

a) 2.596E-01 A
b) 2.855E-01 A
c) 3.141E-01 A
d) 3.455E-01 A
e) 3.801E-01 A
5)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.080E-06 V
b) 1.188E-06 V
c) 1.306E-06 V
d) 1.437E-06 V
e) 1.581E-06 V

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

a) 2.222E-14 N
b) 2.444E-14 N
c) 2.688E-14 N
d) 2.957E-14 N
e) 3.253E-14 N

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.676E+06 m/s
b) 1.843E+06 m/s
c) 2.028E+06 m/s
d) 2.230E+06 m/s
e) 2.453E+06 m/s

9) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

a) 1.062E+00 N/m
b) 1.168E+00 N/m
c) 1.285E+00 N/m
d) 1.413E+00 N/m
e) 1.555E+00 N/m

### c11 F0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

a) 1.386E-13 N
b) 1.524E-13 N
c) 1.676E-13 N
d) 1.844E-13 N
e) 2.029E-13 N

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

a) 4.453E-07 s
b) 4.898E-07 s
c) 5.388E-07 s
d) 5.927E-07 s
e) 6.519E-07 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

a) 2.596E-01 A
b) 2.855E-01 A
c) 3.141E-01 A
d) 3.455E-01 A
e) 3.801E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

a) 5.205E-01 N/m
b) 5.725E-01 N/m
c) 6.297E-01 N/m
d) 6.927E-01 N/m
e) 7.620E-01 N/m

6) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

a) 1.585E-07 N m
b) 1.743E-07 N m
c) 1.918E-07 N m
d) 2.110E-07 N m
e) 2.321E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 8.608E-01 MeV
b) 9.468E-01 MeV
c) 1.042E+00 MeV
d) 1.146E+00 MeV
e) 1.260E+00 MeV

#### c11 F1

1) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

a) 1.585E-07 N m
b) 1.743E-07 N m
c) 1.918E-07 N m
d) 2.110E-07 N m
e) 2.321E-07 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

a) 2.576E-14 N
b) 2.834E-14 N
c) 3.117E-14 N
d) 3.429E-14 N
e) 3.772E-14 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

4) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

6) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

a) 2.259E-01 A
b) 2.485E-01 A
c) 2.734E-01 A
d) 3.007E-01 A
e) 3.308E-01 A

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV
8)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.080E-06 V
b) 1.188E-06 V
c) 1.306E-06 V
d) 1.437E-06 V
e) 1.581E-06 V

9) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

#### c11 F2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

a) 4.783E-14 N
b) 5.262E-14 N
c) 5.788E-14 N
d) 6.367E-14 N
e) 7.003E-14 N

3) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

a) 4.963E-01 A
b) 5.459E-01 A
c) 6.005E-01 A
d) 6.605E-01 A
e) 7.266E-01 A
5)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.648E-06 V
b) 1.813E-06 V
c) 1.994E-06 V
d) 2.194E-06 V
e) 2.413E-06 V

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s
b) 2.305E-06 s
c) 2.535E-06 s
d) 2.789E-06 s
e) 3.067E-06 s

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.676E+06 m/s
b) 1.843E+06 m/s
c) 2.028E+06 m/s
d) 2.230E+06 m/s
e) 2.453E+06 m/s

8) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

### c11 G0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

a) 1.192E-13 N
b) 1.311E-13 N
c) 1.442E-13 N
d) 1.586E-13 N
e) 1.745E-13 N

2) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

a) 5.560E-06 s
b) 6.116E-06 s
c) 6.728E-06 s
d) 7.401E-06 s
e) 8.141E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

a) 3.999E-01 A
b) 4.398E-01 A
c) 4.838E-01 A
d) 5.322E-01 A
e) 5.854E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

a) 1.062E+00 N/m
b) 1.168E+00 N/m
c) 1.285E+00 N/m
d) 1.413E+00 N/m
e) 1.555E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

a) 7.629E-07 N m
b) 8.392E-07 N m
c) 9.232E-07 N m
d) 1.015E-06 N m
e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.092E+05 m/s
b) 8.901E+05 m/s
c) 9.791E+05 m/s
d) 1.077E+06 m/s
e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

#### c11 G1

1) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

a) 1.644E-01 A
b) 1.808E-01 A
c) 1.989E-01 A
d) 2.188E-01 A
e) 2.406E-01 A
2)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.795E-06 V
b) 7.475E-06 V
c) 8.222E-06 V
d) 9.045E-06 V
e) 9.949E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

a) 4.419E-14 N
b) 4.861E-14 N
c) 5.347E-14 N
d) 5.882E-14 N
e) 6.470E-14 N

4) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

a) 1.336E+01 MeV
b) 1.470E+01 MeV
c) 1.617E+01 MeV
d) 1.779E+01 MeV
e) 1.957E+01 MeV

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s

8) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.971E+05 m/s
b) 9.868E+05 m/s
c) 1.085E+06 m/s
d) 1.194E+06 m/s
e) 1.313E+06 m/s

#### c11 G2

1) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

a) 2.596E-01 A
b) 2.855E-01 A
c) 3.141E-01 A
d) 3.455E-01 A
e) 3.801E-01 A

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 1.940E-06 s
b) 2.134E-06 s
c) 2.347E-06 s
d) 2.582E-06 s
e) 2.840E-06 s

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.25 i + 7.71 j  + 2.91 k) x 104 m/s?

a) 8.890E-14 N
b) 9.779E-14 N
c) 1.076E-13 N
d) 1.183E-13 N
e) 1.302E-13 N

5) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

a) 1.585E-07 N m
b) 1.743E-07 N m
c) 1.918E-07 N m
d) 2.110E-07 N m
e) 2.321E-07 N m

6) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m
b) 5.399E+00 N/m
c) 5.939E+00 N/m
d) 6.533E+00 N/m
e) 7.186E+00 N/m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 3.132E+05 m/s
b) 3.445E+05 m/s
c) 3.790E+05 m/s
d) 4.169E+05 m/s
e) 4.585E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.378 m and a magneticfield of 0.835 T. What is their maximum kinetic energy?

a) 4.365E+00 MeV
b) 4.801E+00 MeV
c) 5.281E+00 MeV
d) 5.809E+00 MeV
e) 6.390E+00 MeV

### c11 H0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

a) 9.727E-14 N
b) 1.070E-13 N
c) 1.177E-13 N
d) 1.295E-13 N
e) 1.424E-13 N

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

a) 6.080E-06 s
b) 6.688E-06 s
c) 7.356E-06 s
d) 8.092E-06 s
e) 8.901E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

a) 2.596E-01 A
b) 2.855E-01 A
c) 3.141E-01 A
d) 3.455E-01 A
e) 3.801E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

a) 1.510E+00 N/m
b) 1.661E+00 N/m
c) 1.827E+00 N/m
d) 2.010E+00 N/m
e) 2.211E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

a) 7.629E-07 N m
b) 8.392E-07 N m
c) 9.232E-07 N m
d) 1.015E-06 N m
e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.43 mT and 4.670E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.362E+06 m/s
b) 1.498E+06 m/s
c) 1.647E+06 m/s
d) 1.812E+06 m/s
e) 1.993E+06 m/s
8)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.202E-06 V
b) 7.922E-06 V
c) 8.714E-06 V
d) 9.586E-06 V
e) 1.054E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

a) 5.798E+00 MeV
b) 6.377E+00 MeV
c) 7.015E+00 MeV
d) 7.717E+00 MeV
e) 8.488E+00 MeV

#### c11 H1

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV
2)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.648E-06 V
b) 1.813E-06 V
c) 1.994E-06 V
d) 2.194E-06 V
e) 2.413E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

4) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

5) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

7) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

a) 1.627E-06 s
b) 1.790E-06 s
c) 1.969E-06 s
d) 2.166E-06 s
e) 2.382E-06 s

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

#### c11 H2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

a) 3.245E-07 s
b) 3.569E-07 s
c) 3.926E-07 s
d) 4.319E-07 s
e) 4.751E-07 s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

a) 2.853E+00 MeV
b) 3.139E+00 MeV
c) 3.453E+00 MeV
d) 3.798E+00 MeV
e) 4.178E+00 MeV

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

a) 2.222E-14 N
b) 2.444E-14 N
c) 2.688E-14 N
d) 2.957E-14 N
e) 3.253E-14 N
4)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

a) 1.062E+00 N/m
b) 1.168E+00 N/m
c) 1.285E+00 N/m
d) 1.413E+00 N/m
e) 1.555E+00 N/m

6) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s
b) 1.255E-05 s
c) 1.381E-05 s
d) 1.519E-05 s
e) 1.671E-05 s

7) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

a) 4.963E-01 A
b) 5.459E-01 A
c) 6.005E-01 A
d) 6.605E-01 A
e) 7.266E-01 A

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.671E+06 m/s
b) 1.838E+06 m/s
c) 2.022E+06 m/s
d) 2.225E+06 m/s
e) 2.447E+06 m/s

9) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

a) 1.903E-07 N m
b) 2.093E-07 N m
c) 2.302E-07 N m
d) 2.532E-07 N m
e) 2.785E-07 N m

### c11 I0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.25 i + 7.71 j  + 2.91 k) x 104 m/s?

a) 8.890E-14 N
b) 9.779E-14 N
c) 1.076E-13 N
d) 1.183E-13 N
e) 1.302E-13 N

2) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

a) 3.432E-01 A
b) 3.775E-01 A
c) 4.152E-01 A
d) 4.568E-01 A
e) 5.024E-01 A

5) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m

6) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

a) 5.610E-07 N m
b) 6.171E-07 N m
c) 6.788E-07 N m
d) 7.467E-07 N m
e) 8.213E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.971E+05 m/s
b) 9.868E+05 m/s
c) 1.085E+06 m/s
d) 1.194E+06 m/s
e) 1.313E+06 m/s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

a) 2.853E+00 MeV
b) 3.139E+00 MeV
c) 3.453E+00 MeV
d) 3.798E+00 MeV
e) 4.178E+00 MeV

#### c11 I1

1)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.202E-06 V
b) 7.922E-06 V
c) 8.714E-06 V
d) 9.586E-06 V
e) 1.054E-05 V

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.554E+05 m/s
b) 6.110E+05 m/s
c) 6.720E+05 m/s
d) 7.393E+05 m/s
e) 8.132E+05 m/s

3) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

a) 2.697E+00 N/m
b) 2.967E+00 N/m
c) 3.263E+00 N/m
d) 3.590E+00 N/m
e) 3.948E+00 N/m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

6) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

a) 2.730E-06 s
b) 3.003E-06 s
c) 3.303E-06 s
d) 3.633E-06 s
e) 3.997E-06 s

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

a) 1.757E-14 N
b) 1.933E-14 N
c) 2.126E-14 N
d) 2.339E-14 N
e) 2.573E-14 N

9) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

a) 1.476E-06 N m
b) 1.624E-06 N m
c) 1.786E-06 N m
d) 1.965E-06 N m
e) 2.162E-06 N m

#### c11 I2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
2)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

3) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

4) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s
b) 1.255E-05 s
c) 1.381E-05 s
d) 1.519E-05 s
e) 1.671E-05 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

a) 2.853E+00 MeV
b) 3.139E+00 MeV
c) 3.453E+00 MeV
d) 3.798E+00 MeV
e) 4.178E+00 MeV

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

a) 1.828E-14 N
b) 2.010E-14 N
c) 2.211E-14 N
d) 2.433E-14 N
e) 2.676E-14 N

7) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

8) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

a) 3.106E-01 A
b) 3.416E-01 A
c) 3.758E-01 A
d) 4.134E-01 A
e) 4.547E-01 A

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

### c11 J0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

a) 5.296E-14 N
b) 5.826E-14 N
c) 6.408E-14 N
d) 7.049E-14 N
e) 7.754E-14 N

2) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

a) 3.432E-01 A
b) 3.775E-01 A
c) 4.152E-01 A
d) 4.568E-01 A
e) 5.024E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

a) 1.131E+00 N/m
b) 1.244E+00 N/m
c) 1.368E+00 N/m
d) 1.505E+00 N/m
e) 1.655E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

a) 7.629E-07 N m
b) 8.392E-07 N m
c) 9.232E-07 N m
d) 1.015E-06 N m
e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
8)
The silver ribbon shown are a=4.23 cm, b=3.7 cm, and c= 0.721 cm. The current carries a current of 144 A and it lies in a uniform magnetic field of 1.21 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.746E-06 V
b) 1.921E-06 V
c) 2.113E-06 V
d) 2.324E-06 V
e) 2.557E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

a) 6.029E+00 MeV
b) 6.631E+00 MeV
c) 7.295E+00 MeV
d) 8.024E+00 MeV
e) 8.827E+00 MeV

#### c11 J1

1) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

a) 3.432E-01 A
b) 3.775E-01 A
c) 4.152E-01 A
d) 4.568E-01 A
e) 5.024E-01 A

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

a) 4.096E+00 N/m
b) 4.505E+00 N/m
c) 4.956E+00 N/m
d) 5.451E+00 N/m
e) 5.996E+00 N/m

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

4) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

a) 1.022E-06 N m
b) 1.124E-06 N m
c) 1.236E-06 N m
d) 1.360E-06 N m
e) 1.496E-06 N m

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.070E+06 m/s
b) 1.177E+06 m/s
c) 1.295E+06 m/s
d) 1.424E+06 m/s
e) 1.566E+06 m/s

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N

7) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

a) 2.189E-05 s
b) 2.408E-05 s
c) 2.649E-05 s
d) 2.914E-05 s
e) 3.205E-05 s

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

a) 4.105E-07 s
b) 4.515E-07 s
c) 4.967E-07 s
d) 5.464E-07 s
e) 6.010E-07 s
9)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

#### c11 J2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

2) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

a) 5.610E-07 N m
b) 6.171E-07 N m
c) 6.788E-07 N m
d) 7.467E-07 N m
e) 8.213E-07 N m

3) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A
b) 1.291E+00 A
c) 1.420E+00 A
d) 1.562E+00 A
e) 1.719E+00 A

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

5) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s
b) 1.255E-05 s
c) 1.381E-05 s
d) 1.519E-05 s
e) 1.671E-05 s

6) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m
7)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.193E-06 V
b) 1.313E-06 V
c) 1.444E-06 V
d) 1.588E-06 V
e) 1.747E-06 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.070E+06 m/s
b) 1.177E+06 m/s
c) 1.295E+06 m/s
d) 1.424E+06 m/s
e) 1.566E+06 m/s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

a) 6.029E+00 MeV
b) 6.631E+00 MeV
c) 7.295E+00 MeV
d) 8.024E+00 MeV
e) 8.827E+00 MeV

### c11 K0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

a) 1.386E-13 N
b) 1.524E-13 N
c) 1.676E-13 N
d) 1.844E-13 N
e) 2.029E-13 N

2) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

a) 1.062E-05 s
b) 1.168E-05 s
c) 1.285E-05 s
d) 1.413E-05 s
e) 1.555E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

4) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

#### c11 K1

1) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

a) 5.560E-06 s
b) 6.116E-06 s
c) 6.728E-06 s
d) 7.401E-06 s
e) 8.141E-06 s

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

a) 5.296E-14 N
b) 5.826E-14 N
c) 6.408E-14 N
d) 7.049E-14 N
e) 7.754E-14 N

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 7.270E-07 s
b) 7.997E-07 s
c) 8.797E-07 s
d) 9.676E-07 s
e) 1.064E-06 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV
6)
The silver ribbon shown are a=4.65 cm, b=3.43 cm, and c= 1.15 cm. The current carries a current of 279 A and it lies in a uniform magnetic field of 3.48 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.100E-06 V
b) 6.710E-06 V
c) 7.381E-06 V
d) 8.120E-06 V
e) 8.931E-06 V

7) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

8) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.671E+06 m/s
b) 1.838E+06 m/s
c) 2.022E+06 m/s
d) 2.225E+06 m/s
e) 2.447E+06 m/s

#### c11 K2

1)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

a) 1.828E-14 N
b) 2.010E-14 N
c) 2.211E-14 N
d) 2.433E-14 N
e) 2.676E-14 N

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

5) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.671E+06 m/s
b) 1.838E+06 m/s
c) 2.022E+06 m/s
d) 2.225E+06 m/s
e) 2.447E+06 m/s

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

a) 1.004E+00 MeV
b) 1.104E+00 MeV
c) 1.215E+00 MeV
d) 1.336E+00 MeV
e) 1.470E+00 MeV

8) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

9) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?

a) 2.812E-01 A
b) 3.093E-01 A
c) 3.403E-01 A
d) 3.743E-01 A
e) 4.117E-01 A

### c11 L0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

a) 4.419E-14 N
b) 4.861E-14 N
c) 5.347E-14 N
d) 5.882E-14 N
e) 6.470E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

6) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

a) 1.903E-07 N m
b) 2.093E-07 N m
c) 2.302E-07 N m
d) 2.532E-07 N m
e) 2.785E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

#### c11 L1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

a) 1.386E-13 N
b) 1.524E-13 N
c) 1.676E-13 N
d) 1.844E-13 N
e) 2.029E-13 N

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.070E+06 m/s
b) 1.177E+06 m/s
c) 1.295E+06 m/s
d) 1.424E+06 m/s
e) 1.566E+06 m/s
4)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

5) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

a) 2.875E+00 MeV
b) 3.162E+00 MeV
c) 3.479E+00 MeV
d) 3.827E+00 MeV
e) 4.209E+00 MeV

7) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

a) 2.009E-07 N m
b) 2.210E-07 N m
c) 2.431E-07 N m
d) 2.674E-07 N m
e) 2.941E-07 N m

