# Quizbank/University Physics Semester 2/T9

University Physics Semester 2/T9 ID153341821922

For more information visit **Quizbank/University Physics Semester 2**

**Exams: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**Answers: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**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.

**Links:** Quizbank/Instructions Study guide file:QB-University Physics Semester 2-T9.pdf

*Contact me at* User talk:Guy vandegrift *if you need any help.*

### T9 A0[edit]

1) 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

- 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

3) Two loops of wire carry the same current of 66 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.485 m while the other has a radius of 1.27 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.507 m from the first (smaller) loopif the disance between the loops is 1.76 m?

- a) 2.733E-02 T
- b) 3.007E-02 T
- c) 3.307E-02 T
- d) 3.638E-02 T
- e) 4.002E-02 T

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 19 turns per centimeter and the current applied to the solenoid is 421 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

- a) 1.302E+03
- b) 1.432E+03
- c) 1.576E+03
- d) 1.733E+03
- e) 1.907E+03

5) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.29 T and 4.720E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.658 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 6.420E+04 V
- b) 7.062E+04 V
- c) 7.768E+04 V
- d) 8.545E+04 V
- e) 9.400E+04 V

- a) 1.463E-02 V
- b) 1.609E-02 V
- c) 1.770E-02 V
- d) 1.947E-02 V
- e) 2.142E-02 V

7) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.82 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.20E-03H , and C=6.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.259E-01 A
- b) 2.485E-01 A
- c) 2.733E-01 A
- d) 3.007E-01 A
- e) 3.307E-01 A

^{2}and separation d=8.70E-03 m is connected via a swith to a 23 Ω resistor and a battery of voltage V

_{0}=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=7.20E-04?

- a) 2.877E+00 V
- b) 3.165E+00 V
- c) 3.481E+00 V
- d) 3.829E+00 V
- e) 4.212E+00 V

9) What is the radiation pressure on an object that is 1.10E+11 m away from the sun and has cross-sectional area of 0.048 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.253E-05 N/m
^{2} - b) 1.378E-05 N/m
^{2} - c) 1.516E-05 N/m
^{2} - d) 1.667E-05 N/m
^{2} - e) 1.834E-05 N/m
^{2}

10) A circlular capactitor of radius 4.3 m has a gap of 19 mm, and a charge of 83 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.87E-11 Vs
^{2}m^{-1} - b) 7.11E-11 Vs
^{2}m^{-1} - c) 8.61E-11 Vs
^{2}m^{-1} - d) 1.04E-10 Vs
^{2}m^{-1} - e) 1.26E-10 Vs
^{2}m^{-1}

11) A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 11 μC. What is the electric field between the plates?

- a) 2.80E+04 N/C (or V/m)
- b) 3.40E+04 N/C (or V/m)
- c) 4.12E+04 N/C (or V/m)
- d) 4.99E+04 N/C (or V/m)
- e) 6.04E+04 N/C (or V/m)

#### T9 A1[edit]

1) What is the radiation pressure on an object that is 1.10E+11 m away from the sun and has cross-sectional area of 0.048 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.253E-05 N/m
^{2} - b) 1.378E-05 N/m
^{2} - c) 1.516E-05 N/m
^{2} - d) 1.667E-05 N/m
^{2} - e) 1.834E-05 N/m
^{2}

2) 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

3) Two loops of wire carry the same current of 24 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.53 m while the other has a radius of 1.38 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.485 m from the first (smaller) loopif the disance between the loops is 1.78 m?

- a) 1.294E-02 T
- b) 1.424E-02 T
- c) 1.566E-02 T
- d) 1.723E-02 T
- e) 1.895E-02 T

- 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 long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?

- a) 1.188E+03
- b) 1.307E+03
- c) 1.438E+03
- d) 1.582E+03
- e) 1.740E+03

6) A circlular capactitor of radius 4.4 m has a gap of 8 mm, and a charge of 85 μC. Compute the surface integral over an inner face of the capacitor.

- a) 4.96E-11 Vs
^{2}m^{-1} - b) 6.01E-11 Vs
^{2}m^{-1} - c) 7.28E-11 Vs
^{2}m^{-1} - d) 8.82E-11 Vs
^{2}m^{-1} - e) 1.07E-10 Vs
^{2}m^{-1}

7) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- a) 8.384E-02 A
- b) 9.222E-02 A
- c) 1.014E-01 A
- d) 1.116E-01 A
- e) 1.227E-01 A

8) A circlular capactitor of radius 3.2 m has a gap of 12 mm, and a charge of 84 μC. What is the electric field between the plates?

- a) 1.37E+05 N/C (or V/m)
- b) 1.66E+05 N/C (or V/m)
- c) 2.01E+05 N/C (or V/m)
- d) 2.43E+05 N/C (or V/m)
- e) 2.95E+05 N/C (or V/m)

9) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.7 T and 8.100E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.827 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 1.416E+05 V
- b) 1.557E+05 V
- c) 1.713E+05 V
- d) 1.884E+05 V
- e) 2.073E+05 V

- a) 1.894E-02 V
- b) 2.083E-02 V
- c) 2.291E-02 V
- d) 2.520E-02 V
- e) 2.772E-02 V

^{2}and separation d=3.40E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?

- a) 7.693E+01 V
- b) 8.463E+01 V
- c) 9.309E+01 V
- d) 1.024E+02 V
- e) 1.126E+02 V

#### T9 A2[edit]

1) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.016 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 6.669E-07 N/m
^{2} - b) 7.336E-07 N/m
^{2} - c) 8.069E-07 N/m
^{2} - d) 8.876E-07 N/m
^{2} - e) 9.764E-07 N/m
^{2}

2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 19 turns per centimeter and the current applied to the solenoid is 421 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

- a) 1.302E+03
- b) 1.432E+03
- c) 1.576E+03
- d) 1.733E+03
- e) 1.907E+03

^{2}and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?

- a) 5.131E+01 V
- b) 5.644E+01 V
- c) 6.209E+01 V
- d) 6.830E+01 V
- e) 7.513E+01 V

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 RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- a) 1.364E-01 A
- b) 1.500E-01 A
- c) 1.650E-01 A
- d) 1.815E-01 A
- e) 1.997E-01 A

6) Two loops of wire carry the same current of 39 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.49 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.552 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 1.564E-02 T
- b) 1.720E-02 T
- c) 1.892E-02 T
- d) 2.081E-02 T
- e) 2.289E-02 T

- 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

8) A circlular capactitor of radius 4.8 m has a gap of 12 mm, and a charge of 29 μC. Compute the surface integral over an inner face of the capacitor.

- a) 2.05E-11 Vs
^{2}m^{-1} - b) 2.48E-11 Vs
^{2}m^{-1} - c) 3.01E-11 Vs
^{2}m^{-1} - d) 3.64E-11 Vs
^{2}m^{-1} - e) 4.42E-11 Vs
^{2}m^{-1}

- a) 1.894E-02 V
- b) 2.083E-02 V
- c) 2.291E-02 V
- d) 2.520E-02 V
- e) 2.772E-02 V

10) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.7 T and 8.100E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.827 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 1.416E+05 V
- b) 1.557E+05 V
- c) 1.713E+05 V
- d) 1.884E+05 V
- e) 2.073E+05 V

11) A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 11 μC. What is the electric field between the plates?

- a) 2.80E+04 N/C (or V/m)
- b) 3.40E+04 N/C (or V/m)
- c) 4.12E+04 N/C (or V/m)
- d) 4.99E+04 N/C (or V/m)
- e) 6.04E+04 N/C (or V/m)

### T9 B0[edit]

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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

2) 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

3) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?

- a) 1.127E-02 T
- b) 1.240E-02 T
- c) 1.364E-02 T
- d) 1.500E-02 T
- e) 1.650E-02 T

4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.488E-05 T
- b) 1.637E-05 T
- c) 1.800E-05 T
- d) 1.981E-05 T
- e) 2.179E-05 T

5) A long solenoid has a radius of 0.786 m and 60 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 1.98 m from the axis at time t=0.049 s ?

- a) 1.605E-04 V/m
- b) 1.766E-04 V/m
- c) 1.942E-04 V/m
- d) 2.136E-04 V/m
- e) 2.350E-04 V/m

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.23% of its maximum value if ε = 3.13 V , R = 3.59 Ω, and L = 3.38 H?

- a) -1.345E+00 s
- b) -1.480E+00 s
- c) -1.628E+00 s
- d) -1.790E+00 s
- e) -1.969E+00 s

7) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

8) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.673E-07 N
- b) 2.940E-07 N
- c) 3.234E-07 N
- d) 3.558E-07 N
- e) 3.913E-07 N

^{2}and separation d=4.60E-03 m is connected via a swith to a 96 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=3.30E-04?

- a) 7.315E-02 A
- b) 8.047E-02 A
- c) 8.851E-02 A
- d) 9.737E-02 A
- e) 1.071E-01 A

10) A circlular capactitor of radius 4.4 m has a gap of 12 mm, and a charge of 72 μC. What is the electric field between the plates?

- a) 6.21E+04 N/C (or V/m)
- b) 7.52E+04 N/C (or V/m)
- c) 9.11E+04 N/C (or V/m)
- d) 1.10E+05 N/C (or V/m)
- e) 1.34E+05 N/C (or V/m)

11) A circlular capactitor of radius 4.9 m has a gap of 13 mm, and a charge of 35 μC. The capacitor is discharged through a 5 kΩ resistor. What is the decay time?

- a) 2.57E-04 s
- b) 3.11E-04 s
- c) 3.77E-04 s
- d) 4.57E-04 s
- e) 5.53E-04 s

#### T9 B1[edit]

^{2}and separation d=8.60E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V

_{0}=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?

- a) 8.288E-02 A
- b) 9.117E-02 A
- c) 1.003E-01 A
- d) 1.103E-01 A
- e) 1.213E-01 A

2) What is the radiation force on an object that is 1.70E+11 m away from the sun and has cross-sectional area of 0.033 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.904E-07 N
- b) 2.094E-07 N
- c) 2.303E-07 N
- d) 2.534E-07 N
- e) 2.787E-07 N

3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.098E-05 T
- b) 1.208E-05 T
- c) 1.329E-05 T
- d) 1.462E-05 T
- e) 1.608E-05 T

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.54% of its maximum value if ε = 2.46 V , R = 2.8 Ω, and L = 5.67 H?

- a) -2.540E+00 s
- b) -2.794E+00 s
- c) -3.073E+00 s
- d) -3.381E+00 s
- e) -3.719E+00 s

5) Two loops of wire carry the same current of 97 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.595 m while the other has a radius of 1.1 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.63 m from the first (smaller) loopif the disance between the loops is 1.72 m?

- a) 5.302E-02 T
- b) 5.832E-02 T
- c) 6.415E-02 T
- d) 7.056E-02 T
- e) 7.762E-02 T

6) A circlular capactitor of radius 3.4 m has a gap of 15 mm, and a charge of 63 μC. What is the electric field between the plates?

- a) 1.62E+05 N/C (or V/m)
- b) 1.96E+05 N/C (or V/m)
- c) 2.37E+05 N/C (or V/m)
- d) 2.88E+05 N/C (or V/m)
- e) 3.48E+05 N/C (or V/m)

7) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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) A circlular capactitor of radius 3.4 m has a gap of 8 mm, and a charge of 64 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 3.62E-04 s
- b) 4.38E-04 s
- c) 5.31E-04 s
- d) 6.43E-04 s
- e) 7.79E-04 s

9) 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

10) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.31 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.00E-03H , and C=5.10E-04 F, respectively. What is the amplitude of the current?

- a) 4.235E-02 A
- b) 4.658E-02 A
- c) 5.124E-02 A
- d) 5.636E-02 A
- e) 6.200E-02 A

11) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?

- a) 6.040E-05 V/m
- b) 6.644E-05 V/m
- c) 7.309E-05 V/m
- d) 8.039E-05 V/m
- e) 8.843E-05 V/m

#### T9 B2[edit]

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) Two loops of wire carry the same current of 21 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.753 m while the other has a radius of 1.47 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.406 m from the first (smaller) loopif the disance between the loops is 1.38 m?

- a) 1.559E-02 T
- b) 1.715E-02 T
- c) 1.886E-02 T
- d) 2.075E-02 T
- e) 2.283E-02 T

3) A long solenoid has a radius of 0.624 m and 84 turns per meter; its current decreases with time according to , where 6 A and 20 s^{−1}.What is the induced electric fied at a distance 1.78 m from the axis at time t=0.0579 s ?

- a) 3.597E-04 V/m
- b) 3.956E-04 V/m
- c) 4.352E-04 V/m
- d) 4.787E-04 V/m
- e) 5.266E-04 V/m

4) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 71 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.65E-04 s
- b) 2.00E-04 s
- c) 2.43E-04 s
- d) 2.94E-04 s
- e) 3.56E-04 s

5) What is the radiation force on an object that is 4.70E+11 m away from the sun and has cross-sectional area of 0.098 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 7.396E-08 N
- b) 8.136E-08 N
- c) 8.950E-08 N
- d) 9.845E-08 N
- e) 1.083E-07 N

6) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.43 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.944E-05 T
- b) 2.138E-05 T
- c) 2.352E-05 T
- d) 2.587E-05 T
- e) 2.846E-05 T

7) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 24 μC. What is the electric field between the plates?

- a) 4.24E+04 N/C (or V/m)
- b) 5.13E+04 N/C (or V/m)
- c) 6.22E+04 N/C (or V/m)
- d) 7.53E+04 N/C (or V/m)
- e) 9.13E+04 N/C (or V/m)

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.44% of its maximum value if ε = 5.95 V , R = 7.26 Ω, and L = 1.29 H?

- a) -3.114E-01 s
- b) -3.425E-01 s
- c) -3.767E-01 s
- d) -4.144E-01 s
- e) -4.559E-01 s

9) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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

10) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.439E-02 A
- b) 2.683E-02 A
- c) 2.952E-02 A
- d) 3.247E-02 A
- e) 3.571E-02 A

^{2}and separation d=8.60E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V

_{0}=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?

- a) 8.288E-02 A
- b) 9.117E-02 A
- c) 1.003E-01 A
- d) 1.103E-01 A
- e) 1.213E-01 A

### T9 C0[edit]

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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

2) 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

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 19 turns per centimeter and the current applied to the solenoid is 421 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

- a) 1.302E+03
- b) 1.432E+03
- c) 1.576E+03
- d) 1.733E+03
- e) 1.907E+03

4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.549 m and 0.599 T, then how much current (in the z-direction) flows through a circle of radius 0.29 m that is centered on the axis with its plane perpendicular to the axis?

- a) 5.581E+05 A
- b) 6.139E+05 A
- c) 6.752E+05 A
- d) 7.428E+05 A
- e) 8.170E+05 A

5) A long solenoid has a radius of 0.591 m and 41 turns per meter; its current decreases with time according to , where 1 A and 30 s^{−1}.What is the induced electric fied at a distance 0.234 m from the axis at time t=0.0208 s ?

- a) 6.618E-05 V/m
- b) 7.280E-05 V/m
- c) 8.008E-05 V/m
- d) 8.809E-05 V/m
- e) 9.689E-05 V/m

6) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.230E-04 s
- b) 6.853E-04 s
- c) 7.538E-04 s
- d) 8.292E-04 s
- e) 9.121E-04 s

7) A step-down transformer steps 19 kV down to 220 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 220 V side ?)