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

a) 4.453E-07 s
b) 4.898E-07 s
c) 5.388E-07 s
d) 5.927E-07 s
e) 6.519E-07 s

9) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

a) 2.037E-01 A
b) 2.241E-01 A
c) 2.465E-01 A
d) 2.712E-01 A
e) 2.983E-01 A

#### c11 L2

1) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

a) 7.898E-07 N m
b) 8.688E-07 N m
c) 9.557E-07 N m
d) 1.051E-06 N m
e) 1.156E-06 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

a) 1.757E-14 N
b) 1.933E-14 N
c) 2.126E-14 N
d) 2.339E-14 N
e) 2.573E-14 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
4)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

5) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

a) 7.056E-02 A
b) 7.762E-02 A
c) 8.538E-02 A
d) 9.392E-02 A
e) 1.033E-01 A

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

a) 1.004E+00 MeV
b) 1.104E+00 MeV
c) 1.215E+00 MeV
d) 1.336E+00 MeV
e) 1.470E+00 MeV

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

a) 1.001E+00 N/m
b) 1.101E+00 N/m
c) 1.211E+00 N/m
d) 1.332E+00 N/m
e) 1.465E+00 N/m

9) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

### c11 M0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

2) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

a) 2.899E-05 s
b) 3.189E-05 s
c) 3.508E-05 s
d) 3.859E-05 s
e) 4.244E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s

4) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A
b) 1.291E+00 A
c) 1.420E+00 A
d) 1.562E+00 A
e) 1.719E+00 A

5) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m

6) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

a) 1.476E-06 N m
b) 1.624E-06 N m
c) 1.786E-06 N m
d) 1.965E-06 N m
e) 2.162E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV

#### c11 M1

1) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m
b) 5.399E+00 N/m
c) 5.939E+00 N/m
d) 6.533E+00 N/m
e) 7.186E+00 N/m

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s
3)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

4) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

a) 2.875E+00 MeV
b) 3.162E+00 MeV
c) 3.479E+00 MeV
d) 3.827E+00 MeV
e) 4.209E+00 MeV

6) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

a) 1.113E-07 N m
b) 1.224E-07 N m
c) 1.347E-07 N m
d) 1.481E-07 N m
e) 1.629E-07 N m

7) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

a) 1.956E-01 A
b) 2.152E-01 A
c) 2.367E-01 A
d) 2.604E-01 A
e) 2.864E-01 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

a) 4.105E-07 s
b) 4.515E-07 s
c) 4.967E-07 s
d) 5.464E-07 s
e) 6.010E-07 s

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

a) 5.296E-14 N
b) 5.826E-14 N
c) 6.408E-14 N
d) 7.049E-14 N
e) 7.754E-14 N

#### c11 M2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.554E+05 m/s
b) 6.110E+05 m/s
c) 6.720E+05 m/s
d) 7.393E+05 m/s
e) 8.132E+05 m/s
3)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

a) 2.561E-07 s
b) 2.817E-07 s
c) 3.099E-07 s
d) 3.409E-07 s
e) 3.750E-07 s

6) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

a) 2.847E+00 N/m
b) 3.132E+00 N/m
c) 3.445E+00 N/m
d) 3.789E+00 N/m
e) 4.168E+00 N/m

7) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

8) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

a) 6.080E-06 s
b) 6.688E-06 s
c) 7.356E-06 s
d) 8.092E-06 s
e) 8.901E-06 s

9) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

### c11 N0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

a) 9.727E-14 N
b) 1.070E-13 N
c) 1.177E-13 N
d) 1.295E-13 N
e) 1.424E-13 N

2) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

4) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

a) 1.644E-01 A
b) 1.808E-01 A
c) 1.989E-01 A
d) 2.188E-01 A
e) 2.406E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

a) 1.062E+00 N/m
b) 1.168E+00 N/m
c) 1.285E+00 N/m
d) 1.413E+00 N/m
e) 1.555E+00 N/m

6) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.070E+06 m/s
b) 1.177E+06 m/s
c) 1.295E+06 m/s
d) 1.424E+06 m/s
e) 1.566E+06 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

#### c11 N1

1) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

a) 4.419E-14 N
b) 4.861E-14 N
c) 5.347E-14 N
d) 5.882E-14 N
e) 6.470E-14 N

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.746E+06 m/s
b) 3.021E+06 m/s
c) 3.323E+06 m/s
d) 3.655E+06 m/s
e) 4.020E+06 m/s

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

a) 5.205E-01 N/m
b) 5.725E-01 N/m
c) 6.297E-01 N/m
d) 6.927E-01 N/m
e) 7.620E-01 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

a) 1.866E-07 N m
b) 2.052E-07 N m
c) 2.258E-07 N m
d) 2.484E-07 N m
e) 2.732E-07 N m

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s
8)
The silver ribbon shown are a=3.89 cm, b=3.43 cm, and c= 1.21 cm. The current carries a current of 77 A and it lies in a uniform magnetic field of 2.16 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.322E-06 V
b) 1.454E-06 V
c) 1.600E-06 V
d) 1.759E-06 V
e) 1.935E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

a) 5.798E+00 MeV
b) 6.377E+00 MeV
c) 7.015E+00 MeV
d) 7.717E+00 MeV
e) 8.488E+00 MeV

#### c11 N2

1) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.676E+06 m/s
b) 1.843E+06 m/s
c) 2.028E+06 m/s
d) 2.230E+06 m/s
e) 2.453E+06 m/s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s
5)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

6) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

### c11 O0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

a) 1.757E-14 N
b) 1.933E-14 N
c) 2.126E-14 N
d) 2.339E-14 N
e) 2.573E-14 N

2) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

a) 2.847E+00 N/m
b) 3.132E+00 N/m
c) 3.445E+00 N/m
d) 3.789E+00 N/m
e) 4.168E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

a) 5.805E-08 N m
b) 6.386E-08 N m
c) 7.024E-08 N m
d) 7.727E-08 N m
e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.829E+05 m/s
b) 5.312E+05 m/s
c) 5.843E+05 m/s
d) 6.427E+05 m/s
e) 7.070E+05 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.449 m and a magneticfield of 0.81 T. What is their maximum kinetic energy?

a) 5.795E+00 MeV
b) 6.374E+00 MeV
c) 7.012E+00 MeV
d) 7.713E+00 MeV
e) 8.484E+00 MeV

#### c11 O1

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 9.223E+05 m/s
b) 1.015E+06 m/s
c) 1.116E+06 m/s
d) 1.228E+06 m/s
e) 1.350E+06 m/s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

a) 8.137E-07 s
b) 8.951E-07 s
c) 9.846E-07 s
d) 1.083E-06 s
e) 1.191E-06 s

3) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

a) 5.560E-06 s
b) 6.116E-06 s
c) 6.728E-06 s
d) 7.401E-06 s
e) 8.141E-06 s

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

a) 1.004E+00 MeV
b) 1.104E+00 MeV
c) 1.215E+00 MeV
d) 1.336E+00 MeV
e) 1.470E+00 MeV
5)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

6) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

a) 3.582E-07 N m
b) 3.940E-07 N m
c) 4.334E-07 N m
d) 4.768E-07 N m
e) 5.245E-07 N m

7) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

a) 4.419E-14 N
b) 4.861E-14 N
c) 5.347E-14 N
d) 5.882E-14 N
e) 6.470E-14 N

9) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A
b) 1.291E+00 A
c) 1.420E+00 A
d) 1.562E+00 A
e) 1.719E+00 A

#### c11 O2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

a) 1.336E+01 MeV
b) 1.470E+01 MeV
c) 1.617E+01 MeV
d) 1.779E+01 MeV
e) 1.957E+01 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

a) 1.757E-14 N
b) 1.933E-14 N
c) 2.126E-14 N
d) 2.339E-14 N
e) 2.573E-14 N

3) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s

5) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

a) 7.327E-06 s
b) 8.060E-06 s
c) 8.865E-06 s
d) 9.752E-06 s
e) 1.073E-05 s

6) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m
7)
The silver ribbon shown are a=4.65 cm, b=3.43 cm, and c= 1.15 cm. The current carries a current of 279 A and it lies in a uniform magnetic field of 3.48 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.100E-06 V
b) 6.710E-06 V
c) 7.381E-06 V
d) 8.120E-06 V
e) 8.931E-06 V

8) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s

### c11 P0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

a) 2.189E-05 s
b) 2.408E-05 s
c) 2.649E-05 s
d) 2.914E-05 s
e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

4) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

a) 3.648E+00 N/m
b) 4.012E+00 N/m
c) 4.414E+00 N/m
d) 4.855E+00 N/m
e) 5.341E+00 N/m

6) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

a) 2.009E-07 N m
b) 2.210E-07 N m
c) 2.431E-07 N m
d) 2.674E-07 N m
e) 2.941E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 3.132E+05 m/s
b) 3.445E+05 m/s
c) 3.790E+05 m/s
d) 4.169E+05 m/s
e) 4.585E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV

#### c11 P1

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

a) 4.453E-07 s
b) 4.898E-07 s
c) 5.388E-07 s
d) 5.927E-07 s
e) 6.519E-07 s

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

3) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A
b) 1.291E+00 A
c) 1.420E+00 A
d) 1.562E+00 A
e) 1.719E+00 A
4)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

5) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N

6) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

a) 1.510E+00 N/m
b) 1.661E+00 N/m
c) 1.827E+00 N/m
d) 2.010E+00 N/m
e) 2.211E+00 N/m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

8) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

a) 7.629E-07 N m
b) 8.392E-07 N m
c) 9.232E-07 N m
d) 1.015E-06 N m
e) 1.117E-06 N m

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

#### c11 P2

1)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.648E-06 V
b) 1.813E-06 V
c) 1.994E-06 V
d) 2.194E-06 V
e) 2.413E-06 V

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.060E+06 m/s
b) 1.166E+06 m/s
c) 1.282E+06 m/s
d) 1.411E+06 m/s
e) 1.552E+06 m/s

3) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

a) 2.819E-07 s
b) 3.101E-07 s
c) 3.411E-07 s
d) 3.752E-07 s
e) 4.128E-07 s

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

7) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

a) 1.062E-05 s
b) 1.168E-05 s
c) 1.285E-05 s
d) 1.413E-05 s
e) 1.555E-05 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

a) 1.828E-14 N
b) 2.010E-14 N
c) 2.211E-14 N
d) 2.433E-14 N
e) 2.676E-14 N

9) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

a) 1.510E+00 N/m
b) 1.661E+00 N/m
c) 1.827E+00 N/m
d) 2.010E+00 N/m
e) 2.211E+00 N/m

### c11 Q0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

2) A charged particle in a magnetic field of 3.600E-04 T is moving perpendicular to the magnetic field with a speed of 5.960E+05 m/s. What is the period of orbit if orbital radius is 0.397 m?

a) 3.805E-06 s
b) 4.185E-06 s
c) 4.604E-06 s
d) 5.064E-06 s
e) 5.571E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 4.629E-07 s
b) 5.092E-07 s
c) 5.601E-07 s
d) 6.161E-07 s
e) 6.777E-07 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

a) 5.205E-01 N/m
b) 5.725E-01 N/m
c) 6.297E-01 N/m
d) 6.927E-01 N/m
e) 7.620E-01 N/m

6) A circular current loop of radius 3.25 cm carries a current of 2.78 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.523 T?

a) 2.699E-06 N m
b) 2.969E-06 N m
c) 3.266E-06 N m
d) 3.593E-06 N m
e) 3.952E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 3.132E+05 m/s
b) 3.445E+05 m/s
c) 3.790E+05 m/s
d) 4.169E+05 m/s
e) 4.585E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

#### c11 Q1

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 4.791E-07 s
b) 5.271E-07 s
c) 5.798E-07 s
d) 6.377E-07 s
e) 7.015E-07 s

2) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

4) A circular current loop of radius 1.88 cm carries a current of 3.41 mA. What is the magnitude of the torque if the dipole is oriented at 62 ° to a uniform magnetic fied of 0.415 T?

a) 1.387E-06 N m
b) 1.526E-06 N m
c) 1.679E-06 N m
d) 1.847E-06 N m
e) 2.031E-06 N m

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

a) 5.798E+00 MeV
b) 6.377E+00 MeV
c) 7.015E+00 MeV
d) 7.717E+00 MeV
e) 8.488E+00 MeV

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

8) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.554E+05 m/s
b) 6.110E+05 m/s
c) 6.720E+05 m/s
d) 7.393E+05 m/s
e) 8.132E+05 m/s

#### c11 Q2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.554E+05 m/s
b) 6.110E+05 m/s
c) 6.720E+05 m/s
d) 7.393E+05 m/s
e) 8.132E+05 m/s

2) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

a) 4.784E-06 s
b) 5.262E-06 s
c) 5.788E-06 s
d) 6.367E-06 s
e) 7.004E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 1.940E-06 s
b) 2.134E-06 s
c) 2.347E-06 s
d) 2.582E-06 s
e) 2.840E-06 s

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

a) 6.029E+00 MeV
b) 6.631E+00 MeV
c) 7.295E+00 MeV
d) 8.024E+00 MeV
e) 8.827E+00 MeV

5) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

6) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

a) 1.956E-01 A
b) 2.152E-01 A
c) 2.367E-01 A
d) 2.604E-01 A
e) 2.864E-01 A
7)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.193E-06 V
b) 1.313E-06 V
c) 1.444E-06 V
d) 1.588E-06 V
e) 1.747E-06 V

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

a) 2.697E+00 N/m
b) 2.967E+00 N/m
c) 3.263E+00 N/m
d) 3.590E+00 N/m
e) 3.948E+00 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

a) 5.296E-14 N
b) 5.826E-14 N
c) 6.408E-14 N
d) 7.049E-14 N
e) 7.754E-14 N

### c11 R0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

a) 7.509E-14 N
b) 8.259E-14 N
c) 9.085E-14 N
d) 9.994E-14 N
e) 1.099E-13 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

a) 2.189E-05 s
b) 2.408E-05 s
c) 2.649E-05 s
d) 2.914E-05 s
e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

a) 1.940E-06 s
b) 2.134E-06 s
c) 2.347E-06 s
d) 2.582E-06 s
e) 2.840E-06 s

4) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

a) 1.956E-01 A
b) 2.152E-01 A
c) 2.367E-01 A
d) 2.604E-01 A
e) 2.864E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

6) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

a) 1.336E+01 MeV
b) 1.470E+01 MeV
c) 1.617E+01 MeV
d) 1.779E+01 MeV
e) 1.957E+01 MeV

#### c11 R1

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 4.629E-07 s
b) 5.092E-07 s
c) 5.601E-07 s
d) 6.161E-07 s
e) 6.777E-07 s

3) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

a) 2.730E-06 s
b) 3.003E-06 s
c) 3.303E-06 s
d) 3.633E-06 s
e) 3.997E-06 s

4) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

a) 1.131E+00 N/m
b) 1.244E+00 N/m
c) 1.368E+00 N/m
d) 1.505E+00 N/m
e) 1.655E+00 N/m
5)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

7) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

8) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N

#### c11 R2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s
b) 2.305E-06 s
c) 2.535E-06 s
d) 2.789E-06 s
e) 3.067E-06 s

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

3) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

4) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

a) 5.610E-07 N m
b) 6.171E-07 N m
c) 6.788E-07 N m
d) 7.467E-07 N m
e) 8.213E-07 N m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

6) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A
7)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.202E-06 V
b) 7.922E-06 V
c) 8.714E-06 V
d) 9.586E-06 V
e) 1.054E-05 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s

9) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

a) 3.648E+00 N/m
b) 4.012E+00 N/m
c) 4.414E+00 N/m
d) 4.855E+00 N/m
e) 5.341E+00 N/m

### c11 S0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.55 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.96 i + 1.68 j  + 6.92 k) x 104 m/s?

a) 4.179E-14 N
b) 4.596E-14 N
c) 5.056E-14 N
d) 5.562E-14 N
e) 6.118E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s
b) 2.305E-06 s
c) 2.535E-06 s
d) 2.789E-06 s
e) 3.067E-06 s

4) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

a) 3.840E-01 N/m
b) 4.224E-01 N/m
c) 4.647E-01 N/m
d) 5.111E-01 N/m
e) 5.623E-01 N/m

6) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

a) 2.009E-07 N m
b) 2.210E-07 N m
c) 2.431E-07 N m
d) 2.674E-07 N m
e) 2.941E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.676E+06 m/s
b) 1.843E+06 m/s
c) 2.028E+06 m/s
d) 2.230E+06 m/s
e) 2.453E+06 m/s
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

a) 8.881E+00 MeV
b) 9.769E+00 MeV
c) 1.075E+01 MeV
d) 1.182E+01 MeV
e) 1.300E+01 MeV

#### c11 S1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

a) 7.509E-14 N
b) 8.259E-14 N
c) 9.085E-14 N
d) 9.994E-14 N
e) 1.099E-13 N

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

3) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A

4) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

a) 1.113E-07 N m
b) 1.224E-07 N m
c) 1.347E-07 N m
d) 1.481E-07 N m
e) 1.629E-07 N m

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m
b) 5.399E+00 N/m
c) 5.939E+00 N/m
d) 6.533E+00 N/m
e) 7.186E+00 N/m
6)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.648E-06 V
b) 1.813E-06 V
c) 1.994E-06 V
d) 2.194E-06 V
e) 2.413E-06 V

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

a) 6.029E+00 MeV
b) 6.631E+00 MeV
c) 7.295E+00 MeV
d) 8.024E+00 MeV
e) 8.827E+00 MeV

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.43 mT and 4.670E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.362E+06 m/s
b) 1.498E+06 m/s
c) 1.647E+06 m/s
d) 1.812E+06 m/s
e) 1.993E+06 m/s

9) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

a) 1.062E-05 s
b) 1.168E-05 s
c) 1.285E-05 s
d) 1.413E-05 s
e) 1.555E-05 s

#### c11 S2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.829E+05 m/s
b) 5.312E+05 m/s
c) 5.843E+05 m/s
d) 6.427E+05 m/s
e) 7.070E+05 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

a) 2.853E+00 MeV
b) 3.139E+00 MeV
c) 3.453E+00 MeV
d) 3.798E+00 MeV
e) 4.178E+00 MeV

3) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

a) 7.327E-06 s
b) 8.060E-06 s
c) 8.865E-06 s
d) 9.752E-06 s
e) 1.073E-05 s

4) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

5) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

7) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

### c11 T0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

2) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

a) 1.062E-05 s
b) 1.168E-05 s
c) 1.285E-05 s
d) 1.413E-05 s
e) 1.555E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

a) 4.105E-07 s
b) 4.515E-07 s
c) 4.967E-07 s
d) 5.464E-07 s
e) 6.010E-07 s

4) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

a) 2.037E-01 A
b) 2.241E-01 A
c) 2.465E-01 A
d) 2.712E-01 A
e) 2.983E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

a) 4.096E+00 N/m
b) 4.505E+00 N/m
c) 4.956E+00 N/m
d) 5.451E+00 N/m
e) 5.996E+00 N/m

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.676E+06 m/s
b) 1.843E+06 m/s
c) 2.028E+06 m/s
d) 2.230E+06 m/s
e) 2.453E+06 m/s
8)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.795E-06 V
b) 7.475E-06 V
c) 8.222E-06 V
d) 9.045E-06 V
e) 9.949E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV
b) 9.340E+00 MeV
c) 1.027E+01 MeV
d) 1.130E+01 MeV
e) 1.243E+01 MeV

#### c11 T1

1) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

2) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s
b) 1.255E-05 s
c) 1.381E-05 s
d) 1.519E-05 s
e) 1.671E-05 s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV
b) 9.340E+00 MeV
c) 1.027E+01 MeV
d) 1.130E+01 MeV
e) 1.243E+01 MeV

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

a) 3.245E-07 s
b) 3.569E-07 s
c) 3.926E-07 s
d) 4.319E-07 s
e) 4.751E-07 s

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N
7)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s

9) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

a) 2.651E-01 A
b) 2.916E-01 A
c) 3.208E-01 A
d) 3.529E-01 A
e) 3.882E-01 A

#### c11 T2

1) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

3) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

4) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

a) 1.062E+00 N/m
b) 1.168E+00 N/m
c) 1.285E+00 N/m
d) 1.413E+00 N/m
e) 1.555E+00 N/m

5) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV
b) 9.340E+00 MeV
c) 1.027E+01 MeV
d) 1.130E+01 MeV
e) 1.243E+01 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 4.629E-07 s
b) 5.092E-07 s
c) 5.601E-07 s
d) 6.161E-07 s
e) 6.777E-07 s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.092E+05 m/s
b) 8.901E+05 m/s
c) 9.791E+05 m/s
d) 1.077E+06 m/s
e) 1.185E+06 m/s

### c11 U0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

2) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

a) 7.327E-06 s
b) 8.060E-06 s
c) 8.865E-06 s
d) 9.752E-06 s
e) 1.073E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

4) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

a) 2.225E-01 A
b) 2.448E-01 A
c) 2.692E-01 A
d) 2.962E-01 A
e) 3.258E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

6) A circular current loop of radius 1.88 cm carries a current of 3.41 mA. What is the magnitude of the torque if the dipole is oriented at 62 ° to a uniform magnetic fied of 0.415 T?

a) 1.387E-06 N m
b) 1.526E-06 N m
c) 1.679E-06 N m
d) 1.847E-06 N m
e) 2.031E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.829E+05 m/s
b) 5.312E+05 m/s
c) 5.843E+05 m/s
d) 6.427E+05 m/s
e) 7.070E+05 m/s
8)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.153E-07 V
b) 7.869E-07 V
c) 8.655E-07 V
d) 9.521E-07 V
e) 1.047E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

a) 7.476E+00 MeV
b) 8.224E+00 MeV
c) 9.046E+00 MeV
d) 9.951E+00 MeV
e) 1.095E+01 MeV

#### c11 U1

1) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

a) 7.327E-06 s
b) 8.060E-06 s
c) 8.865E-06 s
d) 9.752E-06 s
e) 1.073E-05 s

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m
b) 5.399E+00 N/m
c) 5.939E+00 N/m
d) 6.533E+00 N/m
e) 7.186E+00 N/m

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV
b) 9.340E+00 MeV
c) 1.027E+01 MeV
d) 1.130E+01 MeV
e) 1.243E+01 MeV

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.829E+05 m/s
b) 5.312E+05 m/s
c) 5.843E+05 m/s
d) 6.427E+05 m/s
e) 7.070E+05 m/s

5) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A
6)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.560E-06 V
b) 1.716E-06 V
c) 1.888E-06 V
d) 2.077E-06 V
e) 2.284E-06 V

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

a) 2.561E-07 s
b) 2.817E-07 s
c) 3.099E-07 s
d) 3.409E-07 s
e) 3.750E-07 s

9) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

a) 1.113E-07 N m
b) 1.224E-07 N m
c) 1.347E-07 N m
d) 1.481E-07 N m
e) 1.629E-07 N m

#### c11 U2

1) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

a) 3.106E-01 A
b) 3.416E-01 A
c) 3.758E-01 A
d) 4.134E-01 A
e) 4.547E-01 A

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

a) 2.819E-07 s
b) 3.101E-07 s
c) 3.411E-07 s
d) 3.752E-07 s
e) 4.128E-07 s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

a) 1.336E+01 MeV
b) 1.470E+01 MeV
c) 1.617E+01 MeV
d) 1.779E+01 MeV
e) 1.957E+01 MeV

4) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

a) 1.688E-05 s
b) 1.856E-05 s
c) 2.042E-05 s
d) 2.246E-05 s
e) 2.471E-05 s

5) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

a) 3.582E-07 N m
b) 3.940E-07 N m
c) 4.334E-07 N m
d) 4.768E-07 N m
e) 5.245E-07 N m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.060E+06 m/s
b) 1.166E+06 m/s
c) 1.282E+06 m/s
d) 1.411E+06 m/s
e) 1.552E+06 m/s

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

a) 2.222E-14 N
b) 2.444E-14 N
c) 2.688E-14 N
d) 2.957E-14 N
e) 3.253E-14 N

8) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.394 T magnetic field is directed 14° away from the wire?

a) 6.302E-01 N/m
b) 6.932E-01 N/m
c) 7.625E-01 N/m
d) 8.388E-01 N/m
e) 9.227E-01 N/m
9)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

### c11 V0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

a) 2.576E-14 N
b) 2.834E-14 N
c) 3.117E-14 N
d) 3.429E-14 N
e) 3.772E-14 N

2) A charged particle in a magnetic field of 4.130E-04 T is moving perpendicular to the magnetic field with a speed of 4.710E+05 m/s. What is the period of orbit if orbital radius is 0.458 m?

a) 6.110E-06 s
b) 6.721E-06 s
c) 7.393E-06 s
d) 8.132E-06 s
e) 8.945E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

a) 8.137E-07 s
b) 8.951E-07 s
c) 9.846E-07 s
d) 1.083E-06 s
e) 1.191E-06 s

4) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

a) 1.956E-01 A
b) 2.152E-01 A
c) 2.367E-01 A
d) 2.604E-01 A
e) 2.864E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.092E+05 m/s
b) 8.901E+05 m/s
c) 9.791E+05 m/s
d) 1.077E+06 m/s
e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

a) 4.914E-01 MeV
b) 5.406E-01 MeV
c) 5.946E-01 MeV
d) 6.541E-01 MeV
e) 7.195E-01 MeV

#### c11 V1

1)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 2.275E-06 V
b) 2.502E-06 V
c) 2.752E-06 V
d) 3.027E-06 V
e) 3.330E-06 V

2) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

3) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

a) 2.348E+00 N/m
b) 2.583E+00 N/m
c) 2.842E+00 N/m
d) 3.126E+00 N/m
e) 3.438E+00 N/m

4) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

5) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

a) 7.509E-14 N
b) 8.259E-14 N
c) 9.085E-14 N
d) 9.994E-14 N
e) 1.099E-13 N

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 4.629E-07 s
b) 5.092E-07 s
c) 5.601E-07 s
d) 6.161E-07 s
e) 6.777E-07 s

8) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

a) 2.899E-05 s
b) 3.189E-05 s
c) 3.508E-05 s
d) 3.859E-05 s
e) 4.244E-05 s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

#### c11 V2

1) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s
3)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.375E-05 V
b) 1.513E-05 V
c) 1.664E-05 V
d) 1.831E-05 V
e) 2.014E-05 V

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

a) 4.783E-14 N
b) 5.262E-14 N
c) 5.788E-14 N
d) 6.367E-14 N
e) 7.003E-14 N

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.394 T magnetic field is directed 14° away from the wire?

a) 6.302E-01 N/m
b) 6.932E-01 N/m
c) 7.625E-01 N/m
d) 8.388E-01 N/m
e) 9.227E-01 N/m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.504E+06 m/s
b) 1.655E+06 m/s
c) 1.820E+06 m/s
d) 2.002E+06 m/s
e) 2.202E+06 m/s

7) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

8) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

a) 3.582E-07 N m
b) 3.940E-07 N m
c) 4.334E-07 N m
d) 4.768E-07 N m
e) 5.245E-07 N m

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

a) 2.875E+00 MeV
b) 3.162E+00 MeV
c) 3.479E+00 MeV
d) 3.827E+00 MeV
e) 4.209E+00 MeV

### c11 W0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

a) 2.561E-07 s
b) 2.817E-07 s
c) 3.099E-07 s
d) 3.409E-07 s
e) 3.750E-07 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

a) 3.999E-01 A
b) 4.398E-01 A
c) 4.838E-01 A
d) 5.322E-01 A
e) 5.854E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

6) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

a) 1.113E-07 N m
b) 1.224E-07 N m
c) 1.347E-07 N m
d) 1.481E-07 N m
e) 1.629E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

a) 6.534E+00 MeV
b) 7.187E+00 MeV
c) 7.906E+00 MeV
d) 8.697E+00 MeV
e) 9.566E+00 MeV

#### c11 W1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

a) 7.691E-14 N
b) 8.460E-14 N
c) 9.306E-14 N
d) 1.024E-13 N
e) 1.126E-13 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

a) 4.914E-01 MeV
b) 5.406E-01 MeV
c) 5.946E-01 MeV
d) 6.541E-01 MeV
e) 7.195E-01 MeV

3) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

a) 3.648E+00 N/m
b) 4.012E+00 N/m
c) 4.414E+00 N/m
d) 4.855E+00 N/m
e) 5.341E+00 N/m

4) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

a) 1.903E-07 N m
b) 2.093E-07 N m
c) 2.302E-07 N m
d) 2.532E-07 N m
e) 2.785E-07 N m
5)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

6) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

a) 1.212E-07 s
b) 1.333E-07 s
c) 1.466E-07 s
d) 1.613E-07 s
e) 1.774E-07 s

8) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

a) 4.784E-06 s
b) 5.262E-06 s
c) 5.788E-06 s
d) 6.367E-06 s
e) 7.004E-06 s

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 9.223E+05 m/s
b) 1.015E+06 m/s
c) 1.116E+06 m/s
d) 1.228E+06 m/s
e) 1.350E+06 m/s

#### c11 W2

1) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

a) 1.386E-13 N
b) 1.524E-13 N
c) 1.676E-13 N
d) 1.844E-13 N
e) 2.029E-13 N

3) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

a) 5.076E-01 A
b) 5.584E-01 A
c) 6.142E-01 A
d) 6.757E-01 A
e) 7.432E-01 A

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 4.982E+05 m/s
b) 5.480E+05 m/s
c) 6.028E+05 m/s
d) 6.631E+05 m/s
e) 7.294E+05 m/s
6)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

7) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

8) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

a) 2.847E+00 N/m
b) 3.132E+00 N/m
c) 3.445E+00 N/m
d) 3.789E+00 N/m
e) 4.168E+00 N/m

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

a) 2.819E-07 s
b) 3.101E-07 s
c) 3.411E-07 s
d) 3.752E-07 s
e) 4.128E-07 s

### c11 X0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

a) 5.296E-14 N
b) 5.826E-14 N
c) 6.408E-14 N
d) 7.049E-14 N
e) 7.754E-14 N

2) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

a) 4.963E-01 A
b) 5.459E-01 A
c) 6.005E-01 A
d) 6.605E-01 A
e) 7.266E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

a) 2.417E+00 N/m
b) 2.659E+00 N/m
c) 2.924E+00 N/m
d) 3.217E+00 N/m
e) 3.539E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

a) 5.805E-08 N m
b) 6.386E-08 N m
c) 7.024E-08 N m
d) 7.727E-08 N m
e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 8.092E+05 m/s
b) 8.901E+05 m/s
c) 9.791E+05 m/s
d) 1.077E+06 m/s
e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.375E-05 V
b) 1.513E-05 V
c) 1.664E-05 V
d) 1.831E-05 V
e) 2.014E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

a) 6.029E+00 MeV
b) 6.631E+00 MeV
c) 7.295E+00 MeV
d) 8.024E+00 MeV
e) 8.827E+00 MeV

#### c11 X1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

2) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

a) 8.520E-01 N/m
b) 9.372E-01 N/m
c) 1.031E+00 N/m
d) 1.134E+00 N/m
e) 1.247E+00 N/m

3) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

a) 6.626E-01 A
b) 7.289E-01 A
c) 8.018E-01 A
d) 8.819E-01 A
e) 9.701E-01 A

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.504E+06 m/s
b) 1.655E+06 m/s
c) 1.820E+06 m/s
d) 2.002E+06 m/s
e) 2.202E+06 m/s
5)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.795E-06 V
b) 7.475E-06 V
c) 8.222E-06 V
d) 9.045E-06 V
e) 9.949E-06 V

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-06 s

7) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV

9) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

#### c11 X2

1) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

a) 1.897E-07 s
b) 2.087E-07 s
c) 2.296E-07 s
d) 2.525E-07 s
e) 2.778E-07 s

3) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

a) 4.914E-01 MeV
b) 5.406E-01 MeV
c) 5.946E-01 MeV
d) 6.541E-01 MeV
e) 7.195E-01 MeV

6) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

a) 5.258E-01 A
b) 5.784E-01 A
c) 6.362E-01 A
d) 6.998E-01 A
e) 7.698E-01 A

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 6.804E+05 m/s
b) 7.484E+05 m/s
c) 8.233E+05 m/s
d) 9.056E+05 m/s
e) 9.962E+05 m/s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 9.911E-06 V
b) 1.090E-05 V
c) 1.199E-05 V
d) 1.319E-05 V
e) 1.451E-05 V

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

a) 5.205E-01 N/m
b) 5.725E-01 N/m
c) 6.297E-01 N/m
d) 6.927E-01 N/m
e) 7.620E-01 N/m

### c11 Y0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

a) 2.899E-14 N
b) 3.189E-14 N
c) 3.508E-14 N
d) 3.859E-14 N
e) 4.245E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

a) 1.004E-05 s
b) 1.104E-05 s
c) 1.215E-05 s
d) 1.336E-05 s
e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s
b) 1.084E-06 s
c) 1.193E-06 s
d) 1.312E-06 s
e) 1.443E-06 s

4) A 11 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.809 T. What current is required to maintain this balance?

a) 1.432E+00 A
b) 1.575E+00 A
c) 1.732E+00 A
d) 1.905E+00 A
e) 2.096E+00 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

a) 3.648E+00 N/m
b) 4.012E+00 N/m
c) 4.414E+00 N/m
d) 4.855E+00 N/m
e) 5.341E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

a) 5.805E-08 N m
b) 6.386E-08 N m
c) 7.024E-08 N m
d) 7.727E-08 N m
e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 5.685E-06 V
b) 6.253E-06 V
c) 6.878E-06 V
d) 7.566E-06 V
e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

a) 2.875E+00 MeV
b) 3.162E+00 MeV
c) 3.479E+00 MeV
d) 3.827E+00 MeV
e) 4.209E+00 MeV

#### c11 Y1

1) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

a) 2.697E+00 N/m
b) 2.967E+00 N/m
c) 3.263E+00 N/m
d) 3.590E+00 N/m
e) 3.948E+00 N/m

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

4) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

a) 2.259E-01 A
b) 2.485E-01 A
c) 2.734E-01 A
d) 3.007E-01 A
e) 3.308E-01 A

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

a) 3.245E-07 s
b) 3.569E-07 s
c) 3.926E-07 s
d) 4.319E-07 s
e) 4.751E-07 s

7) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

8) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

a) 6.257E-07 N m
b) 6.882E-07 N m
c) 7.570E-07 N m
d) 8.327E-07 N m
e) 9.160E-07 N m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

#### c11 Y2

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

a) 2.576E-14 N
b) 2.834E-14 N
c) 3.117E-14 N
d) 3.429E-14 N
e) 3.772E-14 N

2) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

a) 7.056E-02 A
b) 7.762E-02 A
c) 8.538E-02 A
d) 9.392E-02 A
e) 1.033E-01 A

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV
4)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 7.202E-06 V
b) 7.922E-06 V
c) 8.714E-06 V
d) 9.586E-06 V
e) 1.054E-05 V

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s
b) 3.045E+05 m/s
c) 3.349E+05 m/s
d) 3.684E+05 m/s
e) 4.052E+05 m/s

6) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

a) 8.520E-01 N/m
b) 9.372E-01 N/m
c) 1.031E+00 N/m
d) 1.134E+00 N/m
e) 1.247E+00 N/m

7) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

8) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

a) 2.899E-05 s
b) 3.189E-05 s
c) 3.508E-05 s
d) 3.859E-05 s
e) 4.244E-05 s

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 4.878E-07 s
b) 5.366E-07 s
c) 5.903E-07 s
d) 6.493E-07 s
e) 7.143E-07 s

### c11 Z0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

a) 2.074E-14 N
b) 2.282E-14 N
c) 2.510E-14 N
d) 2.761E-14 N
e) 3.037E-14 N

2) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s
b) 1.255E-05 s
c) 1.381E-05 s
d) 1.519E-05 s
e) 1.671E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

a) 2.819E-07 s
b) 3.101E-07 s
c) 3.411E-07 s
d) 3.752E-07 s
e) 4.128E-07 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

a) 4.963E-01 A
b) 5.459E-01 A
c) 6.005E-01 A
d) 6.605E-01 A
e) 7.266E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

a) 1.510E+00 N/m
b) 1.661E+00 N/m
c) 1.827E+00 N/m
d) 2.010E+00 N/m
e) 2.211E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

a) 1.075E-06 N m
b) 1.182E-06 N m
c) 1.301E-06 N m
d) 1.431E-06 N m
e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 5.072E+05 m/s
b) 5.579E+05 m/s
c) 6.137E+05 m/s
d) 6.751E+05 m/s
e) 7.426E+05 m/s
8)
The silver ribbon shown are a=4.23 cm, b=3.7 cm, and c= 0.721 cm. The current carries a current of 144 A and it lies in a uniform magnetic field of 1.21 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.746E-06 V
b) 1.921E-06 V
c) 2.113E-06 V
d) 2.324E-06 V
e) 2.557E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

a) 7.342E-01 MeV
b) 8.076E-01 MeV
c) 8.884E-01 MeV
d) 9.772E-01 MeV
e) 1.075E+00 MeV

#### c11 Z1

1) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m
2)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 6.795E-06 V
b) 7.475E-06 V
c) 8.222E-06 V
d) 9.045E-06 V
e) 9.949E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

a) 1.828E-14 N
b) 2.010E-14 N
c) 2.211E-14 N
d) 2.433E-14 N
e) 2.676E-14 N

4) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

5) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

a) 8.713E-06 s
b) 9.584E-06 s
c) 1.054E-05 s
d) 1.160E-05 s
e) 1.276E-05 s

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 9.223E+05 m/s
b) 1.015E+06 m/s
c) 1.116E+06 m/s
d) 1.228E+06 m/s
e) 1.350E+06 m/s

7) A 11 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.809 T. What current is required to maintain this balance?

a) 1.432E+00 A
b) 1.575E+00 A
c) 1.732E+00 A
d) 1.905E+00 A
e) 2.096E+00 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

a) 8.137E-07 s
b) 8.951E-07 s
c) 9.846E-07 s
d) 1.083E-06 s
e) 1.191E-06 s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

a) 2.574E-01 MeV
b) 2.831E-01 MeV
c) 3.114E-01 MeV
d) 3.425E-01 MeV
e) 3.768E-01 MeV

#### c11 Z2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

a) 4.914E-01 MeV
b) 5.406E-01 MeV
c) 5.946E-01 MeV
d) 6.541E-01 MeV
e) 7.195E-01 MeV

2) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m
b) 5.445E-01 N/m
c) 5.990E-01 N/m
d) 6.589E-01 N/m
e) 7.248E-01 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.746E+06 m/s
b) 3.021E+06 m/s
c) 3.323E+06 m/s
d) 3.655E+06 m/s
e) 4.020E+06 m/s

5) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

a) 2.259E-01 A
b) 2.485E-01 A
c) 2.734E-01 A
d) 3.007E-01 A
e) 3.308E-01 A
6)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
a) 1.080E-06 V
b) 1.188E-06 V
c) 1.306E-06 V
d) 1.437E-06 V
e) 1.581E-06 V

7) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

a) 1.476E-06 N m
b) 1.624E-06 N m
c) 1.786E-06 N m
d) 1.965E-06 N m
e) 2.162E-06 N m

8) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

a) 1.627E-06 s
b) 1.790E-06 s
c) 1.969E-06 s
d) 2.166E-06 s
e) 2.382E-06 s
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### Key: A0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

+a) 1.192E-13 N
-b) 1.311E-13 N
-c) 1.442E-13 N
-d) 1.586E-13 N
-e) 1.745E-13 N

2) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

-a) 4.784E-06 s
+b) 5.262E-06 s
-c) 5.788E-06 s
-d) 6.367E-06 s
-e) 7.004E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

4) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?

-a) 2.812E-01 A
-b) 3.093E-01 A
+c) 3.403E-01 A
-d) 3.743E-01 A
-e) 4.117E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

-a) 1.131E+00 N/m
-b) 1.244E+00 N/m
-c) 1.368E+00 N/m
+d) 1.505E+00 N/m
-e) 1.655E+00 N/m

6) A circular current loop of radius 3.25 cm carries a current of 2.78 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.523 T?

-a) 2.699E-06 N m
-b) 2.969E-06 N m
-c) 3.266E-06 N m
-d) 3.593E-06 N m
+e) 3.952E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.060E+06 m/s
-b) 1.166E+06 m/s
-c) 1.282E+06 m/s
-d) 1.411E+06 m/s
+e) 1.552E+06 m/s
8)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

#### Key: A1

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

-a) 2.875E+00 MeV
-b) 3.162E+00 MeV
-c) 3.479E+00 MeV
-d) 3.827E+00 MeV
+e) 4.209E+00 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

5) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

-a) 2.037E-01 A
+b) 2.241E-01 A
-c) 2.465E-01 A
-d) 2.712E-01 A
-e) 2.983E-01 A
6)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

7) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

-a) 2.095E-06 s
+b) 2.305E-06 s
-c) 2.535E-06 s
-d) 2.789E-06 s
-e) 3.067E-06 s

9) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

-a) 3.582E-07 N m
-b) 3.940E-07 N m
-c) 4.334E-07 N m
+d) 4.768E-07 N m
-e) 5.245E-07 N m

#### Key: A2

1) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

-a) 6.534E+00 MeV
-b) 7.187E+00 MeV
-c) 7.906E+00 MeV
+d) 8.697E+00 MeV
-e) 9.566E+00 MeV

3) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 2.746E+06 m/s
-b) 3.021E+06 m/s
-c) 3.323E+06 m/s
-d) 3.655E+06 m/s
-e) 4.020E+06 m/s
5)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

6) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

7) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

-a) 1.510E+00 N/m
+b) 1.661E+00 N/m
-c) 1.827E+00 N/m
-d) 2.010E+00 N/m
-e) 2.211E+00 N/m

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

-a) 1.828E-14 N
-b) 2.010E-14 N
-c) 2.211E-14 N
-d) 2.433E-14 N
+e) 2.676E-14 N

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s

### Key: B0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

-a) 7.509E-14 N
-b) 8.259E-14 N
+c) 9.085E-14 N
-d) 9.994E-14 N
-e) 1.099E-13 N

2) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

-a) 2.730E-06 s
+b) 3.003E-06 s
-c) 3.303E-06 s
-d) 3.633E-06 s
-e) 3.997E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s

4) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

-a) 7.056E-02 A
-b) 7.762E-02 A
-c) 8.538E-02 A
+d) 9.392E-02 A
-e) 1.033E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

-a) 8.520E-01 N/m
-b) 9.372E-01 N/m
-c) 1.031E+00 N/m
+d) 1.134E+00 N/m
-e) 1.247E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 8.971E+05 m/s
-b) 9.868E+05 m/s
-c) 1.085E+06 m/s
+d) 1.194E+06 m/s
-e) 1.313E+06 m/s
8)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.193E-06 V
-b) 1.313E-06 V
-c) 1.444E-06 V
-d) 1.588E-06 V
+e) 1.747E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

-a) 6.534E+00 MeV
-b) 7.187E+00 MeV
-c) 7.906E+00 MeV
+d) 8.697E+00 MeV
-e) 9.566E+00 MeV

#### Key: B1

1) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

-a) 4.096E+00 N/m
+b) 4.505E+00 N/m
-c) 4.956E+00 N/m
-d) 5.451E+00 N/m
-e) 5.996E+00 N/m

3) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

+a) 6.080E-06 s
-b) 6.688E-06 s
-c) 7.356E-06 s
-d) 8.092E-06 s
-e) 8.901E-06 s

4) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

+a) 1.022E-06 N m
-b) 1.124E-06 N m
-c) 1.236E-06 N m
-d) 1.360E-06 N m
-e) 1.496E-06 N m

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 3.132E+05 m/s
-b) 3.445E+05 m/s
-c) 3.790E+05 m/s
-d) 4.169E+05 m/s
-e) 4.585E+05 m/s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

-a) 2.853E+00 MeV
+b) 3.139E+00 MeV
-c) 3.453E+00 MeV
-d) 3.798E+00 MeV
-e) 4.178E+00 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

-a) 2.561E-07 s
+b) 2.817E-07 s
-c) 3.099E-07 s
-d) 3.409E-07 s
-e) 3.750E-07 s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

-a) 1.757E-14 N
+b) 1.933E-14 N
-c) 2.126E-14 N
-d) 2.339E-14 N
-e) 2.573E-14 N

#### Key: B2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N

3) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m

4) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A

5) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

-a) 6.534E+00 MeV
-b) 7.187E+00 MeV
-c) 7.906E+00 MeV
+d) 8.697E+00 MeV
-e) 9.566E+00 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

-a) 2.819E-07 s
-b) 3.101E-07 s
+c) 3.411E-07 s
-d) 3.752E-07 s
-e) 4.128E-07 s

8) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

-a) 4.784E-06 s
+b) 5.262E-06 s
-c) 5.788E-06 s
-d) 6.367E-06 s
-e) 7.004E-06 s
9)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.015E-06 V
+b) 9.916E-06 V
-c) 1.091E-05 V
-d) 1.200E-05 V
-e) 1.320E-05 V

### Key: C0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

-a) 2.576E-14 N
-b) 2.834E-14 N
-c) 3.117E-14 N
-d) 3.429E-14 N
+e) 3.772E-14 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

-a) 2.189E-05 s
+b) 2.408E-05 s
-c) 2.649E-05 s
-d) 2.914E-05 s
-e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s

4) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

-a) 1.644E-01 A
-b) 1.808E-01 A
+c) 1.989E-01 A
-d) 2.188E-01 A
-e) 2.406E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

-a) 4.096E+00 N/m
+b) 4.505E+00 N/m
-c) 4.956E+00 N/m
-d) 5.451E+00 N/m
-e) 5.996E+00 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

-a) 1.866E-07 N m
-b) 2.052E-07 N m
-c) 2.258E-07 N m
+d) 2.484E-07 N m
-e) 2.732E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.504E+06 m/s
-b) 1.655E+06 m/s
-c) 1.820E+06 m/s
-d) 2.002E+06 m/s
-e) 2.202E+06 m/s
8)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.015E-06 V
+b) 9.916E-06 V
-c) 1.091E-05 V
-d) 1.200E-05 V
-e) 1.320E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.436 m and a magneticfield of 0.881 T. What is their maximum kinetic energy?

-a) 5.342E+00 MeV
-b) 5.877E+00 MeV
-c) 6.464E+00 MeV
+d) 7.111E+00 MeV
-e) 7.822E+00 MeV

#### Key: C1

1) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m
+b) 5.399E+00 N/m
-c) 5.939E+00 N/m
-d) 6.533E+00 N/m
-e) 7.186E+00 N/m

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

+a) 6.080E-06 s
-b) 6.688E-06 s
-c) 7.356E-06 s
-d) 8.092E-06 s
-e) 8.901E-06 s
3)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s

6) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A
-b) 1.291E+00 A
-c) 1.420E+00 A
-d) 1.562E+00 A
+e) 1.719E+00 A

7) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 8.608E-01 MeV
-b) 9.468E-01 MeV
-c) 1.042E+00 MeV
-d) 1.146E+00 MeV
+e) 1.260E+00 MeV

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

-a) 4.419E-14 N
-b) 4.861E-14 N
-c) 5.347E-14 N
+d) 5.882E-14 N
-e) 6.470E-14 N

#### Key: C2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 8.608E-01 MeV
-b) 9.468E-01 MeV
-c) 1.042E+00 MeV
-d) 1.146E+00 MeV
+e) 1.260E+00 MeV

2) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

-a) 8.520E-01 N/m
-b) 9.372E-01 N/m
-c) 1.031E+00 N/m
+d) 1.134E+00 N/m
-e) 1.247E+00 N/m

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 8.971E+05 m/s
-b) 9.868E+05 m/s
-c) 1.085E+06 m/s
+d) 1.194E+06 m/s
-e) 1.313E+06 m/s

5) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

-a) 1.644E-01 A
-b) 1.808E-01 A
+c) 1.989E-01 A
-d) 2.188E-01 A
-e) 2.406E-01 A

6) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s
7)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 7.153E-07 V
-b) 7.869E-07 V
-c) 8.655E-07 V
+d) 9.521E-07 V
-e) 1.047E-06 V

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

9) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

### Key: D0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

2) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

-a) 2.095E-06 s
+b) 2.305E-06 s
-c) 2.535E-06 s
-d) 2.789E-06 s
-e) 3.067E-06 s

4) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

-a) 3.106E-01 A
+b) 3.416E-01 A
-c) 3.758E-01 A
-d) 4.134E-01 A
-e) 4.547E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

+a) 5.805E-08 N m
-b) 6.386E-08 N m
-c) 7.024E-08 N m
-d) 7.727E-08 N m
-e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s
8)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 7.153E-07 V
-b) 7.869E-07 V
-c) 8.655E-07 V
+d) 9.521E-07 V
-e) 1.047E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

-a) 1.004E+00 MeV
-b) 1.104E+00 MeV
-c) 1.215E+00 MeV
-d) 1.336E+00 MeV
+e) 1.470E+00 MeV

#### Key: D1

1) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

2) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 4.629E-07 s
-b) 5.092E-07 s
-c) 5.601E-07 s
+d) 6.161E-07 s
-e) 6.777E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

-a) 3.432E-01 A
-b) 3.775E-01 A
-c) 4.152E-01 A
+d) 4.568E-01 A
-e) 5.024E-01 A

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

-a) 8.881E+00 MeV
-b) 9.769E+00 MeV
-c) 1.075E+01 MeV
-d) 1.182E+01 MeV
+e) 1.300E+01 MeV

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s
7)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

8) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

+a) 5.205E-01 N/m
-b) 5.725E-01 N/m
-c) 6.297E-01 N/m
-d) 6.927E-01 N/m
-e) 7.620E-01 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

-a) 2.576E-14 N
-b) 2.834E-14 N
-c) 3.117E-14 N
-d) 3.429E-14 N
+e) 3.772E-14 N

#### Key: D2

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

-a) 2.222E-14 N
-b) 2.444E-14 N
-c) 2.688E-14 N
+d) 2.957E-14 N
-e) 3.253E-14 N

2) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

-a) 3.106E-01 A
+b) 3.416E-01 A
-c) 3.758E-01 A
-d) 4.134E-01 A
-e) 4.547E-01 A

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 4.878E-07 s
-b) 5.366E-07 s
+c) 5.903E-07 s
-d) 6.493E-07 s
-e) 7.143E-07 s
4)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.375E-05 V
+b) 1.513E-05 V
-c) 1.664E-05 V
-d) 1.831E-05 V
-e) 2.014E-05 V

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

-a) 1.131E+00 N/m
-b) 1.244E+00 N/m
-c) 1.368E+00 N/m
+d) 1.505E+00 N/m
-e) 1.655E+00 N/m

6) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

+a) 1.062E-05 s
-b) 1.168E-05 s
-c) 1.285E-05 s
-d) 1.413E-05 s
-e) 1.555E-05 s

7) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s

### Key: E0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 7.270E-07 s
-b) 7.997E-07 s
-c) 8.797E-07 s
-d) 9.676E-07 s
+e) 1.064E-06 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

-a) 3.999E-01 A
-b) 4.398E-01 A
-c) 4.838E-01 A
-d) 5.322E-01 A
+e) 5.854E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

-a) 1.001E+00 N/m
-b) 1.101E+00 N/m
+c) 1.211E+00 N/m
-d) 1.332E+00 N/m
-e) 1.465E+00 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

-a) 1.866E-07 N m
-b) 2.052E-07 N m
-c) 2.258E-07 N m
+d) 2.484E-07 N m
-e) 2.732E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 8.971E+05 m/s
-b) 9.868E+05 m/s
-c) 1.085E+06 m/s
+d) 1.194E+06 m/s
-e) 1.313E+06 m/s
8)
The silver ribbon shown are a=4.12 cm, b=3.32 cm, and c= 1.46 cm. The current carries a current of 120 A and it lies in a uniform magnetic field of 1.39 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 1.209E-06 V
-b) 1.329E-06 V
-c) 1.462E-06 V
-d) 1.609E-06 V
-e) 1.770E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

-a) 1.336E+01 MeV
-b) 1.470E+01 MeV
-c) 1.617E+01 MeV
+d) 1.779E+01 MeV
-e) 1.957E+01 MeV

#### Key: E1

1) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

-a) 8.491E+00 MeV
-b) 9.340E+00 MeV
+c) 1.027E+01 MeV
-d) 1.130E+01 MeV
-e) 1.243E+01 MeV
6)
The silver ribbon shown are a=3.96 cm, b=3.35 cm, and c= 1.07 cm. The current carries a current of 295 A and it lies in a uniform magnetic field of 3.4 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.015E-06 V
+b) 9.916E-06 V
-c) 1.091E-05 V
-d) 1.200E-05 V
-e) 1.320E-05 V

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 7.270E-07 s
-b) 7.997E-07 s
-c) 8.797E-07 s
-d) 9.676E-07 s
+e) 1.064E-06 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