- a) 3.244E+02 A
- b) 3.569E+02 A
- c) 3.926E+02 A
- d) 4.318E+02 A
- e) 4.750E+02 A

^{2}and separation d=7.40E-03 m is connected via a swith to a 18 Ω resistor and a battery of voltage V

_{0}=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

- a) 6.259E-02 A
- b) 6.885E-02 A
- c) 7.573E-02 A
- d) 8.331E-02 A
- e) 9.164E-02 A

^{2}and separation d=6.30E-03 m is connected via a swith to a 5 Ω resistor and a battery of voltage V

_{0}=58 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.10E-04?

- a) 4.548E+01 V
- b) 5.003E+01 V
- c) 5.503E+01 V
- d) 6.054E+01 V
- e) 6.659E+01 V

10) A circlular capactitor of radius 4.9 m has a gap of 13 mm, and a charge of 35 μC. The capacitor is discharged through a 5 kΩ resistor. What is the decay time?

- a) 2.57E-04 s
- b) 3.11E-04 s
- c) 3.77E-04 s
- d) 4.57E-04 s
- e) 5.53E-04 s

11) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.95E-09 Tesla
- b) 4.97E-09 Tesla
- c) 6.26E-09 Tesla
- d) 7.88E-09 Tesla
- e) 9.92E-09 Tesla

#### T9 C1[edit]

1) A circlular capactitor of radius 3.2 m has a gap of 8 mm, and a charge of 12 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 2.49E-04 s
- b) 3.02E-04 s
- c) 3.66E-04 s
- d) 4.43E-04 s
- e) 5.37E-04 s

^{2}and separation d=4.60E-03 m is connected via a swith to a 96 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=3.30E-04?

- a) 7.315E-02 A
- b) 8.047E-02 A
- c) 8.851E-02 A
- d) 9.737E-02 A
- e) 1.071E-01 A

^{2}and separation d=3.40E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?

- a) 7.693E+01 V
- b) 8.463E+01 V
- c) 9.309E+01 V
- d) 1.024E+02 V
- e) 1.126E+02 V

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 568 mA, the net magnetic field is measured to be 1.29 T. What is the magnetic susceptibility for this case?

- a) 8.205E+02
- b) 9.026E+02
- c) 9.928E+02
- d) 1.092E+03
- e) 1.201E+03

5) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 5.294E+02 A
- b) 5.824E+02 A
- c) 6.406E+02 A
- d) 7.046E+02 A
- e) 7.751E+02 A

6) A long solenoid has a radius of 0.857 m and 58 turns per meter; its current decreases with time according to , where 1 A and 21 s^{−1}.What is the induced electric fied at a distance 0.144 m from the axis at time t=0.0898 s ?

- a) 1.256E-05 V/m
- b) 1.382E-05 V/m
- c) 1.520E-05 V/m
- d) 1.672E-05 V/m
- e) 1.839E-05 V/m

7) A circlular capactitor of radius 4.9 m has a gap of 18 mm, and a charge of 45 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 2.82E-09 Tesla
- b) 3.54E-09 Tesla
- c) 4.46E-09 Tesla
- d) 5.62E-09 Tesla
- e) 7.07E-09 Tesla

8) 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

9) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.571 m and 0.331 T, then how much current (in the z-direction) flows through a circle of radius 0.321 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.226E+05 A
- b) 3.549E+05 A
- c) 3.904E+05 A
- d) 4.294E+05 A
- e) 4.724E+05 A

10) In an LC circuit, the self-inductance is 0.0735 H and the capacitance is 2.300E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.220E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 4.411E-04 s
- b) 4.852E-04 s
- c) 5.338E-04 s
- d) 5.871E-04 s
- e) 6.458E-04 s

11) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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

#### T9 C2[edit]

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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

2) A step-down transformer steps 9 kV down to 210 V. The high-voltage input is provided by a 170 Ω power line that carries 5 A of currentWhat is the output current (at the 210 V side ?)

- a) 1.948E+02 A
- b) 2.143E+02 A
- c) 2.357E+02 A
- d) 2.593E+02 A
- e) 2.852E+02 A

3) A long solenoid has a radius of 0.596 m and 19 turns per meter; its current decreases with time according to , where 5 A and 29 s^{−1}.What is the induced electric fied at a distance 0.209 m from the axis at time t=0.0604 s ?

- a) 6.277E-05 V/m
- b) 6.904E-05 V/m
- c) 7.595E-05 V/m
- d) 8.354E-05 V/m
- e) 9.190E-05 V/m

4) 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

5) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.230E-04 s
- b) 6.853E-04 s
- c) 7.538E-04 s
- d) 8.292E-04 s
- e) 9.121E-04 s

6) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.248 m and 0.459 T, then how much current (in the z-direction) flows through a circle of radius 0.152 m that is centered on the axis with its plane perpendicular to the axis?

- a) 2.228E+05 A
- b) 2.451E+05 A
- c) 2.696E+05 A
- d) 2.966E+05 A
- e) 3.262E+05 A

^{2}and separation d=3.20E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.40E-04?

- a) 5.017E+01 V
- b) 5.519E+01 V
- c) 6.071E+01 V
- d) 6.678E+01 V
- e) 7.345E+01 V

8) A circlular capactitor of radius 3.6 m has a gap of 19 mm, and a charge of 98 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 1.90E-08 Tesla
- b) 2.40E-08 Tesla
- c) 3.02E-08 Tesla
- d) 3.80E-08 Tesla
- e) 4.78E-08 Tesla

^{2}and separation d=7.00E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=78 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.90E-03?

- a) 6.624E-02 A
- b) 7.287E-02 A
- c) 8.016E-02 A
- d) 8.817E-02 A
- e) 9.699E-02 A

10) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?

- a) 1.188E+03
- b) 1.307E+03
- c) 1.438E+03
- d) 1.582E+03
- e) 1.740E+03

11) A circlular capactitor of radius 4.9 m has a gap of 13 mm, and a charge of 35 μC. The capacitor is discharged through a 5 kΩ resistor. What is the decay time?

- a) 2.57E-04 s
- b) 3.11E-04 s
- c) 3.77E-04 s
- d) 4.57E-04 s
- e) 5.53E-04 s

### T9 D0[edit]

1) 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

2) 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

3) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.76 cm to z=+1.99 cm

- a) 2.762E-04 T-m
- b) 3.038E-04 T-m
- c) 3.342E-04 T-m
- d) 3.676E-04 T-m
- e) 4.043E-04 T-m

_{1}, I

_{2}, I

_{2}) are (2.18 A, 1.82 A, 1.35 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 7.035E-05 T - b) B
_{y}= 7.739E-05 T - c) B
_{y}= 8.512E-05 T - d) B
_{y}= 9.364E-05 T - e) B
_{y}= 1.030E-04 T

5) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?

- a) 6.040E-05 V/m
- b) 6.644E-05 V/m
- c) 7.309E-05 V/m
- d) 8.039E-05 V/m
- e) 8.843E-05 V/m

6) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?

- a) 1.560E-01 H
- b) 1.716E-01 H
- c) 1.888E-01 H
- d) 2.076E-01 H
- e) 2.284E-01 H

7) The output of an ac generator connected to an RLC series combination has a frequency of 480 Hz and an amplitude of 0.63 V;. If R =7 Ω, L= 3.80E-03H , and C=5.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.972E-01 &rad;
- b) 1.097E+00 &rad;
- c) 1.207E+00 &rad;
- d) 1.327E+00 &rad;
- e) 1.460E+00 &rad;

8) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 8.969E-08 N
- b) 9.866E-08 N
- c) 1.085E-07 N
- d) 1.194E-07 N
- e) 1.313E-07 N

^{2}and separation d=3.20E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.40E-04?

- a) 5.017E+01 V
- b) 5.519E+01 V
- c) 6.071E+01 V
- d) 6.678E+01 V
- e) 7.345E+01 V

10) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.30E-09 Tesla
- b) 4.15E-09 Tesla
- c) 5.23E-09 Tesla
- d) 6.58E-09 Tesla
- e) 8.29E-09 Tesla

11) A circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 62 μC. What is the electric field between the plates?

- a) 9.50E+04 N/C (or V/m)
- b) 1.15E+05 N/C (or V/m)
- c) 1.39E+05 N/C (or V/m)
- d) 1.69E+05 N/C (or V/m)
- e) 2.05E+05 N/C (or V/m)

#### T9 D1[edit]

1) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?

- a) 3.458E-02 H
- b) 3.804E-02 H
- c) 4.184E-02 H
- d) 4.602E-02 H
- e) 5.062E-02 H

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 Ω, L= 7.70E-03H , and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.329E+00 &rad;
- b) 1.462E+00 &rad;
- c) 1.608E+00 &rad;
- d) 1.769E+00 &rad;
- e) 1.946E+00 &rad;

3) A circlular capactitor of radius 4.9 m has a gap of 11 mm, and a charge of 85 μC. What is the electric field between the plates?

- a) 1.27E+05 N/C (or V/m)
- b) 1.54E+05 N/C (or V/m)
- c) 1.87E+05 N/C (or V/m)
- d) 2.26E+05 N/C (or V/m)
- e) 2.74E+05 N/C (or V/m)

_{1}, I

_{2}, I

_{2}) are (1.11 A, 1.25 A, 2.27 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 5.930E-05 T - b) B
_{y}= 6.523E-05 T - c) B
_{y}= 7.175E-05 T - d) B
_{y}= 7.892E-05 T - e) B
_{y}= 8.682E-05 T

5) A long solenoid has a radius of 0.757 m and 90 turns per meter; its current decreases with time according to , where 7 A and 30 s^{−1}.What is the induced electric fied at a distance 2.08 m from the axis at time t=0.0442 s ?

- a) 6.527E-04 V/m
- b) 7.180E-04 V/m
- c) 7.898E-04 V/m
- d) 8.688E-04 V/m
- e) 9.556E-04 V/m

6) 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

7) A circlular capactitor of radius 4.6 m has a gap of 18 mm, and a charge of 44 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 6.64E-09 Tesla
- b) 8.36E-09 Tesla
- c) 1.05E-08 Tesla
- d) 1.32E-08 Tesla
- e) 1.67E-08 Tesla

8) 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

^{2}and separation d=7.50E-03 m is connected via a swith to a 51 Ω resistor and a battery of voltage V

_{0}=81 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.20E-03?

- a) 5.728E+01 V
- b) 6.301E+01 V
- c) 6.931E+01 V
- d) 7.624E+01 V
- e) 8.387E+01 V

10) A solenoid has 5.640E+04 turns wound around a cylinder of diameter 1.35 cm and length 16 m. The current through the coils is 0.912 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.11 cm to z=+2.76 cm

- a) 1.068E-04 T-m
- b) 1.175E-04 T-m
- c) 1.292E-04 T-m
- d) 1.421E-04 T-m
- e) 1.563E-04 T-m

11) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.673E-07 N
- b) 2.940E-07 N
- c) 3.234E-07 N
- d) 3.558E-07 N
- e) 3.913E-07 N

#### T9 D2[edit]

1) A circlular capactitor of radius 4.3 m has a gap of 10 mm, and a charge of 46 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.32E-09 Tesla
- b) 1.05E-08 Tesla
- c) 1.32E-08 Tesla
- d) 1.66E-08 Tesla
- e) 2.09E-08 Tesla

^{2}and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?

- a) 5.131E+01 V
- b) 5.644E+01 V
- c) 6.209E+01 V
- d) 6.830E+01 V
- e) 7.513E+01 V

3) An induced emf of 6.29V is measured across a coil of 85 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.15A in 0.913s. What is the self-inductance of the coil?

- a) 2.428E+00 H
- b) 2.671E+00 H
- c) 2.938E+00 H
- d) 3.232E+00 H
- e) 3.555E+00 H

4) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to , where 6 A and 24 s^{−1}.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?

- a) 1.655E-04 V/m
- b) 1.821E-04 V/m
- c) 2.003E-04 V/m
- d) 2.203E-04 V/m
- e) 2.424E-04 V/m

5) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.646E-01 &rad;
- b) 9.511E-01 &rad;
- c) 1.046E+00 &rad;
- d) 1.151E+00 &rad;
- e) 1.266E+00 &rad;

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) What is the radiation force on an object that is 1.60E+11 m away from the sun and has cross-sectional area of 0.081 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.275E-07 N
- b) 5.803E-07 N
- c) 6.383E-07 N
- d) 7.021E-07 N
- e) 7.723E-07 N

8) 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

9) A circlular capactitor of radius 3.4 m has a gap of 7 mm, and a charge of 95 μC. What is the electric field between the plates?

- a) 2.44E+05 N/C (or V/m)
- b) 2.95E+05 N/C (or V/m)
- c) 3.58E+05 N/C (or V/m)
- d) 4.34E+05 N/C (or V/m)
- e) 5.25E+05 N/C (or V/m)

_{1}, I

_{2}, I

_{2}) are (2.18 A, 1.82 A, 1.35 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 7.035E-05 T - b) B
_{y}= 7.739E-05 T - c) B
_{y}= 8.512E-05 T - d) B
_{y}= 9.364E-05 T - e) B
_{y}= 1.030E-04 T

11) A solenoid has 8.890E+04 turns wound around a cylinder of diameter 1.32 cm and length 15 m. The current through the coils is 0.297 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.41 cm to z=+2.56 cm

- a) 7.257E-05 T-m
- b) 7.983E-05 T-m
- c) 8.781E-05 T-m
- d) 9.660E-05 T-m
- e) 1.063E-04 T-m

### T9 E0[edit]

- 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 alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.82 kA, I

_{2}=0.964 kA, and I

_{3}=2.21 kA, take the path and evalulate the line integral,

:

- a) 1.069E-03 T-m
- b) 1.176E-03 T-m
- c) 1.294E-03 T-m
- d) 1.423E-03 T-m
- e) 1.566E-03 T-m

_{1}, I

_{2}, I

_{2}) are (1.73 A, 1.37 A, 1.65 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.171E-05 T - b) B
_{x}= 6.788E-05 T - c) B
_{x}= 7.467E-05 T - d) B
_{x}= 8.213E-05 T - e) B
_{x}= 9.035E-05 T

5) A long solenoid has a radius of 0.786 m and 60 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 1.98 m from the axis at time t=0.049 s ?

- a) 1.605E-04 V/m
- b) 1.766E-04 V/m
- c) 1.942E-04 V/m
- d) 2.136E-04 V/m
- e) 2.350E-04 V/m

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.53% of its maximum value if ε = 6.08 V , R = 1.88 Ω, and L = 4.67 H?

- a) -5.192E+00 s
- b) -5.711E+00 s
- c) -6.282E+00 s
- d) -6.910E+00 s
- e) -7.601E+00 s

7) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- a) 1.644E+00 A
- b) 1.808E+00 A
- c) 1.989E+00 A
- d) 2.188E+00 A
- e) 2.407E+00 A

^{2}and separation d=7.00E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=78 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.90E-03?