-a) 4.783E-14 N
+b) 5.262E-14 N
-c) 5.788E-14 N
-d) 6.367E-14 N
-e) 7.003E-14 N

9) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

#### Key: E2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s

2) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

+a) 5.610E-07 N m
-b) 6.171E-07 N m
-c) 6.788E-07 N m
-d) 7.467E-07 N m
-e) 8.213E-07 N m

3) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

-a) 2.596E-01 A
-b) 2.855E-01 A
+c) 3.141E-01 A
-d) 3.455E-01 A
-e) 3.801E-01 A
5)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.080E-06 V
-b) 1.188E-06 V
-c) 1.306E-06 V
-d) 1.437E-06 V
+e) 1.581E-06 V

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

-a) 2.222E-14 N
-b) 2.444E-14 N
-c) 2.688E-14 N
+d) 2.957E-14 N
-e) 3.253E-14 N

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.676E+06 m/s
-b) 1.843E+06 m/s
-c) 2.028E+06 m/s
-d) 2.230E+06 m/s
-e) 2.453E+06 m/s

9) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

-a) 1.062E+00 N/m
-b) 1.168E+00 N/m
-c) 1.285E+00 N/m
-d) 1.413E+00 N/m
+e) 1.555E+00 N/m

### Key: F0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

-a) 1.386E-13 N
+b) 1.524E-13 N
-c) 1.676E-13 N
-d) 1.844E-13 N
-e) 2.029E-13 N

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

+a) 4.453E-07 s
-b) 4.898E-07 s
-c) 5.388E-07 s
-d) 5.927E-07 s
-e) 6.519E-07 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

-a) 2.596E-01 A
-b) 2.855E-01 A
+c) 3.141E-01 A
-d) 3.455E-01 A
-e) 3.801E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

+a) 5.205E-01 N/m
-b) 5.725E-01 N/m
-c) 6.297E-01 N/m
-d) 6.927E-01 N/m
-e) 7.620E-01 N/m

6) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

-a) 1.585E-07 N m
-b) 1.743E-07 N m
-c) 1.918E-07 N m
-d) 2.110E-07 N m
+e) 2.321E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 8.608E-01 MeV
-b) 9.468E-01 MeV
-c) 1.042E+00 MeV
-d) 1.146E+00 MeV
+e) 1.260E+00 MeV

#### Key: F1

1) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

-a) 1.585E-07 N m
-b) 1.743E-07 N m
-c) 1.918E-07 N m
-d) 2.110E-07 N m
+e) 2.321E-07 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

-a) 2.576E-14 N
-b) 2.834E-14 N
-c) 3.117E-14 N
-d) 3.429E-14 N
+e) 3.772E-14 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

4) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

6) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

-a) 2.259E-01 A
-b) 2.485E-01 A
+c) 2.734E-01 A
-d) 3.007E-01 A
-e) 3.308E-01 A

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV
8)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.080E-06 V
-b) 1.188E-06 V
-c) 1.306E-06 V
-d) 1.437E-06 V
+e) 1.581E-06 V

9) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

#### Key: F2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

-a) 4.783E-14 N
+b) 5.262E-14 N
-c) 5.788E-14 N
-d) 6.367E-14 N
-e) 7.003E-14 N

3) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

-a) 4.963E-01 A
-b) 5.459E-01 A
+c) 6.005E-01 A
-d) 6.605E-01 A
-e) 7.266E-01 A
5)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.648E-06 V
-b) 1.813E-06 V
-c) 1.994E-06 V
+d) 2.194E-06 V
-e) 2.413E-06 V

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

-a) 2.095E-06 s
+b) 2.305E-06 s
-c) 2.535E-06 s
-d) 2.789E-06 s
-e) 3.067E-06 s

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.676E+06 m/s
-b) 1.843E+06 m/s
-c) 2.028E+06 m/s
-d) 2.230E+06 m/s
-e) 2.453E+06 m/s

8) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

### Key: G0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

+a) 1.192E-13 N
-b) 1.311E-13 N
-c) 1.442E-13 N
-d) 1.586E-13 N
-e) 1.745E-13 N

2) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

+a) 5.560E-06 s
-b) 6.116E-06 s
-c) 6.728E-06 s
-d) 7.401E-06 s
-e) 8.141E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

-a) 3.999E-01 A
-b) 4.398E-01 A
-c) 4.838E-01 A
-d) 5.322E-01 A
+e) 5.854E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

-a) 1.062E+00 N/m
-b) 1.168E+00 N/m
-c) 1.285E+00 N/m
-d) 1.413E+00 N/m
+e) 1.555E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

+a) 7.629E-07 N m
-b) 8.392E-07 N m
-c) 9.232E-07 N m
-d) 1.015E-06 N m
-e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 8.092E+05 m/s
-b) 8.901E+05 m/s
-c) 9.791E+05 m/s
-d) 1.077E+06 m/s
-e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

#### Key: G1

1) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

-a) 1.644E-01 A
-b) 1.808E-01 A
+c) 1.989E-01 A
-d) 2.188E-01 A
-e) 2.406E-01 A
2)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.795E-06 V
-b) 7.475E-06 V
-c) 8.222E-06 V
+d) 9.045E-06 V
-e) 9.949E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

-a) 4.419E-14 N
-b) 4.861E-14 N
-c) 5.347E-14 N
+d) 5.882E-14 N
-e) 6.470E-14 N

4) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

-a) 1.336E+01 MeV
-b) 1.470E+01 MeV
-c) 1.617E+01 MeV
+d) 1.779E+01 MeV
-e) 1.957E+01 MeV

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s

8) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 8.971E+05 m/s
-b) 9.868E+05 m/s
-c) 1.085E+06 m/s
+d) 1.194E+06 m/s
-e) 1.313E+06 m/s

#### Key: G2

1) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

-a) 2.596E-01 A
-b) 2.855E-01 A
+c) 3.141E-01 A
-d) 3.455E-01 A
-e) 3.801E-01 A

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

-a) 1.940E-06 s
-b) 2.134E-06 s
-c) 2.347E-06 s
+d) 2.582E-06 s
-e) 2.840E-06 s

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.25 i + 7.71 j  + 2.91 k) x 104 m/s?

-a) 8.890E-14 N
-b) 9.779E-14 N
+c) 1.076E-13 N
-d) 1.183E-13 N
-e) 1.302E-13 N

5) A circular current loop of radius 1.17 cm carries a current of 3.68 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.179 T?

-a) 1.585E-07 N m
-b) 1.743E-07 N m
-c) 1.918E-07 N m
-d) 2.110E-07 N m
+e) 2.321E-07 N m

6) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m
+b) 5.399E+00 N/m
-c) 5.939E+00 N/m
-d) 6.533E+00 N/m
-e) 7.186E+00 N/m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 3.132E+05 m/s
-b) 3.445E+05 m/s
-c) 3.790E+05 m/s
-d) 4.169E+05 m/s
-e) 4.585E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.378 m and a magneticfield of 0.835 T. What is their maximum kinetic energy?

-a) 4.365E+00 MeV
+b) 4.801E+00 MeV
-c) 5.281E+00 MeV
-d) 5.809E+00 MeV
-e) 6.390E+00 MeV

### Key: H0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

-a) 9.727E-14 N
+b) 1.070E-13 N
-c) 1.177E-13 N
-d) 1.295E-13 N
-e) 1.424E-13 N

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

+a) 6.080E-06 s
-b) 6.688E-06 s
-c) 7.356E-06 s
-d) 8.092E-06 s
-e) 8.901E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

4) A 96 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.325 T. What current is required to maintain this balance?

-a) 2.596E-01 A
-b) 2.855E-01 A
+c) 3.141E-01 A
-d) 3.455E-01 A
-e) 3.801E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

-a) 1.510E+00 N/m
+b) 1.661E+00 N/m
-c) 1.827E+00 N/m
-d) 2.010E+00 N/m
-e) 2.211E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

+a) 7.629E-07 N m
-b) 8.392E-07 N m
-c) 9.232E-07 N m
-d) 1.015E-06 N m
-e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.43 mT and 4.670E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.362E+06 m/s
-b) 1.498E+06 m/s
-c) 1.647E+06 m/s
-d) 1.812E+06 m/s
-e) 1.993E+06 m/s
8)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 7.202E-06 V
-b) 7.922E-06 V
-c) 8.714E-06 V
-d) 9.586E-06 V
-e) 1.054E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

-a) 5.798E+00 MeV
+b) 6.377E+00 MeV
-c) 7.015E+00 MeV
-d) 7.717E+00 MeV
-e) 8.488E+00 MeV

#### Key: H1

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV
2)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.648E-06 V
-b) 1.813E-06 V
-c) 1.994E-06 V
+d) 2.194E-06 V
-e) 2.413E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

4) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

5) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

7) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

-a) 1.627E-06 s
+b) 1.790E-06 s
-c) 1.969E-06 s
-d) 2.166E-06 s
-e) 2.382E-06 s

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

#### Key: H2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

-a) 3.245E-07 s
-b) 3.569E-07 s
+c) 3.926E-07 s
-d) 4.319E-07 s
-e) 4.751E-07 s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

-a) 2.853E+00 MeV
+b) 3.139E+00 MeV
-c) 3.453E+00 MeV
-d) 3.798E+00 MeV
-e) 4.178E+00 MeV

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

-a) 2.222E-14 N
-b) 2.444E-14 N
-c) 2.688E-14 N
+d) 2.957E-14 N
-e) 3.253E-14 N
4)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

-a) 1.062E+00 N/m
-b) 1.168E+00 N/m
-c) 1.285E+00 N/m
-d) 1.413E+00 N/m
+e) 1.555E+00 N/m

6) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

+a) 1.141E-05 s
-b) 1.255E-05 s
-c) 1.381E-05 s
-d) 1.519E-05 s
-e) 1.671E-05 s

7) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

-a) 4.963E-01 A
-b) 5.459E-01 A
+c) 6.005E-01 A
-d) 6.605E-01 A
-e) 7.266E-01 A

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.671E+06 m/s
-b) 1.838E+06 m/s
-c) 2.022E+06 m/s
+d) 2.225E+06 m/s
-e) 2.447E+06 m/s

9) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

-a) 1.903E-07 N m
-b) 2.093E-07 N m
+c) 2.302E-07 N m
-d) 2.532E-07 N m
-e) 2.785E-07 N m

### Key: I0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.25 i + 7.71 j  + 2.91 k) x 104 m/s?

-a) 8.890E-14 N
-b) 9.779E-14 N
+c) 1.076E-13 N
-d) 1.183E-13 N
-e) 1.302E-13 N

2) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

-a) 3.432E-01 A
-b) 3.775E-01 A
-c) 4.152E-01 A
+d) 4.568E-01 A
-e) 5.024E-01 A

5) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m

6) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

+a) 5.610E-07 N m
-b) 6.171E-07 N m
-c) 6.788E-07 N m
-d) 7.467E-07 N m
-e) 8.213E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 8.971E+05 m/s
-b) 9.868E+05 m/s
-c) 1.085E+06 m/s
+d) 1.194E+06 m/s
-e) 1.313E+06 m/s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

-a) 2.853E+00 MeV
+b) 3.139E+00 MeV
-c) 3.453E+00 MeV
-d) 3.798E+00 MeV
-e) 4.178E+00 MeV

#### Key: I1

1)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 7.202E-06 V
-b) 7.922E-06 V
-c) 8.714E-06 V
-d) 9.586E-06 V
-e) 1.054E-05 V

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 5.554E+05 m/s
-b) 6.110E+05 m/s
-c) 6.720E+05 m/s
-d) 7.393E+05 m/s
-e) 8.132E+05 m/s

3) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

4) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

-a) 2.697E+00 N/m
-b) 2.967E+00 N/m
+c) 3.263E+00 N/m
-d) 3.590E+00 N/m
-e) 3.948E+00 N/m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

6) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

-a) 2.730E-06 s
+b) 3.003E-06 s
-c) 3.303E-06 s
-d) 3.633E-06 s
-e) 3.997E-06 s

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

-a) 1.757E-14 N
+b) 1.933E-14 N
-c) 2.126E-14 N
-d) 2.339E-14 N
-e) 2.573E-14 N

9) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

-a) 1.476E-06 N m
+b) 1.624E-06 N m
-c) 1.786E-06 N m
-d) 1.965E-06 N m
-e) 2.162E-06 N m

#### Key: I2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
2)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

3) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

4) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

+a) 1.141E-05 s
-b) 1.255E-05 s
-c) 1.381E-05 s
-d) 1.519E-05 s
-e) 1.671E-05 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

-a) 2.853E+00 MeV
+b) 3.139E+00 MeV
-c) 3.453E+00 MeV
-d) 3.798E+00 MeV
-e) 4.178E+00 MeV

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

-a) 1.828E-14 N
-b) 2.010E-14 N
-c) 2.211E-14 N
-d) 2.433E-14 N
+e) 2.676E-14 N

7) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

8) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

-a) 3.106E-01 A
+b) 3.416E-01 A
-c) 3.758E-01 A
-d) 4.134E-01 A
-e) 4.547E-01 A

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

### Key: J0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

-a) 5.296E-14 N
-b) 5.826E-14 N
+c) 6.408E-14 N
-d) 7.049E-14 N
-e) 7.754E-14 N

2) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

4) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

-a) 3.432E-01 A
-b) 3.775E-01 A
-c) 4.152E-01 A
+d) 4.568E-01 A
-e) 5.024E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

-a) 1.131E+00 N/m
-b) 1.244E+00 N/m
-c) 1.368E+00 N/m
+d) 1.505E+00 N/m
-e) 1.655E+00 N/m

6) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

+a) 7.629E-07 N m
-b) 8.392E-07 N m
-c) 9.232E-07 N m
-d) 1.015E-06 N m
-e) 1.117E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
8)
The silver ribbon shown are a=4.23 cm, b=3.7 cm, and c= 0.721 cm. The current carries a current of 144 A and it lies in a uniform magnetic field of 1.21 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.746E-06 V
-b) 1.921E-06 V
-c) 2.113E-06 V
-d) 2.324E-06 V
+e) 2.557E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

-a) 6.029E+00 MeV
-b) 6.631E+00 MeV
-c) 7.295E+00 MeV
+d) 8.024E+00 MeV
-e) 8.827E+00 MeV

#### Key: J1

1) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

-a) 3.432E-01 A
-b) 3.775E-01 A
-c) 4.152E-01 A
+d) 4.568E-01 A
-e) 5.024E-01 A

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

-a) 4.096E+00 N/m
+b) 4.505E+00 N/m
-c) 4.956E+00 N/m
-d) 5.451E+00 N/m
-e) 5.996E+00 N/m

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

4) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

+a) 1.022E-06 N m
-b) 1.124E-06 N m
-c) 1.236E-06 N m
-d) 1.360E-06 N m
-e) 1.496E-06 N m

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.070E+06 m/s
-b) 1.177E+06 m/s
-c) 1.295E+06 m/s
-d) 1.424E+06 m/s
-e) 1.566E+06 m/s

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N

7) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

-a) 2.189E-05 s
+b) 2.408E-05 s
-c) 2.649E-05 s
-d) 2.914E-05 s
-e) 3.205E-05 s

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

-a) 4.105E-07 s
+b) 4.515E-07 s
-c) 4.967E-07 s
-d) 5.464E-07 s
-e) 6.010E-07 s
9)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

#### Key: J2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

2) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

+a) 5.610E-07 N m
-b) 6.171E-07 N m
-c) 6.788E-07 N m
-d) 7.467E-07 N m
-e) 8.213E-07 N m

3) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A
-b) 1.291E+00 A
-c) 1.420E+00 A
-d) 1.562E+00 A
+e) 1.719E+00 A

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

5) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

+a) 1.141E-05 s
-b) 1.255E-05 s
-c) 1.381E-05 s
-d) 1.519E-05 s
-e) 1.671E-05 s

6) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m
7)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.193E-06 V
-b) 1.313E-06 V
-c) 1.444E-06 V
-d) 1.588E-06 V
+e) 1.747E-06 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.070E+06 m/s
-b) 1.177E+06 m/s
-c) 1.295E+06 m/s
-d) 1.424E+06 m/s
-e) 1.566E+06 m/s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

-a) 6.029E+00 MeV
-b) 6.631E+00 MeV
-c) 7.295E+00 MeV
+d) 8.024E+00 MeV
-e) 8.827E+00 MeV

### Key: K0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

-a) 1.386E-13 N
+b) 1.524E-13 N
-c) 1.676E-13 N
-d) 1.844E-13 N
-e) 2.029E-13 N

2) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

+a) 1.062E-05 s
-b) 1.168E-05 s
-c) 1.285E-05 s
-d) 1.413E-05 s
-e) 1.555E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

4) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

#### Key: K1

1) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

+a) 5.560E-06 s
-b) 6.116E-06 s
-c) 6.728E-06 s
-d) 7.401E-06 s
-e) 8.141E-06 s

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

-a) 5.296E-14 N
-b) 5.826E-14 N
+c) 6.408E-14 N
-d) 7.049E-14 N
-e) 7.754E-14 N

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 7.270E-07 s
-b) 7.997E-07 s
-c) 8.797E-07 s
-d) 9.676E-07 s
+e) 1.064E-06 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV
6)
The silver ribbon shown are a=4.65 cm, b=3.43 cm, and c= 1.15 cm. The current carries a current of 279 A and it lies in a uniform magnetic field of 3.48 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.100E-06 V
-b) 6.710E-06 V
-c) 7.381E-06 V
-d) 8.120E-06 V
+e) 8.931E-06 V

7) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

8) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.671E+06 m/s
-b) 1.838E+06 m/s
-c) 2.022E+06 m/s
+d) 2.225E+06 m/s
-e) 2.447E+06 m/s

#### Key: K2

1)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

-a) 1.828E-14 N
-b) 2.010E-14 N
-c) 2.211E-14 N
-d) 2.433E-14 N
+e) 2.676E-14 N

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

5) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.671E+06 m/s
-b) 1.838E+06 m/s
-c) 2.022E+06 m/s
+d) 2.225E+06 m/s
-e) 2.447E+06 m/s

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

-a) 1.004E+00 MeV
-b) 1.104E+00 MeV
-c) 1.215E+00 MeV
-d) 1.336E+00 MeV
+e) 1.470E+00 MeV

8) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

9) A 42 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.48 T. What current is required to maintain this balance?

-a) 2.812E-01 A
-b) 3.093E-01 A
+c) 3.403E-01 A
-d) 3.743E-01 A
-e) 4.117E-01 A

### Key: L0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

-a) 4.419E-14 N
-b) 4.861E-14 N
-c) 5.347E-14 N
+d) 5.882E-14 N
-e) 6.470E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

6) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

-a) 1.903E-07 N m
-b) 2.093E-07 N m
+c) 2.302E-07 N m
-d) 2.532E-07 N m
-e) 2.785E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

#### Key: L1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

-a) 1.386E-13 N
+b) 1.524E-13 N
-c) 1.676E-13 N
-d) 1.844E-13 N
-e) 2.029E-13 N

2) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.070E+06 m/s
-b) 1.177E+06 m/s
-c) 1.295E+06 m/s
-d) 1.424E+06 m/s
-e) 1.566E+06 m/s
4)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

5) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

-a) 2.875E+00 MeV
-b) 3.162E+00 MeV
-c) 3.479E+00 MeV
-d) 3.827E+00 MeV
+e) 4.209E+00 MeV

7) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

+a) 2.009E-07 N m
-b) 2.210E-07 N m
-c) 2.431E-07 N m
-d) 2.674E-07 N m
-e) 2.941E-07 N m

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

+a) 4.453E-07 s
-b) 4.898E-07 s
-c) 5.388E-07 s
-d) 5.927E-07 s
-e) 6.519E-07 s

9) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

-a) 2.037E-01 A
+b) 2.241E-01 A
-c) 2.465E-01 A
-d) 2.712E-01 A
-e) 2.983E-01 A

#### Key: L2

1) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

-a) 7.898E-07 N m
-b) 8.688E-07 N m
+c) 9.557E-07 N m
-d) 1.051E-06 N m
-e) 1.156E-06 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

-a) 1.757E-14 N
+b) 1.933E-14 N
-c) 2.126E-14 N
-d) 2.339E-14 N
-e) 2.573E-14 N

3) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
4)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

5) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

-a) 7.056E-02 A
-b) 7.762E-02 A
-c) 8.538E-02 A
+d) 9.392E-02 A
-e) 1.033E-01 A

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

-a) 1.004E+00 MeV
-b) 1.104E+00 MeV
-c) 1.215E+00 MeV
-d) 1.336E+00 MeV
+e) 1.470E+00 MeV

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

-a) 1.001E+00 N/m
-b) 1.101E+00 N/m
+c) 1.211E+00 N/m
-d) 1.332E+00 N/m
-e) 1.465E+00 N/m

9) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

### Key: M0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

2) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

-a) 2.899E-05 s
-b) 3.189E-05 s
+c) 3.508E-05 s
-d) 3.859E-05 s
-e) 4.244E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s

4) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A
-b) 1.291E+00 A
-c) 1.420E+00 A
-d) 1.562E+00 A
+e) 1.719E+00 A

5) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m

6) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

-a) 1.476E-06 N m
+b) 1.624E-06 N m
-c) 1.786E-06 N m
-d) 1.965E-06 N m
-e) 2.162E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV

#### Key: M1

1) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m
+b) 5.399E+00 N/m
-c) 5.939E+00 N/m
-d) 6.533E+00 N/m
-e) 7.186E+00 N/m

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s
3)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

4) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

-a) 2.875E+00 MeV
-b) 3.162E+00 MeV
-c) 3.479E+00 MeV
-d) 3.827E+00 MeV
+e) 4.209E+00 MeV

6) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

+a) 1.113E-07 N m
-b) 1.224E-07 N m
-c) 1.347E-07 N m
-d) 1.481E-07 N m
-e) 1.629E-07 N m

7) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

-a) 1.956E-01 A
-b) 2.152E-01 A
-c) 2.367E-01 A
-d) 2.604E-01 A
+e) 2.864E-01 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

-a) 4.105E-07 s
+b) 4.515E-07 s
-c) 4.967E-07 s
-d) 5.464E-07 s
-e) 6.010E-07 s

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

-a) 5.296E-14 N
-b) 5.826E-14 N
+c) 6.408E-14 N
-d) 7.049E-14 N
-e) 7.754E-14 N

#### Key: M2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 5.554E+05 m/s
-b) 6.110E+05 m/s
-c) 6.720E+05 m/s
-d) 7.393E+05 m/s
-e) 8.132E+05 m/s
3)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

-a) 2.561E-07 s
+b) 2.817E-07 s
-c) 3.099E-07 s
-d) 3.409E-07 s
-e) 3.750E-07 s

6) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

+a) 2.847E+00 N/m
-b) 3.132E+00 N/m
-c) 3.445E+00 N/m
-d) 3.789E+00 N/m
-e) 4.168E+00 N/m

7) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

8) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

+a) 6.080E-06 s
-b) 6.688E-06 s
-c) 7.356E-06 s
-d) 8.092E-06 s
-e) 8.901E-06 s

9) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

### Key: N0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

-a) 9.727E-14 N
+b) 1.070E-13 N
-c) 1.177E-13 N
-d) 1.295E-13 N
-e) 1.424E-13 N

2) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

4) A 44 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.784 T. What current is required to maintain this balance?

-a) 1.644E-01 A
-b) 1.808E-01 A
+c) 1.989E-01 A
-d) 2.188E-01 A
-e) 2.406E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

-a) 1.062E+00 N/m
-b) 1.168E+00 N/m
-c) 1.285E+00 N/m
-d) 1.413E+00 N/m
+e) 1.555E+00 N/m

6) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.070E+06 m/s
-b) 1.177E+06 m/s
-c) 1.295E+06 m/s
-d) 1.424E+06 m/s
-e) 1.566E+06 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

#### Key: N1

1) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

-a) 4.419E-14 N
-b) 4.861E-14 N
-c) 5.347E-14 N
+d) 5.882E-14 N
-e) 6.470E-14 N

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 2.746E+06 m/s
-b) 3.021E+06 m/s
-c) 3.323E+06 m/s
-d) 3.655E+06 m/s
-e) 4.020E+06 m/s

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

+a) 5.205E-01 N/m
-b) 5.725E-01 N/m
-c) 6.297E-01 N/m
-d) 6.927E-01 N/m
-e) 7.620E-01 N/m

6) A circular current loop of radius 1.11 cm carries a current of 4.0 mA. What is the magnitude of the torque if the dipole is oriented at 68 ° to a uniform magnetic fied of 0.173 T?

-a) 1.866E-07 N m
-b) 2.052E-07 N m
-c) 2.258E-07 N m
+d) 2.484E-07 N m
-e) 2.732E-07 N m

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s
8)
The silver ribbon shown are a=3.89 cm, b=3.43 cm, and c= 1.21 cm. The current carries a current of 77 A and it lies in a uniform magnetic field of 2.16 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.322E-06 V
+b) 1.454E-06 V
-c) 1.600E-06 V
-d) 1.759E-06 V
-e) 1.935E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

-a) 5.798E+00 MeV
+b) 6.377E+00 MeV
-c) 7.015E+00 MeV
-d) 7.717E+00 MeV
-e) 8.488E+00 MeV

#### Key: N2

1) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.676E+06 m/s
-b) 1.843E+06 m/s
-c) 2.028E+06 m/s
-d) 2.230E+06 m/s
-e) 2.453E+06 m/s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s
5)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

6) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

7) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

### Key: O0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

-a) 1.757E-14 N
+b) 1.933E-14 N
-c) 2.126E-14 N
-d) 2.339E-14 N
-e) 2.573E-14 N

2) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

+a) 2.847E+00 N/m
-b) 3.132E+00 N/m
-c) 3.445E+00 N/m
-d) 3.789E+00 N/m
-e) 4.168E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

+a) 5.805E-08 N m
-b) 6.386E-08 N m
-c) 7.024E-08 N m
-d) 7.727E-08 N m
-e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.829E+05 m/s
-b) 5.312E+05 m/s
-c) 5.843E+05 m/s
+d) 6.427E+05 m/s
-e) 7.070E+05 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.449 m and a magneticfield of 0.81 T. What is their maximum kinetic energy?

-a) 5.795E+00 MeV
+b) 6.374E+00 MeV
-c) 7.012E+00 MeV
-d) 7.713E+00 MeV
-e) 8.484E+00 MeV

#### Key: O1

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 9.223E+05 m/s
+b) 1.015E+06 m/s
-c) 1.116E+06 m/s
-d) 1.228E+06 m/s
-e) 1.350E+06 m/s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

-a) 8.137E-07 s
+b) 8.951E-07 s
-c) 9.846E-07 s
-d) 1.083E-06 s
-e) 1.191E-06 s

3) A charged particle in a magnetic field of 1.480E-04 T is moving perpendicular to the magnetic field with a speed of 4.520E+05 m/s. What is the period of orbit if orbital radius is 0.4 m?

+a) 5.560E-06 s
-b) 6.116E-06 s
-c) 6.728E-06 s
-d) 7.401E-06 s
-e) 8.141E-06 s

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.118 m and a magneticfield of 1.48 T. What is their maximum kinetic energy?

-a) 1.004E+00 MeV
-b) 1.104E+00 MeV
-c) 1.215E+00 MeV
-d) 1.336E+00 MeV
+e) 1.470E+00 MeV
5)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

6) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

-a) 3.582E-07 N m
-b) 3.940E-07 N m
-c) 4.334E-07 N m
+d) 4.768E-07 N m
-e) 5.245E-07 N m

7) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.21 i + 5.39 j  + 3.81 k) x 104 m/s?

-a) 4.419E-14 N
-b) 4.861E-14 N
-c) 5.347E-14 N
+d) 5.882E-14 N
-e) 6.470E-14 N

9) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A
-b) 1.291E+00 A
-c) 1.420E+00 A
-d) 1.562E+00 A
+e) 1.719E+00 A

#### Key: O2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

-a) 1.336E+01 MeV
-b) 1.470E+01 MeV
-c) 1.617E+01 MeV
+d) 1.779E+01 MeV
-e) 1.957E+01 MeV

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 104 m/s?

-a) 1.757E-14 N
+b) 1.933E-14 N
-c) 2.126E-14 N
-d) 2.339E-14 N
-e) 2.573E-14 N

3) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s

5) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

+a) 7.327E-06 s
-b) 8.060E-06 s
-c) 8.865E-06 s
-d) 9.752E-06 s
-e) 1.073E-05 s

6) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m
7)
The silver ribbon shown are a=4.65 cm, b=3.43 cm, and c= 1.15 cm. The current carries a current of 279 A and it lies in a uniform magnetic field of 3.48 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.100E-06 V
-b) 6.710E-06 V
-c) 7.381E-06 V
-d) 8.120E-06 V
+e) 8.931E-06 V

8) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s

### Key: P0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

-a) 2.189E-05 s
+b) 2.408E-05 s
-c) 2.649E-05 s
-d) 2.914E-05 s
-e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

4) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

-a) 3.648E+00 N/m
-b) 4.012E+00 N/m
-c) 4.414E+00 N/m
-d) 4.855E+00 N/m
+e) 5.341E+00 N/m

6) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

+a) 2.009E-07 N m
-b) 2.210E-07 N m
-c) 2.431E-07 N m
-d) 2.674E-07 N m
-e) 2.941E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 3.132E+05 m/s
-b) 3.445E+05 m/s
-c) 3.790E+05 m/s
-d) 4.169E+05 m/s
-e) 4.585E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV

#### Key: P1

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.061 T . It emerges after being deflected by 75° from its original direction. How much time did it spend in that magnetic field?

+a) 4.453E-07 s
-b) 4.898E-07 s
-c) 5.388E-07 s
-d) 5.927E-07 s
-e) 6.519E-07 s

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

3) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A
-b) 1.291E+00 A
-c) 1.420E+00 A
-d) 1.562E+00 A
+e) 1.719E+00 A
4)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

5) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N

6) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

-a) 1.510E+00 N/m
+b) 1.661E+00 N/m
-c) 1.827E+00 N/m
-d) 2.010E+00 N/m
-e) 2.211E+00 N/m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

8) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

+a) 7.629E-07 N m
-b) 8.392E-07 N m
-c) 9.232E-07 N m
-d) 1.015E-06 N m
-e) 1.117E-06 N m

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

#### Key: P2

1)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.648E-06 V
-b) 1.813E-06 V
-c) 1.994E-06 V
+d) 2.194E-06 V
-e) 2.413E-06 V

2) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.060E+06 m/s
-b) 1.166E+06 m/s
-c) 1.282E+06 m/s
-d) 1.411E+06 m/s
+e) 1.552E+06 m/s

3) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

5) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

-a) 2.819E-07 s
-b) 3.101E-07 s
+c) 3.411E-07 s
-d) 3.752E-07 s
-e) 4.128E-07 s

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

7) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

+a) 1.062E-05 s
-b) 1.168E-05 s
-c) 1.285E-05 s
-d) 1.413E-05 s
-e) 1.555E-05 s

8) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

-a) 1.828E-14 N
-b) 2.010E-14 N
-c) 2.211E-14 N
-d) 2.433E-14 N
+e) 2.676E-14 N

9) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

-a) 1.510E+00 N/m
+b) 1.661E+00 N/m
-c) 1.827E+00 N/m
-d) 2.010E+00 N/m
-e) 2.211E+00 N/m

### Key: Q0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

2) A charged particle in a magnetic field of 3.600E-04 T is moving perpendicular to the magnetic field with a speed of 5.960E+05 m/s. What is the period of orbit if orbital radius is 0.397 m?

-a) 3.805E-06 s
+b) 4.185E-06 s
-c) 4.604E-06 s
-d) 5.064E-06 s
-e) 5.571E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 4.629E-07 s
-b) 5.092E-07 s
-c) 5.601E-07 s
+d) 6.161E-07 s
-e) 6.777E-07 s

4) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

+a) 5.205E-01 N/m
-b) 5.725E-01 N/m
-c) 6.297E-01 N/m
-d) 6.927E-01 N/m
-e) 7.620E-01 N/m

6) A circular current loop of radius 3.25 cm carries a current of 2.78 mA. What is the magnitude of the torque if the dipole is oriented at 55 ° to a uniform magnetic fied of 0.523 T?

-a) 2.699E-06 N m
-b) 2.969E-06 N m
-c) 3.266E-06 N m
-d) 3.593E-06 N m
+e) 3.952E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 3.132E+05 m/s
-b) 3.445E+05 m/s
-c) 3.790E+05 m/s
-d) 4.169E+05 m/s
-e) 4.585E+05 m/s
8)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

#### Key: Q1

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0582 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

+a) 4.791E-07 s
-b) 5.271E-07 s
-c) 5.798E-07 s
-d) 6.377E-07 s
-e) 7.015E-07 s

2) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

4) A circular current loop of radius 1.88 cm carries a current of 3.41 mA. What is the magnitude of the torque if the dipole is oriented at 62 ° to a uniform magnetic fied of 0.415 T?

+a) 1.387E-06 N m
-b) 1.526E-06 N m
-c) 1.679E-06 N m
-d) 1.847E-06 N m
-e) 2.031E-06 N m

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

-a) 5.798E+00 MeV
+b) 6.377E+00 MeV
-c) 7.015E+00 MeV
-d) 7.717E+00 MeV
-e) 8.488E+00 MeV

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

8) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 5.554E+05 m/s
-b) 6.110E+05 m/s
-c) 6.720E+05 m/s
-d) 7.393E+05 m/s
-e) 8.132E+05 m/s

#### Key: Q2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 5.554E+05 m/s
-b) 6.110E+05 m/s
-c) 6.720E+05 m/s
-d) 7.393E+05 m/s
-e) 8.132E+05 m/s

2) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

-a) 4.784E-06 s
+b) 5.262E-06 s
-c) 5.788E-06 s
-d) 6.367E-06 s
-e) 7.004E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

-a) 1.940E-06 s
-b) 2.134E-06 s
-c) 2.347E-06 s
+d) 2.582E-06 s
-e) 2.840E-06 s

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

-a) 6.029E+00 MeV
-b) 6.631E+00 MeV
-c) 7.295E+00 MeV
+d) 8.024E+00 MeV
-e) 8.827E+00 MeV

5) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

6) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

-a) 1.956E-01 A
-b) 2.152E-01 A
-c) 2.367E-01 A
-d) 2.604E-01 A
+e) 2.864E-01 A
7)
The silver ribbon shown are a=3.55 cm, b=2.99 cm, and c= 1.03 cm. The current carries a current of 135 A and it lies in a uniform magnetic field of 1.26 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.193E-06 V
-b) 1.313E-06 V
-c) 1.444E-06 V
-d) 1.588E-06 V
+e) 1.747E-06 V

8) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

-a) 2.697E+00 N/m
-b) 2.967E+00 N/m
+c) 3.263E+00 N/m
-d) 3.590E+00 N/m
-e) 3.948E+00 N/m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

-a) 5.296E-14 N
-b) 5.826E-14 N
+c) 6.408E-14 N
-d) 7.049E-14 N
-e) 7.754E-14 N

### Key: R0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

-a) 7.509E-14 N
-b) 8.259E-14 N
+c) 9.085E-14 N
-d) 9.994E-14 N
-e) 1.099E-13 N

2) A charged particle in a magnetic field of 1.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.330E+05 m/s. What is the period of orbit if orbital radius is 0.893 m?