- a) 6.624E-02 A
- b) 7.287E-02 A
- c) 8.016E-02 A
- d) 8.817E-02 A
- e) 9.699E-02 A

9) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.673E-07 N
- b) 2.940E-07 N
- c) 3.234E-07 N
- d) 3.558E-07 N
- e) 3.913E-07 N

10) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.28E-11 Vs
^{2}m^{-1} - b) 8.82E-11 Vs
^{2}m^{-1} - c) 1.07E-10 Vs
^{2}m^{-1} - d) 1.29E-10 Vs
^{2}m^{-1} - e) 1.57E-10 Vs
^{2}m^{-1}

11) A circlular capactitor of radius 4.3 m has a gap of 8 mm, and a charge of 12 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 3.07E-04 s
- b) 3.71E-04 s
- c) 4.50E-04 s
- d) 5.45E-04 s
- e) 6.61E-04 s

#### T9 E1[edit]

1) A circlular capactitor of radius 4.4 m has a gap of 17 mm, and a charge of 65 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.56E-11 Vs
^{2}m^{-1} - b) 6.74E-11 Vs
^{2}m^{-1} - c) 8.17E-11 Vs
^{2}m^{-1} - d) 9.90E-11 Vs
^{2}m^{-1} - e) 1.20E-10 Vs
^{2}m^{-1}

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.63% of its maximum value if ε = 8.7 V , R = 8.35 Ω, and L = 1.44 H?

- a) -3.137E-01 s
- b) -3.451E-01 s
- c) -3.796E-01 s
- d) -4.176E-01 s
- e) -4.593E-01 s

3) What is the radiation force on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.075 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.002E-08 N
- b) 5.502E-08 N
- c) 6.052E-08 N
- d) 6.657E-08 N
- e) 7.323E-08 N

4) A circlular capactitor of radius 4 m has a gap of 16 mm, and a charge of 48 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 1.16E-04 s
- b) 1.41E-04 s
- c) 1.71E-04 s
- d) 2.07E-04 s
- e) 2.50E-04 s

5) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

_{1}, I

_{2}, I

_{2}) are (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 3.394E-05 T - b) B
_{x}= 3.733E-05 T - c) B
_{x}= 4.106E-05 T - d) B
_{x}= 4.517E-05 T - e) B
_{x}= 4.969E-05 T

7) A long solenoid has a radius of 0.887 m and 43 turns per meter; its current decreases with time according to , where 7 A and 28 s^{−1}.What is the induced electric fied at a distance 2.66 m from the axis at time t=0.0332 s ?

- a) 6.182E-04 V/m
- b) 6.801E-04 V/m
- c) 7.481E-04 V/m
- d) 8.229E-04 V/m
- e) 9.052E-04 V/m

^{2}and separation d=4.60E-03 m is connected via a swith to a 96 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=3.30E-04?

- a) 7.315E-02 A
- b) 8.047E-02 A
- c) 8.851E-02 A
- d) 9.737E-02 A
- e) 1.071E-01 A

9) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- a) 5.042E+00 A
- b) 5.546E+00 A
- c) 6.100E+00 A
- d) 6.710E+00 A
- e) 7.381E+00 A

- 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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- a) 8.204E-04 T-m
- b) 9.025E-04 T-m
- c) 9.927E-04 T-m
- d) 1.092E-03 T-m
- e) 1.201E-03 T-m

#### T9 E2[edit]

1) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 6 mF capacitor?

- a) 5.253E-02 A
- b) 5.778E-02 A
- c) 6.356E-02 A
- d) 6.991E-02 A
- e) 7.691E-02 A

- 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

^{2}and separation d=9.00E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?

- a) 6.394E-02 A
- b) 7.033E-02 A
- c) 7.736E-02 A
- d) 8.510E-02 A
- e) 9.361E-02 A

4) A long solenoid has a radius of 0.887 m and 43 turns per meter; its current decreases with time according to , where 7 A and 28 s^{−1}.What is the induced electric fied at a distance 2.66 m from the axis at time t=0.0332 s ?

- a) 6.182E-04 V/m
- b) 6.801E-04 V/m
- c) 7.481E-04 V/m
- d) 8.229E-04 V/m
- e) 9.052E-04 V/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.51 kA, I

_{2}=1.32 kA, and I

_{3}=2.73 kA, take the path and evalulate the line integral,

:

- a) 1.331E-03 T-m
- b) 1.464E-03 T-m
- c) 1.611E-03 T-m
- d) 1.772E-03 T-m
- e) 1.949E-03 T-m

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.59% of its maximum value if ε = 1.14 V , R = 6.17 Ω, and L = 5.45 H?

- a) -1.614E+00 s
- b) -1.775E+00 s
- c) -1.952E+00 s
- d) -2.148E+00 s
- e) -2.362E+00 s

7) What is the radiation force on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.630E-08 N
- b) 1.793E-08 N
- c) 1.972E-08 N
- d) 2.169E-08 N
- e) 2.386E-08 N

_{1}, I

_{2}, I

_{2}) are (1.1 A, 1.11 A, 2.26 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.507E-05 T - b) B
_{x}= 8.257E-05 T - c) B
_{x}= 9.083E-05 T - d) B
_{x}= 9.991E-05 T - e) B
_{x}= 1.099E-04 T

9) A circlular capactitor of radius 3.4 m has a gap of 8 mm, and a charge of 64 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 3.62E-04 s
- b) 4.38E-04 s
- c) 5.31E-04 s
- d) 6.43E-04 s
- e) 7.79E-04 s

10) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

11) A circlular capactitor of radius 4.1 m has a gap of 8 mm, and a charge of 24 μC. Compute the surface integral over an inner face of the capacitor.

- a) 2.05E-11 Vs
^{2}m^{-1} - b) 2.49E-11 Vs
^{2}m^{-1} - c) 3.02E-11 Vs
^{2}m^{-1} - d) 3.65E-11 Vs
^{2}m^{-1} - e) 4.43E-11 Vs
^{2}m^{-1}

### T9 F0[edit]

1) 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

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) A wire carries a current of 332 A in a circular arc with radius 2.47 cm swept through 44 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 3.389E+00 Tesla
- b) 3.727E+00 Tesla
- c) 4.100E+00 Tesla
- d) 4.510E+00 Tesla
- e) 4.961E+00 Tesla

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.45 kA, I

_{2}=2.68 kA, and I

_{3}=5.5 kA, take the path and evalulate the line integral,

:

- a) 3.544E-03 T-m
- b) 3.898E-03 T-m
- c) 4.288E-03 T-m
- d) 4.717E-03 T-m
- e) 5.188E-03 T-m

5) The current through the windings of a solenoid with n= 1.850E+03 turns per meter is changing at a rate dI/dt=17 A/s. The solenoid is 98 cm long and has a cross-sectional diameter of 3.38 cm. A small coil consisting of N=23turns wraped in a circle of diameter 1.72 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.587E-04 V
- b) 1.745E-04 V
- c) 1.920E-04 V
- d) 2.112E-04 V
- e) 2.323E-04 V

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =2.47 s if ε = 7.04 V , R = 7.69 Ω, and L = 5.78 H?

- a) 4.249E-01 V
- b) 5.099E-01 V
- c) 6.118E-01 V
- d) 7.342E-01 V
- e) 8.810E-01 V

7) The output of an ac generator connected to an RLC series combination has a frequency of 3.40E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 6.60E-03H , and C=5.30E-06 F, what is the rms power transferred to the resistor?

- a) 2.007E-03 Watts
- b) 2.208E-03 Watts
- c) 2.429E-03 Watts
- d) 2.672E-03 Watts
- e) 2.939E-03 Watts

8) A 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.003E+02 km
- b) 1.103E+02 km
- c) 1.213E+02 km
- d) 1.335E+02 km
- e) 1.468E+02 km

^{2}and separation d=3.50E-03 m is connected via a swith to a 28 Ω resistor and a battery of voltage V

_{0}=16 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=6.00E-04?

- a) 3.751E+03 V/m
- b) 4.126E+03 V/m
- c) 4.539E+03 V/m
- d) 4.993E+03 V/m
- e) 5.492E+03 V/m

10) A circlular capactitor of radius 3.3 m has a gap of 12 mm, and a charge of 63 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 9.94E-05 s
- b) 1.20E-04 s
- c) 1.46E-04 s
- d) 1.77E-04 s
- e) 2.14E-04 s

11) A circlular capactitor of radius 4.3 m has a gap of 14 mm, and a charge of 15 μC. Compute the surface integral over an inner face of the capacitor.

- a) 8.75E-12 Vs
^{2}m^{-1} - b) 1.06E-11 Vs
^{2}m^{-1} - c) 1.28E-11 Vs
^{2}m^{-1} - d) 1.56E-11 Vs
^{2}m^{-1} - e) 1.88E-11 Vs
^{2}m^{-1}

#### T9 F1[edit]

1) A circlular capactitor of radius 4.5 m has a gap of 18 mm, and a charge of 92 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.88E-11 Vs
^{2}m^{-1} - b) 9.54E-11 Vs
^{2}m^{-1} - c) 1.16E-10 Vs
^{2}m^{-1} - d) 1.40E-10 Vs
^{2}m^{-1} - e) 1.70E-10 Vs
^{2}m^{-1}

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) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

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 circlular capactitor of radius 3.6 m has a gap of 14 mm, and a charge of 98 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 1.40E-04 s
- b) 1.70E-04 s
- c) 2.06E-04 s
- d) 2.50E-04 s
- e) 3.02E-04 s

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.84 kA, I

_{2}=0.476 kA, and I

_{3}=1.57 kA, take the path and evalulate the line integral,

:

- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m

7) A 57 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.020E+02 km
- b) 1.122E+02 km
- c) 1.235E+02 km
- d) 1.358E+02 km
- e) 1.494E+02 km

8) The current through the windings of a solenoid with n= 2.040E+03 turns per meter is changing at a rate dI/dt=19 A/s. The solenoid is 76 cm long and has a cross-sectional diameter of 3.23 cm. A small coil consisting of N=25turns wraped in a circle of diameter 1.67 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 2.204E-04 V
- b) 2.425E-04 V
- c) 2.667E-04 V
- d) 2.934E-04 V
- e) 3.227E-04 V

^{2}and separation d=4.90E-03 m is connected via a swith to a 93 Ω resistor and a battery of voltage V

_{0}=5 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.20E-03?

- a) 6.896E+02 V/m
- b) 7.585E+02 V/m
- c) 8.344E+02 V/m
- d) 9.178E+02 V/m
- e) 1.010E+03 V/m

10) A wire carries a current of 106 A in a circular arc with radius 1.32 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 1.589E+00 Tesla
- b) 1.748E+00 Tesla
- c) 1.923E+00 Tesla
- d) 2.116E+00 Tesla
- e) 2.327E+00 Tesla

#### T9 F2[edit]

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.51 kA, I

_{2}=2.33 kA, and I

_{3}=5.35 kA, take the path and evalulate the line integral,

:

- a) 3.795E-03 T-m
- b) 4.175E-03 T-m
- c) 4.592E-03 T-m
- d) 5.051E-03 T-m
- e) 5.556E-03 T-m

2) A 48 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 96 kW?

- a) 1.753E+02 km
- b) 1.928E+02 km
- c) 2.121E+02 km
- d) 2.333E+02 km
- e) 2.567E+02 km

3) The output of an ac generator connected to an RLC series combination has a frequency of 4.00E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 7.00E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.146E-03 Watts
- b) 1.260E-03 Watts
- c) 1.386E-03 Watts
- d) 1.525E-03 Watts
- e) 1.677E-03 Watts

4) The current through the windings of a solenoid with n= 2.760E+03 turns per meter is changing at a rate dI/dt=8 A/s. The solenoid is 74 cm long and has a cross-sectional diameter of 2.57 cm. A small coil consisting of N=32turns wraped in a circle of diameter 1.49 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.407E-04 V
- b) 1.548E-04 V
- c) 1.703E-04 V
- d) 1.873E-04 V
- e) 2.061E-04 V

5) 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

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =20.1 s if ε = 5.77 V , R = 1.38 Ω, and L = 5.45 H?

- a) 3.463E+00 V
- b) 4.156E+00 V
- c) 4.987E+00 V
- d) 5.984E+00 V
- e) 7.181E+00 V

7) A circlular capactitor of radius 3.4 m has a gap of 8 mm, and a charge of 64 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 3.62E-04 s
- b) 4.38E-04 s
- c) 5.31E-04 s
- d) 6.43E-04 s
- e) 7.79E-04 s

8) A wire carries a current of 303 A in a circular arc with radius 2.2 cm swept through 72 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 3.881E+00 Tesla
- b) 4.269E+00 Tesla
- c) 4.696E+00 Tesla
- d) 5.165E+00 Tesla
- e) 5.682E+00 Tesla

9) 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

10) A circlular capactitor of radius 4.3 m has a gap of 14 mm, and a charge of 15 μC. Compute the surface integral over an inner face of the capacitor.

- a) 8.75E-12 Vs
^{2}m^{-1} - b) 1.06E-11 Vs
^{2}m^{-1} - c) 1.28E-11 Vs
^{2}m^{-1} - d) 1.56E-11 Vs
^{2}m^{-1} - e) 1.88E-11 Vs
^{2}m^{-1}

^{2}and separation d=6.40E-03 m is connected via a swith to a 83 Ω resistor and a battery of voltage V

_{0}=56 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.40E-03?

- a) 7.767E+03 V/m
- b) 8.544E+03 V/m
- c) 9.398E+03 V/m
- d) 1.034E+04 V/m
- e) 1.137E+04 V/m

### T9 G0[edit]

1) 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

2) 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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.84 kA, I

_{2}=0.476 kA, and I

_{3}=1.57 kA, take the path and evalulate the line integral,

:

- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m

_{1}, I

_{2}, I

_{2}) are (1.11 A, 1.25 A, 2.27 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 5.930E-05 T - b) B
_{y}= 6.523E-05 T - c) B
_{y}= 7.175E-05 T - d) B
_{y}= 7.892E-05 T - e) B
_{y}= 8.682E-05 T

--(

*Answer & Why this question is different.*)

- a) 7.479E+00 cm
^{3}/s - b) 8.227E+00 cm
^{3}/s - c) 9.049E+00 cm
^{3}/s - d) 9.954E+00 cm
^{3}/s - e) 1.095E+01 cm
^{3}/s

6) In an LC circuit, the self-inductance is 0.0126 H and the capacitance is 3.350E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 7.420E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 2.204E-04 s
- b) 2.425E-04 s
- c) 2.667E-04 s
- d) 2.934E-04 s
- e) 3.227E-04 s

7) An ac generator produces an emf of amplitude 73 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF inductor?

- a) 1.134E+00 A
- b) 1.247E+00 A
- c) 1.372E+00 A
- d) 1.509E+00 A
- e) 1.660E+00 A

^{2}and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?

- a) 5.131E+01 V
- b) 5.644E+01 V
- c) 6.209E+01 V
- d) 6.830E+01 V
- e) 7.513E+01 V

9) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 3.075E-07 N/m
^{2} - b) 3.382E-07 N/m
^{2} - c) 3.720E-07 N/m
^{2} - d) 4.092E-07 N/m
^{2} - e) 4.502E-07 N/m
^{2}

10) A circlular capactitor of radius 4.3 m has a gap of 10 mm, and a charge of 46 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.32E-09 Tesla
- b) 1.05E-08 Tesla
- c) 1.32E-08 Tesla
- d) 1.66E-08 Tesla
- e) 2.09E-08 Tesla

11) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 45 μC. What is the electric field between the plates?

- a) 6.31E+04 N/C (or V/m)
- b) 7.65E+04 N/C (or V/m)
- c) 9.26E+04 N/C (or V/m)
- d) 1.12E+05 N/C (or V/m)
- e) 1.36E+05 N/C (or V/m)

#### T9 G1[edit]

1) A circlular capactitor of radius 3.4 m has a gap of 7 mm, and a charge of 95 μC. What is the electric field between the plates?

- a) 2.44E+05 N/C (or V/m)
- b) 2.95E+05 N/C (or V/m)
- c) 3.58E+05 N/C (or V/m)
- d) 4.34E+05 N/C (or V/m)
- e) 5.25E+05 N/C (or V/m)

_{1}, I

_{2}, I

_{2}) are (2.49 A, 1.32 A, 1.75 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 8.962E-05 T - b) B
_{y}= 9.858E-05 T - c) B
_{y}= 1.084E-04 T - d) B
_{y}= 1.193E-04 T - e) B
_{y}= 1.312E-04 T

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.84 kA, I

_{2}=0.476 kA, and I

_{3}=1.57 kA, take the path and evalulate the line integral,

:

- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m

4) 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

--(

*Answer & Why this question is different.*)

- a) 7.280E+01 cm
^{3}/s - b) 8.008E+01 cm
^{3}/s - c) 8.808E+01 cm
^{3}/s - d) 9.689E+01 cm
^{3}/s - e) 1.066E+02 cm
^{3}/s

6) What is the radiation pressure on an object that is 1.10E+11 m away from the sun and has cross-sectional area of 0.048 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.253E-05 N/m
^{2} - b) 1.378E-05 N/m
^{2} - c) 1.516E-05 N/m
^{2} - d) 1.667E-05 N/m
^{2} - e) 1.834E-05 N/m
^{2}

7) In an LC circuit, the self-inductance is 0.0273 H and the capacitance is 6.440E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.620E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 5.443E-04 s
- b) 5.988E-04 s
- c) 6.586E-04 s
- d) 7.245E-04 s
- e) 7.969E-04 s

8) 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}and separation d=3.30E-03 m is connected via a swith to a 40 Ω resistor and a battery of voltage V

_{0}=97 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.40E-04?

- a) 7.731E+01 V
- b) 8.504E+01 V
- c) 9.354E+01 V
- d) 1.029E+02 V
- e) 1.132E+02 V

10) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.95E-09 Tesla
- b) 4.97E-09 Tesla
- c) 6.26E-09 Tesla
- d) 7.88E-09 Tesla
- e) 9.92E-09 Tesla

11) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- a) 4.972E-01 A
- b) 5.469E-01 A
- c) 6.016E-01 A
- d) 6.618E-01 A
- e) 7.280E-01 A

#### T9 G2[edit]

1) A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 11 μC. What is the electric field between the plates?

- a) 2.80E+04 N/C (or V/m)
- b) 3.40E+04 N/C (or V/m)
- c) 4.12E+04 N/C (or V/m)
- d) 4.99E+04 N/C (or V/m)
- e) 6.04E+04 N/C (or V/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

_{1}, I

_{2}, I

_{2}) are (1.91 A, 1.34 A, 1.05 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 5.611E-05 T - b) B
_{y}= 6.172E-05 T - c) B
_{y}= 6.789E-05 T - d) B
_{y}= 7.468E-05 T - e) B
_{y}= 8.215E-05 T

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.66 kA, I

_{2}=1.25 kA, and I

_{3}=2.74 kA, take the path and evalulate the line integral,

:

- a) 1.547E-03 T-m
- b) 1.702E-03 T-m
- c) 1.872E-03 T-m
- d) 2.060E-03 T-m
- e) 2.266E-03 T-m

5) An ac generator produces an emf of amplitude 58 V at a frequency of 99 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF inductor?

- a) 2.422E+00 A
- b) 2.664E+00 A
- c) 2.930E+00 A
- d) 3.224E+00 A
- e) 3.546E+00 A

6) A circlular capactitor of radius 3.5 m has a gap of 14 mm, and a charge of 88 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 1.86E-08 Tesla
- b) 2.34E-08 Tesla
- c) 2.95E-08 Tesla
- d) 3.72E-08 Tesla
- e) 4.68E-08 Tesla

7) What is the radiation pressure on an object that is 8.30E+11 m away from the sun and has cross-sectional area of 0.097 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.928E-07 N/m
^{2} - b) 3.221E-07 N/m
^{2} - c) 3.543E-07 N/m
^{2} - d) 3.898E-07 N/m
^{2} - e) 4.287E-07 N/m
^{2}

8) In an LC circuit, the self-inductance is 0.0424 H and the capacitance is 7.790E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.230E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.166E-04 s
- b) 6.783E-04 s
- c) 7.461E-04 s
- d) 8.207E-04 s
- e) 9.028E-04 s

--(

*Answer & Why this question is different.*)

- a) 3.093E+01 cm
^{3}/s - b) 3.403E+01 cm
^{3}/s - c) 3.743E+01 cm
^{3}/s - d) 4.117E+01 cm
^{3}/s - e) 4.529E+01 cm
^{3}/s

^{2}and separation d=5.00E-03 m is connected via a swith to a 29 Ω resistor and a battery of voltage V

_{0}=50 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.30E-04?

- a) 3.923E+01 V
- b) 4.315E+01 V
- c) 4.746E+01 V
- d) 5.221E+01 V
- e) 5.743E+01 V

11) 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

### T9 H0[edit]

1) 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

2) 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

3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.04 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.115E-05 T
- b) 1.226E-05 T
- c) 1.349E-05 T
- d) 1.484E-05 T
- e) 1.632E-05 T

4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.736 m and 0.204 T, then how much current (in the z-direction) flows through a circle of radius 0.532 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.764E+05 A
- b) 4.140E+05 A
- c) 4.554E+05 A
- d) 5.010E+05 A
- e) 5.510E+05 A

5) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.75 T and 9.800E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.22 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 4.198E+04 V
- b) 4.618E+04 V
- c) 5.080E+04 V
- d) 5.588E+04 V
- e) 6.147E+04 V

6) A washer has an inner diameter of 2.23 cm and an outer diamter of 4.85 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.038E+00 cm
^{3} - b) 1.142E+00 cm
^{3} - c) 1.256E+00 cm
^{3} - d) 1.381E+00 cm
^{3} - e) 1.520E+00 cm
^{3}

7) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- a) 4.961E-01 A
- b) 5.457E-01 A
- c) 6.002E-01 A
- d) 6.603E-01 A
- e) 7.263E-01 A

^{2}and separation d=5.00E-03 m is connected via a swith to a 27 Ω resistor and a battery of voltage V

_{0}=80 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.60E-04?

- a) 9.524E-01 A
- b) 1.048E+00 A
- c) 1.152E+00 A
- d) 1.268E+00 A
- e) 1.394E+00 A

9) What is the radiation pressure on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.057 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 3.075E-07 N/m
^{2} - b) 3.382E-07 N/m
^{2} - c) 3.720E-07 N/m
^{2} - d) 4.092E-07 N/m
^{2} - e) 4.502E-07 N/m
^{2}

10) A circlular capactitor of radius 3.4 m has a gap of 7 mm, and a charge of 95 μC. What is the electric field between the plates?

- a) 2.44E+05 N/C (or V/m)
- b) 2.95E+05 N/C (or V/m)
- c) 3.58E+05 N/C (or V/m)
- d) 4.34E+05 N/C (or V/m)
- e) 5.25E+05 N/C (or V/m)

11) A circlular capactitor of radius 4.3 m has a gap of 11 mm, and a charge of 66 μC. Compute the surface integral over an inner face of the capacitor.

- a) 6.85E-11 Vs
^{2}m^{-1} - b) 8.29E-11 Vs
^{2}m^{-1} - c) 1.00E-10 Vs
^{2}m^{-1} - d) 1.22E-10 Vs
^{2}m^{-1} - e) 1.47E-10 Vs
^{2}m^{-1}

#### T9 H1[edit]

1) 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

2) A circlular capactitor of radius 3.7 m has a gap of 10 mm, and a charge of 12 μC. What is the electric field between the plates?

- a) 2.15E+04 N/C (or V/m)
- b) 2.60E+04 N/C (or V/m)
- c) 3.15E+04 N/C (or V/m)
- d) 3.82E+04 N/C (or V/m)
- e) 4.63E+04 N/C (or V/m)

3) A washer has an inner diameter of 2.75 cm and an outer diamter of 4.87 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 7.754E-01 cm
^{3} - b) 8.530E-01 cm
^{3} - c) 9.383E-01 cm
^{3} - d) 1.032E+00 cm
^{3} - e) 1.135E+00 cm
^{3}

4) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.315E-07 N/m
^{2} - b) 2.547E-07 N/m
^{2} - c) 2.801E-07 N/m
^{2} - d) 3.082E-07 N/m
^{2} - e) 3.390E-07 N/m
^{2}

5) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T

^{2}and separation d=7.00E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=78 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.90E-03?

- a) 6.624E-02 A
- b) 7.287E-02 A
- c) 8.016E-02 A
- d) 8.817E-02 A
- e) 9.699E-02 A

7) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.58 T and 4.310E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.879 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 7.043E+04 V
- b) 7.747E+04 V
- c) 8.522E+04 V
- d) 9.374E+04 V
- e) 1.031E+05 V

8) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.645 m and 0.469 T, then how much current (in the z-direction) flows through a circle of radius 0.26 m that is centered on the axis with its plane perpendicular to the axis?

- a) 2.949E+05 A
- b) 3.244E+05 A
- c) 3.568E+05 A
- d) 3.925E+05 A
- e) 4.317E+05 A

9) An ac generator produces an emf of amplitude 8 V at a frequency of 80 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 8.541E-01 A
- b) 9.395E-01 A
- c) 1.033E+00 A
- d) 1.137E+00 A
- e) 1.251E+00 A

10) 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

11) A circlular capactitor of radius 3.8 m has a gap of 14 mm, and a charge of 83 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.11E-11 Vs
^{2}m^{-1} - b) 8.61E-11 Vs
^{2}m^{-1} - c) 1.04E-10 Vs
^{2}m^{-1} - d) 1.26E-10 Vs
^{2}m^{-1} - e) 1.53E-10 Vs
^{2}m^{-1}

#### T9 H2[edit]

1) 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

^{2}and separation d=7.00E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=78 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.90E-03?

- a) 6.624E-02 A
- b) 7.287E-02 A
- c) 8.016E-02 A
- d) 8.817E-02 A
- e) 9.699E-02 A

3) A washer has an inner diameter of 2.31 cm and an outer diamter of 4.19 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.071E+00 cm
^{3} - b) 1.178E+00 cm
^{3} - c) 1.296E+00 cm
^{3} - d) 1.425E+00 cm
^{3} - e) 1.568E+00 cm
^{3}

4) A circlular capactitor of radius 3.9 m has a gap of 19 mm, and a charge of 78 μC. Compute the surface integral over an inner face of the capacitor.

- a) 4.55E-11 Vs
^{2}m^{-1} - b) 5.51E-11 Vs
^{2}m^{-1} - c) 6.68E-11 Vs
^{2}m^{-1} - d) 8.09E-11 Vs
^{2}m^{-1} - e) 9.80E-11 Vs
^{2}m^{-1}

5) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.66 mm from the center of a wire of radius 4 mm if the current is 1A?

- a) 3.325E-05 T
- b) 3.658E-05 T
- c) 4.023E-05 T
- d) 4.426E-05 T
- e) 4.868E-05 T

6) What is the radiation pressure on an object that is 1.10E+11 m away from the sun and has cross-sectional area of 0.036 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.378E-05 N/m
^{2} - b) 1.516E-05 N/m
^{2} - c) 1.667E-05 N/m
^{2} - d) 1.834E-05 N/m
^{2} - e) 2.017E-05 N/m
^{2}

7) A circlular capactitor of radius 4.3 m has a gap of 7 mm, and a charge of 47 μC. What is the electric field between the plates?

- a) 7.54E+04 N/C (or V/m)
- b) 9.14E+04 N/C (or V/m)
- c) 1.11E+05 N/C (or V/m)
- d) 1.34E+05 N/C (or V/m)
- e) 1.63E+05 N/C (or V/m)

8) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.54 T and 1.860E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.642 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 2.415E+04 V
- b) 2.656E+04 V
- c) 2.922E+04 V
- d) 3.214E+04 V
- e) 3.535E+04 V

9) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- a) 4.972E-01 A
- b) 5.469E-01 A
- c) 6.016E-01 A
- d) 6.618E-01 A
- e) 7.280E-01 A

10) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?

- a) 7.876E+05 A
- b) 8.664E+05 A
- c) 9.530E+05 A
- d) 1.048E+06 A
- e) 1.153E+06 A

11) 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

### T9 I0[edit]

1) 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

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) A solenoid has 9.880E+04 turns wound around a cylinder of diameter 1.5 cm and length 15 m. The current through the coils is 0.981 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.56 cm to z=+3.22 cm

- a) 2.916E-04 T-m
- b) 3.208E-04 T-m
- c) 3.528E-04 T-m
- d) 3.881E-04 T-m
- e) 4.269E-04 T-m

_{1}, I

_{2}, I

_{2}) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 6.833E-05 T - b) B
_{y}= 7.517E-05 T - c) B
_{y}= 8.268E-05 T - d) B
_{y}= 9.095E-05 T - e) B
_{y}= 1.000E-04 T

5) A long solenoid has a radius of 0.777 m and 67 turns per meter; its current decreases with time according to , where 6 A and 20 s^{−1}.What is the induced electric fied at a distance 2.39 m from the axis at time t=0.0399 s ?

- a) 3.924E-04 V/m
- b) 4.317E-04 V/m
- c) 4.748E-04 V/m
- d) 5.223E-04 V/m
- e) 5.745E-04 V/m

6) An induced emf of 7.94V is measured across a coil of 94 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.65A in 0.478s. What is the self-inductance of the coil?

- a) 5.047E-01 H
- b) 5.552E-01 H
- c) 6.107E-01 H
- d) 6.717E-01 H
- e) 7.389E-01 H

7) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- a) 4.347E-05 Watts
- b) 4.782E-05 Watts
- c) 5.260E-05 Watts
- d) 5.786E-05 Watts
- e) 6.364E-05 Watts

^{2}and separation d=6.90E-03 m is connected via a swith to a 89 Ω resistor and a battery of voltage V

_{0}=89 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=3.40E-03?

- a) 6.595E+01 V
- b) 7.255E+01 V
- c) 7.980E+01 V
- d) 8.778E+01 V
- e) 9.656E+01 V

9) What is the radiation pressure on an object that is 9.30E+11 m away from the sun and has cross-sectional area of 0.019 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.332E-07 N/m
^{2} - b) 2.566E-07 N/m
^{2} - c) 2.822E-07 N/m
^{2} - d) 3.104E-07 N/m
^{2} - e) 3.415E-07 N/m
^{2}

10) A circlular capactitor of radius 3.2 m has a gap of 18 mm, and a charge of 82 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.79E-11 Vs
^{2}m^{-1} - b) 7.02E-11 Vs
^{2}m^{-1} - c) 8.51E-11 Vs
^{2}m^{-1} - d) 1.03E-10 Vs
^{2}m^{-1} - e) 1.25E-10 Vs
^{2}m^{-1}

11) A circlular capactitor of radius 4.2 m has a gap of 12 mm, and a charge of 94 μC. What is the electric field between the plates?

- a) 1.92E+05 N/C (or V/m)
- b) 2.32E+05 N/C (or V/m)
- c) 2.81E+05 N/C (or V/m)
- d) 3.41E+05 N/C (or V/m)
- e) 4.13E+05 N/C (or V/m)

#### T9 I1[edit]

1) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.28E-11 Vs
^{2}m^{-1} - b) 8.82E-11 Vs
^{2}m^{-1} - c) 1.07E-10 Vs
^{2}m^{-1} - d) 1.29E-10 Vs
^{2}m^{-1} - e) 1.57E-10 Vs
^{2}m^{-1}

2) An induced emf of 6.75V is measured across a coil of 79 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.76A in 0.115s. What is the self-inductance of the coil?