-a) 2.189E-05 s
+b) 2.408E-05 s
-c) 2.649E-05 s
-d) 2.914E-05 s
-e) 3.205E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0108 T . It emerges after being deflected by 77° from its original direction. How much time did it spend in that magnetic field?

-a) 1.940E-06 s
-b) 2.134E-06 s
-c) 2.347E-06 s
+d) 2.582E-06 s
-e) 2.840E-06 s

4) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

-a) 1.956E-01 A
-b) 2.152E-01 A
-c) 2.367E-01 A
-d) 2.604E-01 A
+e) 2.864E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

6) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

-a) 1.336E+01 MeV
-b) 1.470E+01 MeV
-c) 1.617E+01 MeV
+d) 1.779E+01 MeV
-e) 1.957E+01 MeV

#### Key: R1

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 4.629E-07 s
-b) 5.092E-07 s
-c) 5.601E-07 s
+d) 6.161E-07 s
-e) 6.777E-07 s

3) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

-a) 2.730E-06 s
+b) 3.003E-06 s
-c) 3.303E-06 s
-d) 3.633E-06 s
-e) 3.997E-06 s

4) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

-a) 1.131E+00 N/m
-b) 1.244E+00 N/m
-c) 1.368E+00 N/m
+d) 1.505E+00 N/m
-e) 1.655E+00 N/m
5)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

7) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

8) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N

#### Key: R2

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

-a) 2.095E-06 s
+b) 2.305E-06 s
-c) 2.535E-06 s
-d) 2.789E-06 s
-e) 3.067E-06 s

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

3) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

4) A circular current loop of radius 2.1 cm carries a current of 5.02 mA. What is the magnitude of the torque if the dipole is oriented at 26 ° to a uniform magnetic fied of 0.184 T?

+a) 5.610E-07 N m
-b) 6.171E-07 N m
-c) 6.788E-07 N m
-d) 7.467E-07 N m
-e) 8.213E-07 N m

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

6) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A
7)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 7.202E-06 V
-b) 7.922E-06 V
-c) 8.714E-06 V
-d) 9.586E-06 V
-e) 1.054E-05 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s

9) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

-a) 3.648E+00 N/m
-b) 4.012E+00 N/m
-c) 4.414E+00 N/m
-d) 4.855E+00 N/m
+e) 5.341E+00 N/m

### Key: S0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.55 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.96 i + 1.68 j  + 6.92 k) x 104 m/s?

-a) 4.179E-14 N
+b) 4.596E-14 N
-c) 5.056E-14 N
-d) 5.562E-14 N
-e) 6.118E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

-a) 2.095E-06 s
+b) 2.305E-06 s
-c) 2.535E-06 s
-d) 2.789E-06 s
-e) 3.067E-06 s

4) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

5) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.265 T magnetic field is directed 26° away from the wire?

-a) 3.840E-01 N/m
-b) 4.224E-01 N/m
+c) 4.647E-01 N/m
-d) 5.111E-01 N/m
-e) 5.623E-01 N/m

6) A circular current loop of radius 1.63 cm carries a current of 2.38 mA. What is the magnitude of the torque if the dipole is oriented at 54 ° to a uniform magnetic fied of 0.125 T?

+a) 2.009E-07 N m
-b) 2.210E-07 N m
-c) 2.431E-07 N m
-d) 2.674E-07 N m
-e) 2.941E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.676E+06 m/s
-b) 1.843E+06 m/s
-c) 2.028E+06 m/s
-d) 2.230E+06 m/s
-e) 2.453E+06 m/s
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

-a) 8.881E+00 MeV
-b) 9.769E+00 MeV
-c) 1.075E+01 MeV
-d) 1.182E+01 MeV
+e) 1.300E+01 MeV

#### Key: S1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

-a) 7.509E-14 N
-b) 8.259E-14 N
+c) 9.085E-14 N
-d) 9.994E-14 N
-e) 1.099E-13 N

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

3) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A

4) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

+a) 1.113E-07 N m
-b) 1.224E-07 N m
-c) 1.347E-07 N m
-d) 1.481E-07 N m
-e) 1.629E-07 N m

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m
+b) 5.399E+00 N/m
-c) 5.939E+00 N/m
-d) 6.533E+00 N/m
-e) 7.186E+00 N/m
6)
The silver ribbon shown are a=4.72 cm, b=4.17 cm, and c= 1.53 cm. The current carries a current of 235 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.648E-06 V
-b) 1.813E-06 V
-c) 1.994E-06 V
+d) 2.194E-06 V
-e) 2.413E-06 V

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

-a) 6.029E+00 MeV
-b) 6.631E+00 MeV
-c) 7.295E+00 MeV
+d) 8.024E+00 MeV
-e) 8.827E+00 MeV

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 3.43 mT and 4.670E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.362E+06 m/s
-b) 1.498E+06 m/s
-c) 1.647E+06 m/s
-d) 1.812E+06 m/s
-e) 1.993E+06 m/s

9) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

+a) 1.062E-05 s
-b) 1.168E-05 s
-c) 1.285E-05 s
-d) 1.413E-05 s
-e) 1.555E-05 s

#### Key: S2

1) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.829E+05 m/s
-b) 5.312E+05 m/s
-c) 5.843E+05 m/s
+d) 6.427E+05 m/s
-e) 7.070E+05 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.232 m and a magneticfield of 1.1 T. What is their maximum kinetic energy?

-a) 2.853E+00 MeV
+b) 3.139E+00 MeV
-c) 3.453E+00 MeV
-d) 3.798E+00 MeV
-e) 4.178E+00 MeV

3) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

+a) 7.327E-06 s
-b) 8.060E-06 s
-c) 8.865E-06 s
-d) 9.752E-06 s
-e) 1.073E-05 s

4) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

5) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

7) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m
8)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

### Key: T0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

2) A charged particle in a magnetic field of 4.910E-04 T is moving perpendicular to the magnetic field with a speed of 3.000E+05 m/s. What is the period of orbit if orbital radius is 0.507 m?

+a) 1.062E-05 s
-b) 1.168E-05 s
-c) 1.285E-05 s
-d) 1.413E-05 s
-e) 1.555E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0393 T . It emerges after being deflected by 49° from its original direction. How much time did it spend in that magnetic field?

-a) 4.105E-07 s
+b) 4.515E-07 s
-c) 4.967E-07 s
-d) 5.464E-07 s
-e) 6.010E-07 s

4) A 92 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 15 g, and the magnitude of the magnetic field is 0.713 T. What current is required to maintain this balance?

-a) 2.037E-01 A
+b) 2.241E-01 A
-c) 2.465E-01 A
-d) 2.712E-01 A
-e) 2.983E-01 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.88 T magnetic field is directed 47° away from the wire?

-a) 4.096E+00 N/m
+b) 4.505E+00 N/m
-c) 4.956E+00 N/m
-d) 5.451E+00 N/m
-e) 5.996E+00 N/m

6) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.59 mT and 4.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.676E+06 m/s
-b) 1.843E+06 m/s
-c) 2.028E+06 m/s
-d) 2.230E+06 m/s
-e) 2.453E+06 m/s
8)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.795E-06 V
-b) 7.475E-06 V
-c) 8.222E-06 V
+d) 9.045E-06 V
-e) 9.949E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

-a) 8.491E+00 MeV
-b) 9.340E+00 MeV
+c) 1.027E+01 MeV
-d) 1.130E+01 MeV
-e) 1.243E+01 MeV

#### Key: T1

1) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

2) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

+a) 1.141E-05 s
-b) 1.255E-05 s
-c) 1.381E-05 s
-d) 1.519E-05 s
-e) 1.671E-05 s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

-a) 8.491E+00 MeV
-b) 9.340E+00 MeV
+c) 1.027E+01 MeV
-d) 1.130E+01 MeV
-e) 1.243E+01 MeV

4) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

-a) 3.245E-07 s
-b) 3.569E-07 s
+c) 3.926E-07 s
-d) 4.319E-07 s
-e) 4.751E-07 s

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

6) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N
7)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

8) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s

9) A 72 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 14 g, and the magnitude of the magnetic field is 0.54 T. What current is required to maintain this balance?

-a) 2.651E-01 A
-b) 2.916E-01 A
-c) 3.208E-01 A
+d) 3.529E-01 A
-e) 3.882E-01 A

#### Key: T2

1) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

3) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

4) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.83 T magnetic field is directed 22° away from the wire?

-a) 1.062E+00 N/m
-b) 1.168E+00 N/m
-c) 1.285E+00 N/m
-d) 1.413E+00 N/m
+e) 1.555E+00 N/m

5) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

-a) 8.491E+00 MeV
-b) 9.340E+00 MeV
+c) 1.027E+01 MeV
-d) 1.130E+01 MeV
-e) 1.243E+01 MeV

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 4.629E-07 s
-b) 5.092E-07 s
-c) 5.601E-07 s
+d) 6.161E-07 s
-e) 6.777E-07 s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 8.092E+05 m/s
-b) 8.901E+05 m/s
-c) 9.791E+05 m/s
-d) 1.077E+06 m/s
-e) 1.185E+06 m/s

### Key: U0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

2) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

+a) 7.327E-06 s
-b) 8.060E-06 s
-c) 8.865E-06 s
-d) 9.752E-06 s
-e) 1.073E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

4) A 57 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.447 T. What current is required to maintain this balance?

-a) 2.225E-01 A
-b) 2.448E-01 A
+c) 2.692E-01 A
-d) 2.962E-01 A
-e) 3.258E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

6) A circular current loop of radius 1.88 cm carries a current of 3.41 mA. What is the magnitude of the torque if the dipole is oriented at 62 ° to a uniform magnetic fied of 0.415 T?

+a) 1.387E-06 N m
-b) 1.526E-06 N m
-c) 1.679E-06 N m
-d) 1.847E-06 N m
-e) 2.031E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.829E+05 m/s
-b) 5.312E+05 m/s
-c) 5.843E+05 m/s
+d) 6.427E+05 m/s
-e) 7.070E+05 m/s
8)
The silver ribbon shown are a=3.84 cm, b=3.45 cm, and c= 1.38 cm. The current carries a current of 92 A and it lies in a uniform magnetic field of 1.35 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 7.153E-07 V
-b) 7.869E-07 V
-c) 8.655E-07 V
+d) 9.521E-07 V
-e) 1.047E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.355 m and a magneticfield of 1.28 T. What is their maximum kinetic energy?

-a) 7.476E+00 MeV
-b) 8.224E+00 MeV
-c) 9.046E+00 MeV
+d) 9.951E+00 MeV
-e) 1.095E+01 MeV

#### Key: U1

1) A charged particle in a magnetic field of 4.970E-04 T is moving perpendicular to the magnetic field with a speed of 2.950E+05 m/s. What is the period of orbit if orbital radius is 0.344 m?

+a) 7.327E-06 s
-b) 8.060E-06 s
-c) 8.865E-06 s
-d) 9.752E-06 s
-e) 1.073E-05 s

2) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m
+b) 5.399E+00 N/m
-c) 5.939E+00 N/m
-d) 6.533E+00 N/m
-e) 7.186E+00 N/m

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

-a) 8.491E+00 MeV
-b) 9.340E+00 MeV
+c) 1.027E+01 MeV
-d) 1.130E+01 MeV
-e) 1.243E+01 MeV

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.85 mT and 3.760E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.829E+05 m/s
-b) 5.312E+05 m/s
-c) 5.843E+05 m/s
+d) 6.427E+05 m/s
-e) 7.070E+05 m/s

5) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A
6)
The silver ribbon shown are a=3.6 cm, b=2.68 cm, and c= 1.13 cm. The current carries a current of 97 A and it lies in a uniform magnetic field of 1.89 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.560E-06 V
+b) 1.716E-06 V
-c) 1.888E-06 V
-d) 2.077E-06 V
-e) 2.284E-06 V

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

-a) 2.561E-07 s
+b) 2.817E-07 s
-c) 3.099E-07 s
-d) 3.409E-07 s
-e) 3.750E-07 s

9) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

+a) 1.113E-07 N m
-b) 1.224E-07 N m
-c) 1.347E-07 N m
-d) 1.481E-07 N m
-e) 1.629E-07 N m

#### Key: U2

1) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

-a) 3.106E-01 A
+b) 3.416E-01 A
-c) 3.758E-01 A
-d) 4.134E-01 A
-e) 4.547E-01 A

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

-a) 2.819E-07 s
-b) 3.101E-07 s
+c) 3.411E-07 s
-d) 3.752E-07 s
-e) 4.128E-07 s

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.419 m and a magneticfield of 1.45 T. What is their maximum kinetic energy?

-a) 1.336E+01 MeV
-b) 1.470E+01 MeV
-c) 1.617E+01 MeV
+d) 1.779E+01 MeV
-e) 1.957E+01 MeV

4) A charged particle in a magnetic field of 5.500E-04 T is moving perpendicular to the magnetic field with a speed of 2.930E+05 m/s. What is the period of orbit if orbital radius is 0.787 m?

+a) 1.688E-05 s
-b) 1.856E-05 s
-c) 2.042E-05 s
-d) 2.246E-05 s
-e) 2.471E-05 s

5) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

-a) 3.582E-07 N m
-b) 3.940E-07 N m
-c) 4.334E-07 N m
+d) 4.768E-07 N m
-e) 5.245E-07 N m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.04 mT and 7.820E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 1.060E+06 m/s
-b) 1.166E+06 m/s
-c) 1.282E+06 m/s
-d) 1.411E+06 m/s
+e) 1.552E+06 m/s

7) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 104 m/s?

-a) 2.222E-14 N
-b) 2.444E-14 N
-c) 2.688E-14 N
+d) 2.957E-14 N
-e) 3.253E-14 N

8) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.394 T magnetic field is directed 14° away from the wire?

-a) 6.302E-01 N/m
-b) 6.932E-01 N/m
+c) 7.625E-01 N/m
-d) 8.388E-01 N/m
-e) 9.227E-01 N/m
9)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

### Key: V0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

-a) 2.576E-14 N
-b) 2.834E-14 N
-c) 3.117E-14 N
-d) 3.429E-14 N
+e) 3.772E-14 N

2) A charged particle in a magnetic field of 4.130E-04 T is moving perpendicular to the magnetic field with a speed of 4.710E+05 m/s. What is the period of orbit if orbital radius is 0.458 m?

+a) 6.110E-06 s
-b) 6.721E-06 s
-c) 7.393E-06 s
-d) 8.132E-06 s
-e) 8.945E-06 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

-a) 8.137E-07 s
+b) 8.951E-07 s
-c) 9.846E-07 s
-d) 1.083E-06 s
-e) 1.191E-06 s

4) A 82 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.459 T. What current is required to maintain this balance?

-a) 1.956E-01 A
-b) 2.152E-01 A
-c) 2.367E-01 A
-d) 2.604E-01 A
+e) 2.864E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 8.092E+05 m/s
-b) 8.901E+05 m/s
-c) 9.791E+05 m/s
-d) 1.077E+06 m/s
-e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

-a) 4.914E-01 MeV
-b) 5.406E-01 MeV
-c) 5.946E-01 MeV
+d) 6.541E-01 MeV
-e) 7.195E-01 MeV

#### Key: V1

1)
The silver ribbon shown are a=4.26 cm, b=3.62 cm, and c= 1.5 cm. The current carries a current of 181 A and it lies in a uniform magnetic field of 1.96 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 2.275E-06 V
+b) 2.502E-06 V
-c) 2.752E-06 V
-d) 3.027E-06 V
-e) 3.330E-06 V

2) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

3) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.504 T magnetic field is directed 70° away from the wire?

-a) 2.348E+00 N/m
-b) 2.583E+00 N/m
+c) 2.842E+00 N/m
-d) 3.126E+00 N/m
-e) 3.438E+00 N/m

4) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

5) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.23 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(3.84 i + 8.79 j  + 9.05 k) x 104 m/s?

-a) 7.509E-14 N
-b) 8.259E-14 N
+c) 9.085E-14 N
-d) 9.994E-14 N
-e) 1.099E-13 N

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0482 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 4.629E-07 s
-b) 5.092E-07 s
-c) 5.601E-07 s
+d) 6.161E-07 s
-e) 6.777E-07 s

8) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

-a) 2.899E-05 s
-b) 3.189E-05 s
+c) 3.508E-05 s
-d) 3.859E-05 s
-e) 4.244E-05 s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

#### Key: V2

1) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s
3)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.375E-05 V
+b) 1.513E-05 V
-c) 1.664E-05 V
-d) 1.831E-05 V
-e) 2.014E-05 V

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.16 i + 2.1 j  + 1.74 k) x 104 m/s?

-a) 4.783E-14 N
+b) 5.262E-14 N
-c) 5.788E-14 N
-d) 6.367E-14 N
-e) 7.003E-14 N

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.394 T magnetic field is directed 14° away from the wire?

-a) 6.302E-01 N/m
-b) 6.932E-01 N/m
+c) 7.625E-01 N/m
-d) 8.388E-01 N/m
-e) 9.227E-01 N/m

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.504E+06 m/s
-b) 1.655E+06 m/s
-c) 1.820E+06 m/s
-d) 2.002E+06 m/s
-e) 2.202E+06 m/s

7) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

8) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

-a) 3.582E-07 N m
-b) 3.940E-07 N m
-c) 4.334E-07 N m
+d) 4.768E-07 N m
-e) 5.245E-07 N m

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

-a) 2.875E+00 MeV
-b) 3.162E+00 MeV
-c) 3.479E+00 MeV
-d) 3.827E+00 MeV
+e) 4.209E+00 MeV

### Key: W0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0887 T . It emerges after being deflected by 69° from its original direction. How much time did it spend in that magnetic field?