- a) 9.094E-02 H
- b) 1.000E-01 H
- c) 1.100E-01 H
- d) 1.210E-01 H
- e) 1.331E-01 H

_{1}, I

_{2}, I

_{2}) are (2.18 A, 1.82 A, 1.35 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 7.035E-05 T - b) B
_{y}= 7.739E-05 T - c) B
_{y}= 8.512E-05 T - d) B
_{y}= 9.364E-05 T - e) B
_{y}= 1.030E-04 T

4) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- a) 1.011E-03 Watts
- b) 1.112E-03 Watts
- c) 1.223E-03 Watts
- d) 1.345E-03 Watts
- e) 1.480E-03 Watts

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 solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm

- a) 1.863E-04 T-m
- b) 2.050E-04 T-m
- c) 2.255E-04 T-m
- d) 2.480E-04 T-m
- e) 2.728E-04 T-m

7) What is the radiation pressure on an object that is 1.10E+11 m away from the sun and has cross-sectional area of 0.036 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.378E-05 N/m
^{2} - b) 1.516E-05 N/m
^{2} - c) 1.667E-05 N/m
^{2} - d) 1.834E-05 N/m
^{2} - e) 2.017E-05 N/m
^{2}

^{2}and separation d=6.30E-03 m is connected via a swith to a 4 Ω resistor and a battery of voltage V

_{0}=7 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=3.40E-05?

- a) 6.252E+00 V
- b) 6.878E+00 V
- c) 7.565E+00 V
- d) 8.322E+00 V
- e) 9.154E+00 V

9) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 75 μC. What is the electric field between the plates?

- a) 5.43E+04 N/C (or V/m)
- b) 6.58E+04 N/C (or V/m)
- c) 7.97E+04 N/C (or V/m)
- d) 9.66E+04 N/C (or V/m)
- e) 1.17E+05 N/C (or V/m)

10) A long solenoid has a radius of 0.8 m and 77 turns per meter; its current decreases with time according to , where 5 A and 28 s^{−1}.What is the induced electric fied at a distance 2.2 m from the axis at time t=0.0757 s ?

- a) 1.616E-04 V/m
- b) 1.778E-04 V/m
- c) 1.955E-04 V/m
- d) 2.151E-04 V/m
- e) 2.366E-04 V/m

11) 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

#### T9 I2[edit]

1) 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

2) A circlular capactitor of radius 3.2 m has a gap of 19 mm, and a charge of 46 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.78E-11 Vs
^{2}m^{-1} - b) 7.00E-11 Vs
^{2}m^{-1} - c) 8.48E-11 Vs
^{2}m^{-1} - d) 1.03E-10 Vs
^{2}m^{-1} - e) 1.25E-10 Vs
^{2}m^{-1}

3) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 55 μC. What is the electric field between the plates?

- a) 6.37E+04 N/C (or V/m)
- b) 7.71E+04 N/C (or V/m)
- c) 9.34E+04 N/C (or V/m)
- d) 1.13E+05 N/C (or V/m)
- e) 1.37E+05 N/C (or V/m)

4) 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

5) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 3 V. If R =5 Ω, L= 3.90E-03H , and C=9.00E-06 F, what is the rms power transferred to the resistor?

- a) 2.339E-03 Watts
- b) 2.573E-03 Watts
- c) 2.830E-03 Watts
- d) 3.113E-03 Watts
- e) 3.424E-03 Watts

6) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.025 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.511E-07 N/m
^{2} - b) 6.063E-07 N/m
^{2} - c) 6.669E-07 N/m
^{2} - d) 7.336E-07 N/m
^{2} - e) 8.069E-07 N/m
^{2}

7) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?

- a) 6.040E-05 V/m
- b) 6.644E-05 V/m
- c) 7.309E-05 V/m
- d) 8.039E-05 V/m
- e) 8.843E-05 V/m

8) An induced emf of 7.87V is measured across a coil of 66 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.05A in 0.781s. What is the self-inductance of the coil?

- a) 7.926E-01 H
- b) 8.718E-01 H
- c) 9.590E-01 H
- d) 1.055E+00 H
- e) 1.160E+00 H

9) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm

- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m

^{2}and separation d=3.40E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?

- a) 7.693E+01 V
- b) 8.463E+01 V
- c) 9.309E+01 V
- d) 1.024E+02 V
- e) 1.126E+02 V

_{1}, I

_{2}, I

_{2}) are (2.45 A, 2.44 A, 1.61 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 9.388E-05 T - b) B
_{y}= 1.033E-04 T - c) B
_{y}= 1.136E-04 T - d) B
_{y}= 1.250E-04 T - e) B
_{y}= 1.375E-04 T

### T9 J0[edit]

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) 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

_{1}, I

_{2}, I

_{2}) are (2.01 A, 1.09 A, 1.56 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 4.688E-05 T - b) B
_{y}= 5.156E-05 T - c) B
_{y}= 5.672E-05 T - d) B
_{y}= 6.239E-05 T - e) B
_{y}= 6.863E-05 T

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.38 kA, I

_{2}=1.58 kA, and I

_{3}=4.31 kA, take the path and evalulate the line integral,

:

- a) 4.386E-03 T-m
- b) 4.825E-03 T-m
- c) 5.307E-03 T-m
- d) 5.838E-03 T-m
- e) 6.421E-03 T-m

5) A long solenoid has a radius of 0.786 m and 60 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 1.98 m from the axis at time t=0.049 s ?

- a) 1.605E-04 V/m
- b) 1.766E-04 V/m
- c) 1.942E-04 V/m
- d) 2.136E-04 V/m
- e) 2.350E-04 V/m

6) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 4.489E-04 s
- b) 4.938E-04 s
- c) 5.432E-04 s
- d) 5.975E-04 s
- e) 6.572E-04 s

7) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- a) 5.042E+00 A
- b) 5.546E+00 A
- c) 6.100E+00 A
- d) 6.710E+00 A
- e) 7.381E+00 A

8) What is the radiation force on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.044 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 7.088E-09 N
- b) 7.796E-09 N
- c) 8.576E-09 N
- d) 9.434E-09 N
- e) 1.038E-08 N

^{2}and separation d=5.00E-03 m is connected via a swith to a 41 Ω resistor and a battery of voltage V

_{0}=92 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=4.50E-04?

- a) 6.755E+01 V
- b) 7.431E+01 V
- c) 8.174E+01 V
- d) 8.991E+01 V
- e) 9.890E+01 V

10) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.28E-11 Vs
^{2}m^{-1} - b) 8.82E-11 Vs
^{2}m^{-1} - c) 1.07E-10 Vs
^{2}m^{-1} - d) 1.29E-10 Vs
^{2}m^{-1} - e) 1.57E-10 Vs
^{2}m^{-1}

11) A circlular capactitor of radius 3.1 m has a gap of 9 mm, and a charge of 11 μC. What is the electric field between the plates?

- a) 2.80E+04 N/C (or V/m)
- b) 3.40E+04 N/C (or V/m)
- c) 4.12E+04 N/C (or V/m)
- d) 4.99E+04 N/C (or V/m)
- e) 6.04E+04 N/C (or V/m)

#### T9 J1[edit]

1) 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

2) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 6 mF capacitor?

- a) 5.253E-02 A
- b) 5.778E-02 A
- c) 6.356E-02 A
- d) 6.991E-02 A
- e) 7.691E-02 A

_{1}, I

_{2}, I

_{2}) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 4.028E-05 T - b) B
_{y}= 4.431E-05 T - c) B
_{y}= 4.874E-05 T - d) B
_{y}= 5.361E-05 T - e) B
_{y}= 5.897E-05 T

4) A circlular capactitor of radius 3.5 m has a gap of 14 mm, and a charge of 21 μC. What is the electric field between the plates?

- a) 6.16E+04 N/C (or V/m)
- b) 7.47E+04 N/C (or V/m)
- c) 9.05E+04 N/C (or V/m)
- d) 1.10E+05 N/C (or V/m)
- e) 1.33E+05 N/C (or V/m)

5) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.230E-04 s
- b) 6.853E-04 s
- c) 7.538E-04 s
- d) 8.292E-04 s
- e) 9.121E-04 s

6) A circlular capactitor of radius 4.5 m has a gap of 19 mm, and a charge of 13 μC. Compute the surface integral over an inner face of the capacitor.

- a) 1.35E-11 Vs
^{2}m^{-1} - b) 1.63E-11 Vs
^{2}m^{-1} - c) 1.98E-11 Vs
^{2}m^{-1} - d) 2.40E-11 Vs
^{2}m^{-1} - e) 2.91E-11 Vs
^{2}m^{-1}

^{2}and separation d=5.10E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=54 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.50E-04?

- a) 3.015E+01 V
- b) 3.316E+01 V
- c) 3.648E+01 V
- d) 4.013E+01 V
- e) 4.414E+01 V

8) What is the radiation force on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.075 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.002E-08 N
- b) 5.502E-08 N
- c) 6.052E-08 N
- d) 6.657E-08 N
- e) 7.323E-08 N

9) A long solenoid has a radius of 0.8 m and 77 turns per meter; its current decreases with time according to , where 5 A and 28 s^{−1}.What is the induced electric fied at a distance 2.2 m from the axis at time t=0.0757 s ?

- a) 1.616E-04 V/m
- b) 1.778E-04 V/m
- c) 1.955E-04 V/m
- d) 2.151E-04 V/m
- e) 2.366E-04 V/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.42 kA, I

_{2}=0.904 kA, and I

_{3}=1.34 kA, take the path and evalulate the line integral,

:

- a) 2.696E-03 T-m
- b) 2.966E-03 T-m
- c) 3.263E-03 T-m
- d) 3.589E-03 T-m
- e) 3.948E-03 T-m

11) 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

#### T9 J2[edit]

1) What is the radiation force on an object that is 9.90E+11 m away from the sun and has cross-sectional area of 0.083 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.167E-08 N
- b) 1.284E-08 N
- c) 1.412E-08 N
- d) 1.553E-08 N
- e) 1.708E-08 N

_{1}, I

_{2}, I

_{2}) are (1.32 A, 1.4 A, 2.27 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 3.480E-05 T - b) B
_{y}= 3.828E-05 T - c) B
_{y}= 4.210E-05 T - d) B
_{y}= 4.631E-05 T - e) B
_{y}= 5.095E-05 T

^{2}and separation d=3.20E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V

_{0}=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.40E-04?

- a) 5.017E+01 V
- b) 5.519E+01 V
- c) 6.071E+01 V
- d) 6.678E+01 V
- e) 7.345E+01 V

4) In an LC circuit, the self-inductance is 0.0464 H and the capacitance is 7.350E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.280E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 8.339E-04 s
- b) 9.173E-04 s
- c) 1.009E-03 s
- d) 1.110E-03 s
- e) 1.221E-03 s

5) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to , where 6 A and 24 s^{−1}.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?

- a) 1.655E-04 V/m
- b) 1.821E-04 V/m
- c) 2.003E-04 V/m
- d) 2.203E-04 V/m
- e) 2.424E-04 V/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 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

8) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- a) 1.644E+00 A
- b) 1.808E+00 A
- c) 1.989E+00 A
- d) 2.188E+00 A
- e) 2.407E+00 A

9) A circlular capactitor of radius 4.9 m has a gap of 11 mm, and a charge of 85 μC. What is the electric field between the plates?

- a) 1.27E+05 N/C (or V/m)
- b) 1.54E+05 N/C (or V/m)
- c) 1.87E+05 N/C (or V/m)
- d) 2.26E+05 N/C (or V/m)
- e) 2.74E+05 N/C (or V/m)

10) A circlular capactitor of radius 4.8 m has a gap of 12 mm, and a charge of 29 μC. Compute the surface integral over an inner face of the capacitor.

- a) 2.05E-11 Vs
^{2}m^{-1} - b) 2.48E-11 Vs
^{2}m^{-1} - c) 3.01E-11 Vs
^{2}m^{-1} - d) 3.64E-11 Vs
^{2}m^{-1} - e) 4.42E-11 Vs
^{2}m^{-1}

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.46 kA, I

_{2}=2.14 kA, and I

_{3}=4.44 kA, take the path and evalulate the line integral,

:

- a) 4.943E-03 T-m
- b) 5.438E-03 T-m
- c) 5.982E-03 T-m
- d) 6.580E-03 T-m
- e) 7.238E-03 T-m

### T9 K0[edit]

- 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

2) 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

3) Two loops of wire carry the same current of 43 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.516 m while the other has a radius of 1.22 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.565 m from the first (smaller) loopif the disance between the loops is 1.78 m?

- a) 1.798E-02 T
- b) 1.978E-02 T
- c) 2.176E-02 T
- d) 2.394E-02 T
- e) 2.633E-02 T

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 24 turns per centimeter and the current applied to the solenoid is 595 mA, the net magnetic field is measured to be 1.46 T. What is the magnetic susceptibility for this case?

- a) 6.716E+02
- b) 7.387E+02
- c) 8.126E+02
- d) 8.939E+02
- e) 9.833E+02

5) A square coil has sides that are L= 0.727 m long and is tightly wound with N=376 turns of wire. The resistance of the coil is R=5.59 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0485 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 1.567E+00 A
- b) 1.724E+00 A
- c) 1.897E+00 A
- d) 2.086E+00 A
- e) 2.295E+00 A

6) An induced emf of 3.78V is measured across a coil of 99 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.36A in 0.821s. What is the self-inductance of the coil?

- a) 4.033E-01 H
- b) 4.436E-01 H
- c) 4.880E-01 H
- d) 5.367E-01 H
- e) 5.904E-01 H

7) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.759E-01 &rad;
- b) 9.635E-01 &rad;
- c) 1.060E+00 &rad;
- d) 1.166E+00 &rad;
- e) 1.282E+00 &rad;

8) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.099 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.464E-07 N/m
^{2} - b) 1.611E-07 N/m
^{2} - c) 1.772E-07 N/m
^{2} - d) 1.949E-07 N/m
^{2} - e) 2.144E-07 N/m
^{2}

9) A 46 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 78 kW?

- a) 1.563E+02 km
- b) 1.719E+02 km
- c) 1.891E+02 km
- d) 2.080E+02 km
- e) 2.288E+02 km

10) A circlular capactitor of radius 3.1 m has a gap of 15 mm, and a charge of 73 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 6.62E-05 s
- b) 8.02E-05 s
- c) 9.71E-05 s
- d) 1.18E-04 s
- e) 1.43E-04 s

11) A circlular capactitor of radius 3.9 m has a gap of 19 mm, and a charge of 66 μC. What is the electric field between the plates?

- a) 1.29E+05 N/C (or V/m)
- b) 1.56E+05 N/C (or V/m)
- c) 1.89E+05 N/C (or V/m)
- d) 2.29E+05 N/C (or V/m)
- e) 2.77E+05 N/C (or V/m)

#### T9 K1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

2) A circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 36 μC. What is the electric field between the plates?

- a) 4.55E+04 N/C (or V/m)
- b) 5.52E+04 N/C (or V/m)
- c) 6.68E+04 N/C (or V/m)
- d) 8.10E+04 N/C (or V/m)
- e) 9.81E+04 N/C (or V/m)

3) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?

- a) 2.094E+02 km
- b) 2.304E+02 km
- c) 2.534E+02 km
- d) 2.788E+02 km
- e) 3.066E+02 km

4) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.025 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.511E-07 N/m
^{2} - b) 6.063E-07 N/m
^{2} - c) 6.669E-07 N/m
^{2} - d) 7.336E-07 N/m
^{2} - e) 8.069E-07 N/m
^{2}

5) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 23 turns per centimeter and the current applied to the solenoid is 534 mA, the net magnetic field is measured to be 1.48 T. What is the magnetic susceptibility for this case?

- a) 7.917E+02
- b) 8.708E+02
- c) 9.579E+02
- d) 1.054E+03
- e) 1.159E+03

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) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?

- a) 1.127E-02 T
- b) 1.240E-02 T
- c) 1.364E-02 T
- d) 1.500E-02 T
- e) 1.650E-02 T

8) An induced emf of 5.08V is measured across a coil of 78 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.07A in 0.681s. What is the self-inductance of the coil?

- a) 4.660E-01 H
- b) 5.127E-01 H
- c) 5.639E-01 H
- d) 6.203E-01 H
- e) 6.823E-01 H

- 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

10) A square coil has sides that are L= 0.465 m long and is tightly wound with N=954 turns of wire. The resistance of the coil is R=6.06 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0367 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 1.136E+00 A
- b) 1.249E+00 A
- c) 1.374E+00 A
- d) 1.512E+00 A
- e) 1.663E+00 A

11) A circlular capactitor of radius 4.8 m has a gap of 16 mm, and a charge of 89 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.98E-04 s
- b) 2.40E-04 s
- c) 2.91E-04 s
- d) 3.53E-04 s
- e) 4.27E-04 s

#### T9 K2[edit]

1) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?

- a) 2.094E+02 km
- b) 2.304E+02 km
- c) 2.534E+02 km
- d) 2.788E+02 km
- e) 3.066E+02 km

2) An induced emf of 4.7V is measured across a coil of 52 closely wound turns while the current throuth it increases uniformly from 0.0 to 3.08A in 0.961s. What is the self-inductance of the coil?

- a) 1.102E+00 H
- b) 1.212E+00 H
- c) 1.333E+00 H
- d) 1.466E+00 H
- e) 1.613E+00 H

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 20 turns per centimeter and the current applied to the solenoid is 525 mA, the net magnetic field is measured to be 1.45 T. What is the magnetic susceptibility for this case?

- a) 8.249E+02
- b) 9.074E+02
- c) 9.981E+02
- d) 1.098E+03
- e) 1.208E+03

4) A circlular capactitor of radius 3.7 m has a gap of 10 mm, and a charge of 41 μC. What is the electric field between the plates?

- a) 1.08E+05 N/C (or V/m)
- b) 1.30E+05 N/C (or V/m)
- c) 1.58E+05 N/C (or V/m)
- d) 1.91E+05 N/C (or V/m)
- e) 2.32E+05 N/C (or V/m)

5) Two loops of wire carry the same current of 66 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.485 m while the other has a radius of 1.27 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.507 m from the first (smaller) loopif the disance between the loops is 1.76 m?

- a) 2.733E-02 T
- b) 3.007E-02 T
- c) 3.307E-02 T
- d) 3.638E-02 T
- e) 4.002E-02 T

6) A circlular capactitor of radius 3.7 m has a gap of 15 mm, and a charge of 36 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.04E-04 s
- b) 1.26E-04 s
- c) 1.52E-04 s
- d) 1.85E-04 s
- e) 2.24E-04 s

7) A square coil has sides that are L= 0.819 m long and is tightly wound with N=887 turns of wire. The resistance of the coil is R=5.69 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0618 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 4.414E+00 A
- b) 4.855E+00 A
- c) 5.341E+00 A
- d) 5.875E+00 A
- e) 6.462E+00 A

8) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 3.691E-01 &rad;
- b) 4.060E-01 &rad;
- c) 4.466E-01 &rad;
- d) 4.913E-01 &rad;
- e) 5.404E-01 &rad;

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

10) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.098 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.144E-07 N/m
^{2} - b) 2.358E-07 N/m
^{2} - c) 2.594E-07 N/m
^{2} - d) 2.854E-07 N/m
^{2} - e) 3.139E-07 N/m
^{2}

- 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

### T9 L0[edit]

1) 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

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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.51 kA, I

_{2}=1.32 kA, and I

_{3}=2.73 kA, take the path and evalulate the line integral,

:

- a) 1.331E-03 T-m
- b) 1.464E-03 T-m
- c) 1.611E-03 T-m
- d) 1.772E-03 T-m
- e) 1.949E-03 T-m

_{1}, I

_{2}, I

_{2}) are (1.38 A, 1.87 A, 2.03 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.134E-05 T - b) B
_{x}= 7.847E-05 T - c) B
_{x}= 8.632E-05 T - d) B
_{x}= 9.495E-05 T - e) B
_{x}= 1.044E-04 T

--(

*Answer & Why this question is different.*)

- a) 1.372E+01 cm
^{3}/s - b) 1.509E+01 cm
^{3}/s - c) 1.660E+01 cm
^{3}/s - d) 1.826E+01 cm
^{3}/s - e) 2.009E+01 cm
^{3}/s

6) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.230E-04 s
- b) 6.853E-04 s
- c) 7.538E-04 s
- d) 8.292E-04 s
- e) 9.121E-04 s

7) The output of an ac generator connected to an RLC series combination has a frequency of 910 Hz and an amplitude of 0.88 V;. If R =7 Ω, L= 6.80E-03H , and C=9.60E-04 F, what is the impedance?

- a) 3.575E+01 Ω
- b) 3.933E+01 Ω
- c) 4.326E+01 Ω
- d) 4.758E+01 Ω
- e) 5.234E+01 Ω

8) A 55 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 93 kW?

- a) 1.270E+02 km
- b) 1.397E+02 km
- c) 1.537E+02 km
- d) 1.690E+02 km
- e) 1.859E+02 km

9) What is the radiation force on an object that is 4.70E+11 m away from the sun and has cross-sectional area of 0.098 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 7.396E-08 N
- b) 8.136E-08 N
- c) 8.950E-08 N
- d) 9.845E-08 N
- e) 1.083E-07 N

10) A circlular capactitor of radius 4.3 m has a gap of 14 mm, and a charge of 15 μC. Compute the surface integral over an inner face of the capacitor.

- a) 8.75E-12 Vs
^{2}m^{-1} - b) 1.06E-11 Vs
^{2}m^{-1} - c) 1.28E-11 Vs
^{2}m^{-1} - d) 1.56E-11 Vs
^{2}m^{-1} - e) 1.88E-11 Vs
^{2}m^{-1}

11) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.95E-09 Tesla
- b) 4.97E-09 Tesla
- c) 6.26E-09 Tesla
- d) 7.88E-09 Tesla
- e) 9.92E-09 Tesla

#### T9 L1[edit]

--(

*Answer & Why this question is different.*)

- a) 1.892E+01 cm
^{3}/s - b) 2.081E+01 cm
^{3}/s - c) 2.289E+01 cm
^{3}/s - d) 2.518E+01 cm
^{3}/s - e) 2.770E+01 cm
^{3}/s

2) In an LC circuit, the self-inductance is 0.0424 H and the capacitance is 7.790E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.230E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.166E-04 s
- b) 6.783E-04 s
- c) 7.461E-04 s
- d) 8.207E-04 s
- e) 9.028E-04 s

3) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- a) 8.123E+00 Ω
- b) 8.935E+00 Ω
- c) 9.828E+00 Ω
- d) 1.081E+01 Ω
- e) 1.189E+01 Ω

4) What is the radiation force on an object that is 1.60E+11 m away from the sun and has cross-sectional area of 0.081 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.275E-07 N
- b) 5.803E-07 N
- c) 6.383E-07 N
- d) 7.021E-07 N
- e) 7.723E-07 N

5) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?

- a) 1.641E+02 km
- b) 1.805E+02 km
- c) 1.986E+02 km
- d) 2.184E+02 km
- e) 2.403E+02 km

6) A circlular capactitor of radius 3.2 m has a gap of 19 mm, and a charge of 46 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.78E-11 Vs
^{2}m^{-1} - b) 7.00E-11 Vs
^{2}m^{-1} - c) 8.48E-11 Vs
^{2}m^{-1} - d) 1.03E-10 Vs
^{2}m^{-1} - e) 1.25E-10 Vs
^{2}m^{-1}

_{1}, I

_{2}, I

_{2}) are (1.31 A, 1.32 A, 1.62 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.013E-05 T - b) B
_{x}= 6.614E-05 T - c) B
_{x}= 7.275E-05 T - d) B
_{x}= 8.003E-05 T - e) B
_{x}= 8.803E-05 T

8) 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

9) A circlular capactitor of radius 4.6 m has a gap of 18 mm, and a charge of 44 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 6.64E-09 Tesla
- b) 8.36E-09 Tesla
- c) 1.05E-08 Tesla
- d) 1.32E-08 Tesla
- e) 1.67E-08 Tesla

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- a) 8.204E-04 T-m
- b) 9.025E-04 T-m
- c) 9.927E-04 T-m
- d) 1.092E-03 T-m
- e) 1.201E-03 T-m

11) 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

#### T9 L2[edit]

1) 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

2) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?

- a) 2.094E+02 km
- b) 2.304E+02 km
- c) 2.534E+02 km
- d) 2.788E+02 km
- e) 3.066E+02 km

3) A circlular capactitor of radius 3.7 m has a gap of 8 mm, and a charge of 34 μC. Compute the surface integral over an inner face of the capacitor.

- a) 2.40E-11 Vs
^{2}m^{-1} - b) 2.91E-11 Vs
^{2}m^{-1} - c) 3.53E-11 Vs
^{2}m^{-1} - d) 4.27E-11 Vs
^{2}m^{-1} - e) 5.18E-11 Vs
^{2}m^{-1}

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.84 kA, I

_{2}=0.476 kA, and I

_{3}=1.57 kA, take the path and evalulate the line integral,

:

- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m

5) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- a) 2.708E+01 Ω
- b) 2.978E+01 Ω
- c) 3.276E+01 Ω
- d) 3.604E+01 Ω
- e) 3.964E+01 Ω

--(

*Answer & Why this question is different.*)

- a) 2.976E+01 cm
^{3}/s - b) 3.274E+01 cm
^{3}/s - c) 3.601E+01 cm
^{3}/s - d) 3.961E+01 cm
^{3}/s - e) 4.358E+01 cm
^{3}/s

_{1}, I

_{2}, I

_{2}) are (2.29 A, 1.77 A, 1.48 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 8.371E-05 T - b) B
_{x}= 9.208E-05 T - c) B
_{x}= 1.013E-04 T - d) B
_{x}= 1.114E-04 T - e) B
_{x}= 1.226E-04 T

8) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.30E-09 Tesla
- b) 4.15E-09 Tesla
- c) 5.23E-09 Tesla
- d) 6.58E-09 Tesla
- e) 8.29E-09 Tesla

9) What is the radiation force on an object that is 1.60E+11 m away from the sun and has cross-sectional area of 0.081 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.275E-07 N
- b) 5.803E-07 N
- c) 6.383E-07 N
- d) 7.021E-07 N
- e) 7.723E-07 N

10) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.761 T magnetic field is directed 44° away from the wire?

- a) 2.527E+00 N/m
- b) 2.780E+00 N/m
- c) 3.058E+00 N/m
- d) 3.364E+00 N/m
- e) 3.700E+00 N/m

11) In an LC circuit, the self-inductance is 0.0424 H and the capacitance is 7.790E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.230E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.166E-04 s
- b) 6.783E-04 s
- c) 7.461E-04 s
- d) 8.207E-04 s
- e) 9.028E-04 s

### T9 M0[edit]

- 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

2) 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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.58 kA, I

_{2}=1.27 kA, and I

_{3}=1.99 kA, take the path and evalulate the line integral,

:

- a) 3.770E-03 T-m
- b) 4.147E-03 T-m
- c) 4.562E-03 T-m
- d) 5.018E-03 T-m
- e) 5.520E-03 T-m

_{1}, I

_{2}, I

_{2}) are (1.03 A, 1.95 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.545E-05 T - b) B
_{x}= 7.200E-05 T - c) B
_{x}= 7.919E-05 T - d) B
_{x}= 8.711E-05 T - e) B
_{x}= 9.583E-05 T

5) The current through the windings of a solenoid with n= 2.970E+03 turns per meter is changing at a rate dI/dt=15 A/s. The solenoid is 89 cm long and has a cross-sectional diameter of 3.48 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.5 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 2.081E-04 V
- b) 2.289E-04 V
- c) 2.518E-04 V
- d) 2.770E-04 V
- e) 3.047E-04 V

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.96% of its maximum value if ε = 2.64 V , R = 6.37 Ω, and L = 7.33 H?

- a) -1.700E+00 s
- b) -1.870E+00 s
- c) -2.057E+00 s
- d) -2.262E+00 s
- e) -2.489E+00 s

7) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.29 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.288E+02
- b) Q = 1.482E+02
- c) Q = 1.704E+02
- d) Q = 1.959E+02
- e) Q = 2.253E+02

8) What is the radiation pressure on an object that is 2.20E+11 m away from the sun and has cross-sectional area of 0.082 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 3.131E-06 N/m
^{2} - b) 3.445E-06 N/m
^{2} - c) 3.789E-06 N/m
^{2} - d) 4.168E-06 N/m
^{2} - e) 4.585E-06 N/m
^{2}

9) A 46 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 78 kW?

- a) 1.563E+02 km
- b) 1.719E+02 km
- c) 1.891E+02 km
- d) 2.080E+02 km
- e) 2.288E+02 km

10) A circlular capactitor of radius 3.2 m has a gap of 12 mm, and a charge of 33 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.42E-04 s
- b) 1.73E-04 s
- c) 2.09E-04 s
- d) 2.53E-04 s
- e) 3.07E-04 s

11) A circlular capactitor of radius 3.9 m has a gap of 8 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 5.30E-09 Tesla
- b) 6.67E-09 Tesla
- c) 8.39E-09 Tesla
- d) 1.06E-08 Tesla
- e) 1.33E-08 Tesla

#### T9 M1[edit]

- 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

2) A circlular capactitor of radius 4 m has a gap of 14 mm, and a charge of 78 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 9.77E-09 Tesla
- b) 1.23E-08 Tesla
- c) 1.55E-08 Tesla
- d) 1.95E-08 Tesla
- e) 2.45E-08 Tesla

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- a) Q = 1.381E+02
- b) Q = 1.588E+02
- c) Q = 1.826E+02
- d) Q = 2.100E+02
- e) Q = 2.415E+02

4) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.019 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.392E-06 N/m
^{2} - b) 2.631E-06 N/m
^{2} - c) 2.894E-06 N/m
^{2} - d) 3.184E-06 N/m
^{2} - e) 3.502E-06 N/m
^{2}

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.53% of its maximum value if ε = 6.08 V , R = 1.88 Ω, and L = 4.67 H?

- a) -5.192E+00 s
- b) -5.711E+00 s
- c) -6.282E+00 s
- d) -6.910E+00 s
- e) -7.601E+00 s

6) The current through the windings of a solenoid with n= 2.760E+03 turns per meter is changing at a rate dI/dt=8 A/s. The solenoid is 74 cm long and has a cross-sectional diameter of 2.57 cm. A small coil consisting of N=32turns wraped in a circle of diameter 1.49 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.407E-04 V
- b) 1.548E-04 V
- c) 1.703E-04 V
- d) 1.873E-04 V
- e) 2.061E-04 V

7) A 56 kW radio transmitter on Earth sends it signal to a satellite 140 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 72 kW?