-a) 2.561E-07 s
+b) 2.817E-07 s
-c) 3.099E-07 s
-d) 3.409E-07 s
-e) 3.750E-07 s

4) A 62 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.351 T. What current is required to maintain this balance?

-a) 3.999E-01 A
-b) 4.398E-01 A
-c) 4.838E-01 A
-d) 5.322E-01 A
+e) 5.854E-01 A

5) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

6) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

+a) 1.113E-07 N m
-b) 1.224E-07 N m
-c) 1.347E-07 N m
-d) 1.481E-07 N m
-e) 1.629E-07 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s
8)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

-a) 6.534E+00 MeV
-b) 7.187E+00 MeV
-c) 7.906E+00 MeV
+d) 8.697E+00 MeV
-e) 9.566E+00 MeV

#### Key: W1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 8.16 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.13 i + 3.24 j  + 6.96 k) x 104 m/s?

-a) 7.691E-14 N
+b) 8.460E-14 N
-c) 9.306E-14 N
-d) 1.024E-13 N
-e) 1.126E-13 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

-a) 4.914E-01 MeV
-b) 5.406E-01 MeV
-c) 5.946E-01 MeV
+d) 6.541E-01 MeV
-e) 7.195E-01 MeV

3) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

-a) 3.648E+00 N/m
-b) 4.012E+00 N/m
-c) 4.414E+00 N/m
-d) 4.855E+00 N/m
+e) 5.341E+00 N/m

4) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

-a) 1.903E-07 N m
-b) 2.093E-07 N m
+c) 2.302E-07 N m
-d) 2.532E-07 N m
-e) 2.785E-07 N m
5)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

6) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

7) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0837 T . It emerges after being deflected by 41° from its original direction. How much time did it spend in that magnetic field?

-a) 1.212E-07 s
-b) 1.333E-07 s
-c) 1.466E-07 s
-d) 1.613E-07 s
+e) 1.774E-07 s

8) A charged particle in a magnetic field of 3.330E-04 T is moving perpendicular to the magnetic field with a speed of 4.800E+05 m/s. What is the period of orbit if orbital radius is 0.402 m?

-a) 4.784E-06 s
+b) 5.262E-06 s
-c) 5.788E-06 s
-d) 6.367E-06 s
-e) 7.004E-06 s

9) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 9.223E+05 m/s
+b) 1.015E+06 m/s
-c) 1.116E+06 m/s
-d) 1.228E+06 m/s
-e) 1.350E+06 m/s

#### Key: W2

1) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

-a) 1.386E-13 N
+b) 1.524E-13 N
-c) 1.676E-13 N
-d) 1.844E-13 N
-e) 2.029E-13 N

3) A 25 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.702 T. What current is required to maintain this balance?

-a) 5.076E-01 A
+b) 5.584E-01 A
-c) 6.142E-01 A
-d) 6.757E-01 A
-e) 7.432E-01 A

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 4.982E+05 m/s
-b) 5.480E+05 m/s
-c) 6.028E+05 m/s
+d) 6.631E+05 m/s
-e) 7.294E+05 m/s
6)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

7) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

8) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

+a) 2.847E+00 N/m
-b) 3.132E+00 N/m
-c) 3.445E+00 N/m
-d) 3.789E+00 N/m
-e) 4.168E+00 N/m

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

-a) 2.819E-07 s
-b) 3.101E-07 s
+c) 3.411E-07 s
-d) 3.752E-07 s
-e) 4.128E-07 s

### Key: X0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 104 m/s?

-a) 5.296E-14 N
-b) 5.826E-14 N
+c) 6.408E-14 N
-d) 7.049E-14 N
-e) 7.754E-14 N

2) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

-a) 4.963E-01 A
-b) 5.459E-01 A
+c) 6.005E-01 A
-d) 6.605E-01 A
-e) 7.266E-01 A

5) A long rigid wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.559 T magnetic field is directed 46° away from the wire?

-a) 2.417E+00 N/m
-b) 2.659E+00 N/m
-c) 2.924E+00 N/m
+d) 3.217E+00 N/m
-e) 3.539E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

+a) 5.805E-08 N m
-b) 6.386E-08 N m
-c) 7.024E-08 N m
-d) 7.727E-08 N m
-e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 2.62 mT and 2.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 8.092E+05 m/s
-b) 8.901E+05 m/s
-c) 9.791E+05 m/s
-d) 1.077E+06 m/s
-e) 1.185E+06 m/s
8)
The silver ribbon shown are a=3.47 cm, b=2.98 cm, and c= 0.681 cm. The current carries a current of 289 A and it lies in a uniform magnetic field of 3.37 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.375E-05 V
+b) 1.513E-05 V
-c) 1.664E-05 V
-d) 1.831E-05 V
-e) 2.014E-05 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.413 m and a magneticfield of 0.988 T. What is their maximum kinetic energy?

-a) 6.029E+00 MeV
-b) 6.631E+00 MeV
-c) 7.295E+00 MeV
+d) 8.024E+00 MeV
-e) 8.827E+00 MeV

#### Key: X1

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

2) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

-a) 8.520E-01 N/m
-b) 9.372E-01 N/m
-c) 1.031E+00 N/m
+d) 1.134E+00 N/m
-e) 1.247E+00 N/m

3) A 34 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.348 T. What current is required to maintain this balance?

+a) 6.626E-01 A
-b) 7.289E-01 A
-c) 8.018E-01 A
-d) 8.819E-01 A
-e) 9.701E-01 A

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 1.504E+06 m/s
-b) 1.655E+06 m/s
-c) 1.820E+06 m/s
-d) 2.002E+06 m/s
-e) 2.202E+06 m/s
5)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.795E-06 V
-b) 7.475E-06 V
-c) 8.222E-06 V
+d) 9.045E-06 V
-e) 9.949E-06 V

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-06 s

7) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

8) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV

9) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

#### Key: X2

1) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0631 T . It emerges after being deflected by 44° from its original direction. How much time did it spend in that magnetic field?

-a) 1.897E-07 s
-b) 2.087E-07 s
-c) 2.296E-07 s
+d) 2.525E-07 s
-e) 2.778E-07 s

3) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

4) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

5) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

-a) 4.914E-01 MeV
-b) 5.406E-01 MeV
-c) 5.946E-01 MeV
+d) 6.541E-01 MeV
-e) 7.195E-01 MeV

6) A 24 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 10 g, and the magnitude of the magnetic field is 0.706 T. What current is required to maintain this balance?

-a) 5.258E-01 A
+b) 5.784E-01 A
-c) 6.362E-01 A
-d) 6.998E-01 A
-e) 7.698E-01 A

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.13 mT and 2.810E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 6.804E+05 m/s
-b) 7.484E+05 m/s
-c) 8.233E+05 m/s
-d) 9.056E+05 m/s
-e) 9.962E+05 m/s
8)
The silver ribbon shown are a=3.89 cm, b=2.94 cm, and c= 0.58 cm. The current carries a current of 242 A and it lies in a uniform magnetic field of 2.47 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 9.911E-06 V
+b) 1.090E-05 V
-c) 1.199E-05 V
-d) 1.319E-05 V
-e) 1.451E-05 V

9) A long rigid wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.222 T magnetic field is directed 23° away from the wire?

+a) 5.205E-01 N/m
-b) 5.725E-01 N/m
-c) 6.297E-01 N/m
-d) 6.927E-01 N/m
-e) 7.620E-01 N/m

### Key: Y0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.75 i + 9.06 j  + 3.5 k) x 104 m/s?

-a) 2.899E-14 N
-b) 3.189E-14 N
+c) 3.508E-14 N
-d) 3.859E-14 N
-e) 4.245E-14 N

2) A charged particle in a magnetic field of 3.350E-04 T is moving perpendicular to the magnetic field with a speed of 4.350E+05 m/s. What is the period of orbit if orbital radius is 0.841 m?

-a) 1.004E-05 s
-b) 1.104E-05 s
+c) 1.215E-05 s
-d) 1.336E-05 s
-e) 1.470E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

+a) 9.857E-07 s
-b) 1.084E-06 s
-c) 1.193E-06 s
-d) 1.312E-06 s
-e) 1.443E-06 s

4) A 11 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.809 T. What current is required to maintain this balance?

+a) 1.432E+00 A
-b) 1.575E+00 A
-c) 1.732E+00 A
-d) 1.905E+00 A
-e) 2.096E+00 A

5) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.783 T magnetic field is directed 77° away from the wire?

-a) 3.648E+00 N/m
-b) 4.012E+00 N/m
-c) 4.414E+00 N/m
-d) 4.855E+00 N/m
+e) 5.341E+00 N/m

6) A circular current loop of radius 1.29 cm carries a current of 1.75 mA. What is the magnitude of the torque if the dipole is oriented at 24 ° to a uniform magnetic fied of 0.156 T?

+a) 5.805E-08 N m
-b) 6.386E-08 N m
-c) 7.024E-08 N m
-d) 7.727E-08 N m
-e) 8.499E-08 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s
8)
The silver ribbon shown are a=3.52 cm, b=2.88 cm, and c= 0.515 cm. The current carries a current of 137 A and it lies in a uniform magnetic field of 2.02 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 5.685E-06 V
-b) 6.253E-06 V
-c) 6.878E-06 V
-d) 7.566E-06 V
-e) 8.323E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.376 m and a magneticfield of 0.786 T. What is their maximum kinetic energy?

-a) 2.875E+00 MeV
-b) 3.162E+00 MeV
-c) 3.479E+00 MeV
-d) 3.827E+00 MeV
+e) 4.209E+00 MeV

#### Key: Y1

1) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

-a) 2.697E+00 N/m
-b) 2.967E+00 N/m
+c) 3.263E+00 N/m
-d) 3.590E+00 N/m
-e) 3.948E+00 N/m

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

4) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

-a) 2.259E-01 A
-b) 2.485E-01 A
+c) 2.734E-01 A
-d) 3.007E-01 A
-e) 3.308E-01 A

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s

6) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0618 T . It emerges after being deflected by 67° from its original direction. How much time did it spend in that magnetic field?

-a) 3.245E-07 s
-b) 3.569E-07 s
+c) 3.926E-07 s
-d) 4.319E-07 s
-e) 4.751E-07 s

7) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

8) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

-a) 6.257E-07 N m
-b) 6.882E-07 N m
-c) 7.570E-07 N m
+d) 8.327E-07 N m
-e) 9.160E-07 N m

9) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

#### Key: Y2

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.81 i + 2.05 j  + 4.49 k) x 104 m/s?

-a) 2.576E-14 N
-b) 2.834E-14 N
-c) 3.117E-14 N
-d) 3.429E-14 N
+e) 3.772E-14 N

2) A 97 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 7 g, and the magnitude of the magnetic field is 0.753 T. What current is required to maintain this balance?

-a) 7.056E-02 A
-b) 7.762E-02 A
-c) 8.538E-02 A
+d) 9.392E-02 A
-e) 1.033E-01 A

3) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV
4)
The silver ribbon shown are a=4.81 cm, b=3.96 cm, and c= 1.3 cm. The current carries a current of 274 A and it lies in a uniform magnetic field of 3.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
+a) 7.202E-06 V
-b) 7.922E-06 V
-c) 8.714E-06 V
-d) 9.586E-06 V
-e) 1.054E-05 V

5) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 2.768E+05 m/s
-b) 3.045E+05 m/s
-c) 3.349E+05 m/s
-d) 3.684E+05 m/s
+e) 4.052E+05 m/s

6) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.355 T magnetic field is directed 53° away from the wire?

-a) 8.520E-01 N/m
-b) 9.372E-01 N/m
-c) 1.031E+00 N/m
+d) 1.134E+00 N/m
-e) 1.247E+00 N/m

7) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

8) A charged particle in a magnetic field of 2.740E-04 T is moving perpendicular to the magnetic field with a speed of 1.390E+05 m/s. What is the period of orbit if orbital radius is 0.776 m?

-a) 2.899E-05 s
-b) 3.189E-05 s
+c) 3.508E-05 s
-d) 3.859E-05 s
-e) 4.244E-05 s

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0454 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 4.878E-07 s
-b) 5.366E-07 s
+c) 5.903E-07 s
-d) 6.493E-07 s
-e) 7.143E-07 s

### Key: Z0

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.6 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.92 i + 1.55 j  + 6.22 k) x 104 m/s?

-a) 2.074E-14 N
+b) 2.282E-14 N
-c) 2.510E-14 N
-d) 2.761E-14 N
-e) 3.037E-14 N

2) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

+a) 1.141E-05 s
-b) 1.255E-05 s
-c) 1.381E-05 s
-d) 1.519E-05 s
-e) 1.671E-05 s

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0775 T . It emerges after being deflected by 73° from its original direction. How much time did it spend in that magnetic field?

-a) 2.819E-07 s
-b) 3.101E-07 s
+c) 3.411E-07 s
-d) 3.752E-07 s
-e) 4.128E-07 s

4) A 17 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.768 T. What current is required to maintain this balance?

-a) 4.963E-01 A
-b) 5.459E-01 A
+c) 6.005E-01 A
-d) 6.605E-01 A
-e) 7.266E-01 A

5) A long rigid wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.61 T magnetic field is directed 33° away from the wire?

-a) 1.510E+00 N/m
+b) 1.661E+00 N/m
-c) 1.827E+00 N/m
-d) 2.010E+00 N/m
-e) 2.211E+00 N/m

6) A circular current loop of radius 2.84 cm carries a current of 3.01 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.174 T?

-a) 1.075E-06 N m
+b) 1.182E-06 N m
-c) 1.301E-06 N m
-d) 1.431E-06 N m
-e) 1.574E-06 N m

7) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 5.072E+05 m/s
-b) 5.579E+05 m/s
+c) 6.137E+05 m/s
-d) 6.751E+05 m/s
-e) 7.426E+05 m/s
8)
The silver ribbon shown are a=4.23 cm, b=3.7 cm, and c= 0.721 cm. The current carries a current of 144 A and it lies in a uniform magnetic field of 1.21 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.746E-06 V
-b) 1.921E-06 V
-c) 2.113E-06 V
-d) 2.324E-06 V
+e) 2.557E-06 V

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.145 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

-a) 7.342E-01 MeV
-b) 8.076E-01 MeV
-c) 8.884E-01 MeV
-d) 9.772E-01 MeV
+e) 1.075E+00 MeV

#### Key: Z1

1) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m
2)
The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 6.795E-06 V
-b) 7.475E-06 V
-c) 8.222E-06 V
+d) 9.045E-06 V
-e) 9.949E-06 V

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.62 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.7 i + 2.31 j  + 7.08 k) x 104 m/s?

-a) 1.828E-14 N
-b) 2.010E-14 N
-c) 2.211E-14 N
-d) 2.433E-14 N
+e) 2.676E-14 N

4) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

5) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

-a) 8.713E-06 s
-b) 9.584E-06 s
-c) 1.054E-05 s
+d) 1.160E-05 s
-e) 1.276E-05 s

6) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 5.49 mT and 5.570E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

-a) 9.223E+05 m/s
+b) 1.015E+06 m/s
-c) 1.116E+06 m/s
-d) 1.228E+06 m/s
-e) 1.350E+06 m/s

7) A 11 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.809 T. What current is required to maintain this balance?

+a) 1.432E+00 A
-b) 1.575E+00 A
-c) 1.732E+00 A
-d) 1.905E+00 A
-e) 2.096E+00 A

8) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0263 T . It emerges after being deflected by 65° from its original direction. How much time did it spend in that magnetic field?

-a) 8.137E-07 s
+b) 8.951E-07 s
-c) 9.846E-07 s
-d) 1.083E-06 s
-e) 1.191E-06 s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

-a) 2.574E-01 MeV
-b) 2.831E-01 MeV
+c) 3.114E-01 MeV
-d) 3.425E-01 MeV
-e) 3.768E-01 MeV

#### Key: Z2

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

-a) 4.914E-01 MeV
-b) 5.406E-01 MeV
-c) 5.946E-01 MeV
+d) 6.541E-01 MeV
-e) 7.195E-01 MeV

2) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

+a) 4.950E-01 N/m
-b) 5.445E-01 N/m
-c) 5.990E-01 N/m
-d) 6.589E-01 N/m
-e) 7.248E-01 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

4) An electron beam (m=9.1 x 10−31kg, q=1.6 x 10−19C) enters a crossed-field velocity selector with magnetic and electric fields of 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

+a) 2.746E+06 m/s
-b) 3.021E+06 m/s
-c) 3.323E+06 m/s
-d) 3.655E+06 m/s
-e) 4.020E+06 m/s

5) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

-a) 2.259E-01 A
-b) 2.485E-01 A
+c) 2.734E-01 A
-d) 3.007E-01 A
-e) 3.308E-01 A
6)
The silver ribbon shown are a=3.32 cm, b=2.81 cm, and c= 0.996 cm. The current carries a current of 121 A and it lies in a uniform magnetic field of 1.23 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.
-a) 1.080E-06 V
-b) 1.188E-06 V
-c) 1.306E-06 V
-d) 1.437E-06 V
+e) 1.581E-06 V

7) A circular current loop of radius 3.0 cm carries a current of 1.58 mA. What is the magnitude of the torque if the dipole is oriented at 63 ° to a uniform magnetic fied of 0.408 T?

-a) 1.476E-06 N m
+b) 1.624E-06 N m
-c) 1.786E-06 N m
-d) 1.965E-06 N m
-e) 2.162E-06 N m

8) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

9) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

-a) 1.627E-06 s
+b) 1.790E-06 s
-c) 1.969E-06 s
-d) 2.166E-06 s
-e) 2.382E-06 s