- a) 1.084E+02 km
- b) 1.193E+02 km
- c) 1.312E+02 km
- d) 1.443E+02 km
- e) 1.587E+02 km

8) A circlular capactitor of radius 3.3 m has a gap of 12 mm, and a charge of 63 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 9.94E-05 s
- b) 1.20E-04 s
- c) 1.46E-04 s
- d) 1.77E-04 s
- e) 2.14E-04 s

9) 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

_{1}, I

_{2}, I

_{2}) are (1.16 A, 2.46 A, 2.15 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 9.053E-05 T - b) B
_{x}= 9.959E-05 T - c) B
_{x}= 1.095E-04 T - d) B
_{x}= 1.205E-04 T - e) B
_{x}= 1.325E-04 T

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- a) 2.812E-03 T-m
- b) 3.093E-03 T-m
- c) 3.402E-03 T-m
- d) 3.742E-03 T-m
- e) 4.117E-03 T-m

#### T9 M2[edit]

1) What is the radiation pressure on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.082 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 9.568E-06 N/m
^{2} - b) 1.053E-05 N/m
^{2} - c) 1.158E-05 N/m
^{2} - d) 1.274E-05 N/m
^{2} - e) 1.401E-05 N/m
^{2}

2) A 48 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 80 kW?

- a) 1.678E+02 km
- b) 1.846E+02 km
- c) 2.031E+02 km
- d) 2.234E+02 km
- e) 2.457E+02 km

_{1}, I

_{2}, I

_{2}) are (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 3.394E-05 T - b) B
_{x}= 3.733E-05 T - c) B
_{x}= 4.106E-05 T - d) B
_{x}= 4.517E-05 T - e) B
_{x}= 4.969E-05 T

4) A circlular capactitor of radius 3.5 m has a gap of 14 mm, and a charge of 88 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 1.86E-08 Tesla
- b) 2.34E-08 Tesla
- c) 2.95E-08 Tesla
- d) 3.72E-08 Tesla
- e) 4.68E-08 Tesla

5) 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

6) A circlular capactitor of radius 3.4 m has a gap of 8 mm, and a charge of 64 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 3.62E-04 s
- b) 4.38E-04 s
- c) 5.31E-04 s
- d) 6.43E-04 s
- e) 7.79E-04 s

7) The current through the windings of a solenoid with n= 2.220E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 70 cm long and has a cross-sectional diameter of 2.73 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.45 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.066E-04 V
- b) 1.173E-04 V
- c) 1.290E-04 V
- d) 1.419E-04 V
- e) 1.561E-04 V

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.81 kA, I

_{2}=1.2 kA, and I

_{3}=1.84 kA, take the path and evalulate the line integral,

:

- a) 3.583E-03 T-m
- b) 3.941E-03 T-m
- c) 4.335E-03 T-m
- d) 4.769E-03 T-m
- e) 5.246E-03 T-m

9) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- a) Q = 1.381E+02
- b) Q = 1.588E+02
- c) Q = 1.826E+02
- d) Q = 2.100E+02
- e) Q = 2.415E+02

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.69% of its maximum value if ε = 4.79 V , R = 4.18 Ω, and L = 2.7 H?

- a) -8.773E-01 s
- b) -9.651E-01 s
- c) -1.062E+00 s
- d) -1.168E+00 s
- e) -1.284E+00 s

- 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

### T9 N0[edit]

1) 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

2) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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

3) Two loops of wire carry the same current of 14 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.835 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.607 m from the first (smaller) loopif the disance between the loops is 1.61 m?

- a) 6.099E-03 T
- b) 6.709E-03 T
- c) 7.380E-03 T
- d) 8.118E-03 T
- e) 8.930E-03 T

4) A solenoid has 5.640E+04 turns wound around a cylinder of diameter 1.35 cm and length 16 m. The current through the coils is 0.912 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.11 cm to z=+2.76 cm

- a) 1.068E-04 T-m
- b) 1.175E-04 T-m
- c) 1.292E-04 T-m
- d) 1.421E-04 T-m
- e) 1.563E-04 T-m

^{−1}.What is the induced electric fied at a distance 1.98 m from the axis at time t=0.049 s ?

- a) 1.605E-04 V/m
- b) 1.766E-04 V/m
- c) 1.942E-04 V/m
- d) 2.136E-04 V/m
- e) 2.350E-04 V/m

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.65% of its maximum value if ε = 3.62 V , R = 4.07 Ω, and L = 7.19 H?

- a) -2.476E+00 s
- b) -2.724E+00 s
- c) -2.996E+00 s
- d) -3.296E+00 s
- e) -3.625E+00 s

7) An ac generator produces an emf of amplitude 40 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 52 mF inductor?

- a) 7.783E-01 A
- b) 8.561E-01 A
- c) 9.417E-01 A
- d) 1.036E+00 A
- e) 1.140E+00 A

^{2}and separation d=6.40E-03 m is connected via a swith to a 83 Ω resistor and a battery of voltage V

_{0}=56 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.40E-03?

- a) 7.767E+03 V/m
- b) 8.544E+03 V/m
- c) 9.398E+03 V/m
- d) 1.034E+04 V/m
- e) 1.137E+04 V/m

9) What is the radiation force on an object that is 1.60E+11 m away from the sun and has cross-sectional area of 0.081 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 5.275E-07 N
- b) 5.803E-07 N
- c) 6.383E-07 N
- d) 7.021E-07 N
- e) 7.723E-07 N

10) A circlular capactitor of radius 3.1 m has a gap of 15 mm, and a charge of 73 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 6.62E-05 s
- b) 8.02E-05 s
- c) 9.71E-05 s
- d) 1.18E-04 s
- e) 1.43E-04 s

11) A circlular capactitor of radius 4.9 m has a gap of 18 mm, and a charge of 45 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 2.82E-09 Tesla
- b) 3.54E-09 Tesla
- c) 4.46E-09 Tesla
- d) 5.62E-09 Tesla
- e) 7.07E-09 Tesla

#### T9 N1[edit]

1) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.673E-07 N
- b) 2.940E-07 N
- c) 3.234E-07 N
- d) 3.558E-07 N
- e) 3.913E-07 N

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

3) 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

4) A solenoid has 5.160E+04 turns wound around a cylinder of diameter 1.55 cm and length 18 m. The current through the coils is 0.57 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.88 cm to z=+1.52 cm

- a) 6.788E-05 T-m
- b) 7.467E-05 T-m
- c) 8.213E-05 T-m
- d) 9.035E-05 T-m
- e) 9.938E-05 T-m

5) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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

6) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.95E-09 Tesla
- b) 4.97E-09 Tesla
- c) 6.26E-09 Tesla
- d) 7.88E-09 Tesla
- e) 9.92E-09 Tesla

7) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 43 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 1.95E-04 s
- b) 2.36E-04 s
- c) 2.86E-04 s
- d) 3.46E-04 s
- e) 4.20E-04 s

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.53% of its maximum value if ε = 6.08 V , R = 1.88 Ω, and L = 4.67 H?

- a) -5.192E+00 s
- b) -5.711E+00 s
- c) -6.282E+00 s
- d) -6.910E+00 s
- e) -7.601E+00 s

9) A long solenoid has a radius of 0.434 m and 41 turns per meter; its current decreases with time according to , where 9 A and 28 s^{−1}.What is the induced electric fied at a distance 2.28 m from the axis at time t=0.0392 s ?

- a) 1.479E-04 V/m
- b) 1.627E-04 V/m
- c) 1.789E-04 V/m
- d) 1.968E-04 V/m
- e) 2.165E-04 V/m

^{2}and separation d=7.60E-03 m is connected via a swith to a 80 Ω resistor and a battery of voltage V

_{0}=5 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.30E-04?

- a) 4.842E+02 V/m
- b) 5.326E+02 V/m
- c) 5.858E+02 V/m
- d) 6.444E+02 V/m
- e) 7.089E+02 V/m

11) Two loops of wire carry the same current of 99 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.798 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.394 m from the first (smaller) loopif the disance between the loops is 1.29 m?

- a) 8.291E-02 T
- b) 9.120E-02 T
- c) 1.003E-01 T
- d) 1.104E-01 T
- e) 1.214E-01 T

#### T9 N2[edit]

1) 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

2) A circlular capactitor of radius 4 m has a gap of 13 mm, and a charge of 89 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.62E-09 Tesla
- b) 1.09E-08 Tesla
- c) 1.37E-08 Tesla
- d) 1.72E-08 Tesla
- e) 2.17E-08 Tesla

3) Two loops of wire carry the same current of 67 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.847 m while the other has a radius of 1.15 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.408 m from the first (smaller) loopif the disance between the loops is 1.15 m?

- a) 4.799E-02 T
- b) 5.278E-02 T
- c) 5.806E-02 T
- d) 6.387E-02 T
- e) 7.026E-02 T

4) A long solenoid has a radius of 0.806 m and 41 turns per meter; its current decreases with time according to , where 2 A and 21 s^{−1}.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0701 s ?

- a) 6.040E-05 V/m
- b) 6.644E-05 V/m
- c) 7.309E-05 V/m
- d) 8.039E-05 V/m
- e) 8.843E-05 V/m

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 2.16% of its maximum value if ε = 4.79 V , R = 4.37 Ω, and L = 5.29 H?

- a) -2.110E+00 s
- b) -2.321E+00 s
- c) -2.553E+00 s
- d) -2.809E+00 s
- e) -3.090E+00 s

6) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) 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) A solenoid has 4.380E+04 turns wound around a cylinder of diameter 1.77 cm and length 16 m. The current through the coils is 0.916 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.39 cm to z=+4.26 cm

- a) 2.478E-04 T-m
- b) 2.726E-04 T-m
- c) 2.998E-04 T-m
- d) 3.298E-04 T-m
- e) 3.628E-04 T-m

8) What is the radiation force on an object that is 2.00E+11 m away from the sun and has cross-sectional area of 0.053 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.673E-07 N
- b) 2.940E-07 N
- c) 3.234E-07 N
- d) 3.558E-07 N
- e) 3.913E-07 N

9) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 71 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.65E-04 s
- b) 2.00E-04 s
- c) 2.43E-04 s
- d) 2.94E-04 s
- e) 3.56E-04 s

^{2}and separation d=7.60E-03 m is connected via a swith to a 80 Ω resistor and a battery of voltage V

_{0}=5 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.30E-04?

- a) 4.842E+02 V/m
- b) 5.326E+02 V/m
- c) 5.858E+02 V/m
- d) 6.444E+02 V/m
- e) 7.089E+02 V/m

11) An ac generator produces an emf of amplitude 58 V at a frequency of 99 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF inductor?

- a) 2.422E+00 A
- b) 2.664E+00 A
- c) 2.930E+00 A
- d) 3.224E+00 A
- e) 3.546E+00 A

### T9 O0[edit]

1) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

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) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.76 cm to z=+1.99 cm

- a) 2.762E-04 T-m
- b) 3.038E-04 T-m
- c) 3.342E-04 T-m
- d) 3.676E-04 T-m
- e) 4.043E-04 T-m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.89 kA, I

_{2}=1.19 kA, and I

_{3}=3.5 kA, take the path and evalulate the line integral,

:

- a) 6.535E-03 T-m
- b) 7.188E-03 T-m
- c) 7.907E-03 T-m
- d) 8.697E-03 T-m
- e) 9.567E-03 T-m

5) A square coil has sides that are L= 0.568 m long and is tightly wound with N=482 turns of wire. The resistance of the coil is R=8.78 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0544 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 6.581E-01 A
- b) 7.239E-01 A
- c) 7.963E-01 A
- d) 8.759E-01 A
- e) 9.635E-01 A

6) In an LC circuit, the self-inductance is 0.0237 H and the capacitance is 6.140E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 8.260E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 4.093E-04 s
- b) 4.502E-04 s
- c) 4.952E-04 s
- d) 5.447E-04 s
- e) 5.992E-04 s

7) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 Ω power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.773E+02 A
- b) 5.250E+02 A
- c) 5.775E+02 A
- d) 6.353E+02 A
- e) 6.988E+02 A

8) A 59 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.517E+02 km
- b) 1.669E+02 km
- c) 1.835E+02 km
- d) 2.019E+02 km
- e) 2.221E+02 km

^{2}and separation d=5.40E-03 m is connected via a swith to a 10 Ω resistor and a battery of voltage V

_{0}=12 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.00E-04?

- a) 1.841E-02 A
- b) 2.026E-02 A
- c) 2.228E-02 A
- d) 2.451E-02 A
- e) 2.696E-02 A

10) A circlular capactitor of radius 4.7 m has a gap of 16 mm, and a charge of 12 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 6.62E-10 Tesla
- b) 8.33E-10 Tesla
- c) 1.05E-09 Tesla
- d) 1.32E-09 Tesla
- e) 1.66E-09 Tesla

11) A circlular capactitor of radius 3.8 m has a gap of 14 mm, and a charge of 83 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.11E-11 Vs
^{2}m^{-1} - b) 8.61E-11 Vs
^{2}m^{-1} - c) 1.04E-10 Vs
^{2}m^{-1} - d) 1.26E-10 Vs
^{2}m^{-1} - e) 1.53E-10 Vs
^{2}m^{-1}

#### T9 O1[edit]

1) A step-down transformer steps 19 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 6 A of currentWhat is the output current (at the 260 V side ?)

- a) 3.294E+02 A
- b) 3.624E+02 A
- c) 3.986E+02 A
- d) 4.385E+02 A
- e) 4.823E+02 A

2) A 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.003E+02 km
- b) 1.103E+02 km
- c) 1.213E+02 km
- d) 1.335E+02 km
- e) 1.468E+02 km

3) A circlular capactitor of radius 4.7 m has a gap of 16 mm, and a charge of 12 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 6.62E-10 Tesla
- b) 8.33E-10 Tesla
- c) 1.05E-09 Tesla
- d) 1.32E-09 Tesla
- e) 1.66E-09 Tesla

4) In an LC circuit, the self-inductance is 0.0776 H and the capacitance is 6.940E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.400E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 1.048E-03 s
- b) 1.153E-03 s
- c) 1.268E-03 s
- d) 1.395E-03 s
- e) 1.534E-03 s

5) A square coil has sides that are L= 0.219 m long and is tightly wound with N=508 turns of wire. The resistance of the coil is R=8.42 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0619 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 1.791E-01 A
- b) 1.970E-01 A
- c) 2.167E-01 A
- d) 2.384E-01 A
- e) 2.622E-01 A

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.89 kA, I

_{2}=1.19 kA, and I

_{3}=3.5 kA, take the path and evalulate the line integral,

:

- a) 6.535E-03 T-m
- b) 7.188E-03 T-m
- c) 7.907E-03 T-m
- d) 8.697E-03 T-m
- e) 9.567E-03 T-m

^{2}and separation d=7.10E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V

_{0}=25 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.30E-03?

- a) 2.998E-03 A
- b) 3.298E-03 A
- c) 3.628E-03 A
- d) 3.991E-03 A
- e) 4.390E-03 A

8) A solenoid has 7.170E+04 turns wound around a cylinder of diameter 1.56 cm and length 9 m. The current through the coils is 0.391 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.73 cm to z=+2.56 cm

- a) 1.414E-04 T-m
- b) 1.556E-04 T-m
- c) 1.711E-04 T-m
- d) 1.882E-04 T-m
- e) 2.071E-04 T-m

9) A circlular capactitor of radius 4.8 m has a gap of 17 mm, and a charge of 73 μC. Compute the surface integral over an inner face of the capacitor.

- a) 9.17E-11 Vs
^{2}m^{-1} - b) 1.11E-10 Vs
^{2}m^{-1} - c) 1.35E-10 Vs
^{2}m^{-1} - d) 1.63E-10 Vs
^{2}m^{-1} - e) 1.98E-10 Vs
^{2}m^{-1}

10) 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

11) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

#### T9 O2[edit]

1) A square coil has sides that are L= 0.561 m long and is tightly wound with N=930 turns of wire. The resistance of the coil is R=5.08 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0548 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 2.609E+00 A
- b) 2.870E+00 A
- c) 3.157E+00 A
- d) 3.473E+00 A
- e) 3.820E+00 A

2) A circlular capactitor of radius 4.8 m has a gap of 9 mm, and a charge of 53 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.26E-09 Tesla
- b) 4.11E-09 Tesla
- c) 5.17E-09 Tesla
- d) 6.51E-09 Tesla
- e) 8.19E-09 Tesla

3) In an LC circuit, the self-inductance is 0.025 H and the capacitance is 3.530E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 7.770E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 3.856E-04 s
- b) 4.242E-04 s
- c) 4.666E-04 s
- d) 5.133E-04 s
- e) 5.646E-04 s

4) A 56 kW radio transmitter on Earth sends it signal to a satellite 140 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 72 kW?

- a) 1.084E+02 km
- b) 1.193E+02 km
- c) 1.312E+02 km
- d) 1.443E+02 km
- e) 1.587E+02 km

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.78 kA, I

_{2}=2.61 kA, and I

_{3}=3.76 kA, take the path and evalulate the line integral,

:

- a) 4.939E-03 T-m
- b) 5.432E-03 T-m
- c) 5.976E-03 T-m
- d) 6.573E-03 T-m
- e) 7.231E-03 T-m

6) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

^{2}and separation d=8.60E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V

_{0}=36 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?

- a) 8.288E-02 A
- b) 9.117E-02 A
- c) 1.003E-01 A
- d) 1.103E-01 A
- e) 1.213E-01 A

8) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.49 cm to z=+3.61 cm

- a) 4.895E-04 T-m
- b) 5.384E-04 T-m
- c) 5.923E-04 T-m
- d) 6.515E-04 T-m
- e) 7.167E-04 T-m

9) A step-down transformer steps 9 kV down to 160 V. The high-voltage input is provided by a 260 Ω power line that carries 7 A of currentWhat is the output current (at the 160 V side ?)

- a) 3.938E+02 A
- b) 4.331E+02 A
- c) 4.764E+02 A
- d) 5.241E+02 A
- e) 5.765E+02 A

10) A circlular capactitor of radius 4.4 m has a gap of 16 mm, and a charge of 41 μC. Compute the surface integral over an inner face of the capacitor.

- a) 3.51E-11 Vs
^{2}m^{-1} - b) 4.25E-11 Vs
^{2}m^{-1} - c) 5.15E-11 Vs
^{2}m^{-1} - d) 6.24E-11 Vs
^{2}m^{-1} - e) 7.56E-11 Vs
^{2}m^{-1}

11) 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

### T9 P0[edit]

1) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

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) Two parallel wires each carry a 8.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.66 cm, 1.4 cm), while the other is located at (5.64 cm, 5.66 cm). What is the force per unit length between the wires?

- a) 2.449E-10 N/m
- b) 2.694E-10 N/m
- c) 2.963E-10 N/m
- d) 3.260E-10 N/m
- e) 3.586E-10 N/m

_{1}, I

_{2}, I

_{2}) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 4.028E-05 T - b) B
_{y}= 4.431E-05 T - c) B
_{y}= 4.874E-05 T - d) B
_{y}= 5.361E-05 T - e) B
_{y}= 5.897E-05 T

5) A square coil has sides that are L= 0.568 m long and is tightly wound with N=482 turns of wire. The resistance of the coil is R=8.78 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0544 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 6.581E-01 A
- b) 7.239E-01 A
- c) 7.963E-01 A
- d) 8.759E-01 A
- e) 9.635E-01 A

6) A washer has an inner diameter of 2.36 cm and an outer diamter of 4.5 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.097E+00 cm
^{3} - b) 1.207E+00 cm
^{3} - c) 1.328E+00 cm
^{3} - d) 1.460E+00 cm
^{3} - e) 1.606E+00 cm
^{3}

7) The output of an ac generator connected to an RLC series combination has a frequency of 720 Hz and an amplitude of 0.63 V;. If R =5 Ω, L= 4.20E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.081E+00 &rad;
- b) 1.189E+00 &rad;
- c) 1.308E+00 &rad;
- d) 1.439E+00 &rad;
- e) 1.583E+00 &rad;

^{2}and separation d=8.00E-03 m is connected via a swith to a 6 Ω resistor and a battery of voltage V

_{0}=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=6.60E-05?

- a) 7.253E+03 V/m
- b) 7.978E+03 V/m
- c) 8.776E+03 V/m
- d) 9.653E+03 V/m
- e) 1.062E+04 V/m

^{2}and separation d=3.40E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?

- a) 7.693E+01 V
- b) 8.463E+01 V
- c) 9.309E+01 V
- d) 1.024E+02 V
- e) 1.126E+02 V

10) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.30E-09 Tesla
- b) 4.15E-09 Tesla
- c) 5.23E-09 Tesla
- d) 6.58E-09 Tesla
- e) 8.29E-09 Tesla

11) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 43 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 1.95E-04 s
- b) 2.36E-04 s
- c) 2.86E-04 s
- d) 3.46E-04 s
- e) 4.20E-04 s

#### T9 P1[edit]

1) Two parallel wires each carry a 6.26 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.4 cm, 1.42 cm), while the other is located at (5.56 cm, 4.99 cm). What is the force per unit length between the wires?

- a) 1.283E-10 N/m
- b) 1.411E-10 N/m
- c) 1.552E-10 N/m
- d) 1.708E-10 N/m
- e) 1.878E-10 N/m

_{1}, I

_{2}, I

_{2}) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 4.028E-05 T - b) B
_{y}= 4.431E-05 T - c) B
_{y}= 4.874E-05 T - d) B
_{y}= 5.361E-05 T - e) B
_{y}= 5.897E-05 T

3) A circlular capactitor of radius 4.1 m has a gap of 11 mm, and a charge of 51 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 3.40E-04 s
- b) 4.12E-04 s
- c) 4.99E-04 s
- d) 6.05E-04 s
- e) 7.33E-04 s

4) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

^{2}and separation d=6.40E-03 m is connected via a swith to a 54 Ω resistor and a battery of voltage V

_{0}=83 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.50E-03?

- a) 6.111E+01 V
- b) 6.722E+01 V
- c) 7.395E+01 V
- d) 8.134E+01 V
- e) 8.947E+01 V

6) A square coil has sides that are L= 0.888 m long and is tightly wound with N=604 turns of wire. The resistance of the coil is R=4.31 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0441 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 3.661E+00 A
- b) 4.028E+00 A
- c) 4.430E+00 A
- d) 4.873E+00 A
- e) 5.361E+00 A

7) A washer has an inner diameter of 2.42 cm and an outer diamter of 4.53 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 8.932E-01 cm
^{3} - b) 9.825E-01 cm
^{3} - c) 1.081E+00 cm
^{3} - d) 1.189E+00 cm
^{3} - e) 1.308E+00 cm
^{3}

8) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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) A circlular capactitor of radius 4 m has a gap of 13 mm, and a charge of 89 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.62E-09 Tesla
- b) 1.09E-08 Tesla
- c) 1.37E-08 Tesla
- d) 1.72E-08 Tesla
- e) 2.17E-08 Tesla

^{2}and separation d=3.50E-03 m is connected via a swith to a 28 Ω resistor and a battery of voltage V

_{0}=16 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=6.00E-04?

- a) 3.751E+03 V/m
- b) 4.126E+03 V/m
- c) 4.539E+03 V/m
- d) 4.993E+03 V/m
- e) 5.492E+03 V/m

11) 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

#### T9 P2[edit]

1) A washer has an inner diameter of 2.38 cm and an outer diamter of 4.83 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.118E+00 cm
^{3} - b) 1.229E+00 cm
^{3} - c) 1.352E+00 cm
^{3} - d) 1.487E+00 cm
^{3} - e) 1.636E+00 cm
^{3}

2) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

3) A circlular capactitor of radius 3.1 m has a gap of 15 mm, and a charge of 73 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 6.62E-05 s
- b) 8.02E-05 s
- c) 9.71E-05 s
- d) 1.18E-04 s
- e) 1.43E-04 s

4) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

5) 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

6) A square coil has sides that are L= 0.568 m long and is tightly wound with N=482 turns of wire. The resistance of the coil is R=8.78 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0544 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 6.581E-01 A
- b) 7.239E-01 A
- c) 7.963E-01 A
- d) 8.759E-01 A
- e) 9.635E-01 A

^{2}and separation d=8.60E-03 m is connected via a swith to a 28 Ω resistor and a battery of voltage V

_{0}=45 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.30E-04?

- a) 3.223E+03 V/m
- b) 3.546E+03 V/m
- c) 3.900E+03 V/m
- d) 4.290E+03 V/m
- e) 4.719E+03 V/m

8) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 55 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.95E-09 Tesla
- b) 4.97E-09 Tesla
- c) 6.26E-09 Tesla
- d) 7.88E-09 Tesla
- e) 9.92E-09 Tesla

_{1}, I

_{2}, I

_{2}) are (2.49 A, 1.32 A, 1.75 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 8.962E-05 T - b) B
_{y}= 9.858E-05 T - c) B
_{y}= 1.084E-04 T - d) B
_{y}= 1.193E-04 T - e) B
_{y}= 1.312E-04 T

^{2}and separation d=5.00E-03 m is connected via a swith to a 41 Ω resistor and a battery of voltage V

_{0}=92 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=4.50E-04?

- a) 6.755E+01 V
- b) 7.431E+01 V
- c) 8.174E+01 V
- d) 8.991E+01 V
- e) 9.890E+01 V

11) Two parallel wires each carry a 7.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.98 cm, 0.969 cm), while the other is located at (5.13 cm, 5.53 cm). What is the force per unit length between the wires?

- a) 1.840E-10 N/m
- b) 2.024E-10 N/m
- c) 2.227E-10 N/m
- d) 2.449E-10 N/m
- e) 2.694E-10 N/m

### T9 Q0[edit]

1) 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

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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- a) 2.812E-03 T-m
- b) 3.093E-03 T-m
- c) 3.402E-03 T-m
- d) 3.742E-03 T-m
- e) 4.117E-03 T-m

4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.277E+05 A
- b) 3.604E+05 A
- c) 3.965E+05 A
- d) 4.361E+05 A
- e) 4.797E+05 A

5) A square coil has sides that are L= 0.458 m long and is tightly wound with N=742 turns of wire. The resistance of the coil is R=6.81 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0559 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 1.056E+00 A
- b) 1.161E+00 A
- c) 1.278E+00 A
- d) 1.405E+00 A
- e) 1.546E+00 A

6) A washer has an inner diameter of 2.3 cm and an outer diamter of 4.44 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.089E+00 cm
^{3} - b) 1.198E+00 cm
^{3} - c) 1.318E+00 cm
^{3} - d) 1.449E+00 cm
^{3} - e) 1.594E+00 cm
^{3}

7) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- a) Q = 1.238E+02
- b) Q = 1.424E+02
- c) Q = 1.637E+02
- d) Q = 1.883E+02
- e) Q = 2.165E+02

8) What is the radiation pressure on an object that is 8.30E+11 m away from the sun and has cross-sectional area of 0.097 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.928E-07 N/m
^{2} - b) 3.221E-07 N/m
^{2} - c) 3.543E-07 N/m
^{2} - d) 3.898E-07 N/m
^{2} - e) 4.287E-07 N/m
^{2}

^{2}and separation d=8.70E-03 m is connected via a swith to a 98 Ω resistor and a battery of voltage V

_{0}=67 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.80E-03?

- a) 5.050E+03 V/m
- b) 5.555E+03 V/m
- c) 6.111E+03 V/m
- d) 6.722E+03 V/m
- e) 7.394E+03 V/m

10) A circlular capactitor of radius 4 m has a gap of 13 mm, and a charge of 89 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.62E-09 Tesla
- b) 1.09E-08 Tesla
- c) 1.37E-08 Tesla
- d) 1.72E-08 Tesla
- e) 2.17E-08 Tesla

11) A circlular capactitor of radius 3.4 m has a gap of 15 mm, and a charge of 63 μC. What is the electric field between the plates?

- a) 1.62E+05 N/C (or V/m)
- b) 1.96E+05 N/C (or V/m)
- c) 2.37E+05 N/C (or V/m)
- d) 2.88E+05 N/C (or V/m)
- e) 3.48E+05 N/C (or V/m)

#### T9 Q1[edit]

1) 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

2) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 μC. What is the electric field between the plates?

- a) 2.04E+04 N/C (or V/m)
- b) 2.47E+04 N/C (or V/m)
- c) 3.00E+04 N/C (or V/m)
- d) 3.63E+04 N/C (or V/m)
- e) 4.40E+04 N/C (or V/m)

^{2}and separation d=3.10E-03 m is connected via a swith to a 68 Ω resistor and a battery of voltage V

_{0}=73 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=8.50E-04?

- a) 1.579E+04 V/m
- b) 1.737E+04 V/m
- c) 1.911E+04 V/m
- d) 2.102E+04 V/m
- e) 2.312E+04 V/m

4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.259 m and 0.575 T, then how much current (in the z-direction) flows through a circle of radius 0.191 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.492E+05 A
- b) 3.841E+05 A
- c) 4.225E+05 A
- d) 4.648E+05 A
- e) 5.113E+05 A

5) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 5.00E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.494E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

6) A circlular capactitor of radius 4.9 m has a gap of 18 mm, and a charge of 45 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 2.82E-09 Tesla
- b) 3.54E-09 Tesla
- c) 4.46E-09 Tesla
- d) 5.62E-09 Tesla
- e) 7.07E-09 Tesla

7) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.098 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.144E-07 N/m
^{2} - b) 2.358E-07 N/m
^{2} - c) 2.594E-07 N/m
^{2} - d) 2.854E-07 N/m
^{2} - e) 3.139E-07 N/m
^{2}

8) A square coil has sides that are L= 0.561 m long and is tightly wound with N=930 turns of wire. The resistance of the coil is R=5.08 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0548 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 2.609E+00 A
- b) 2.870E+00 A
- c) 3.157E+00 A
- d) 3.473E+00 A
- e) 3.820E+00 A

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.57 kA, I

_{2}=0.708 kA, and I

_{3}=1.48 kA, take the path and evalulate the line integral,

:

- a) 4.200E-03 T-m
- b) 4.620E-03 T-m
- c) 5.082E-03 T-m
- d) 5.590E-03 T-m
- e) 6.149E-03 T-m

10) A washer has an inner diameter of 2.75 cm and an outer diamter of 4.87 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 7.754E-01 cm
^{3} - b) 8.530E-01 cm
^{3} - c) 9.383E-01 cm
^{3} - d) 1.032E+00 cm
^{3} - e) 1.135E+00 cm
^{3}

11) 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

#### T9 Q2[edit]

1) 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

2) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.315E-07 N/m
^{2} - b) 2.547E-07 N/m
^{2} - c) 2.801E-07 N/m
^{2} - d) 3.082E-07 N/m
^{2} - e) 3.390E-07 N/m
^{2}

3) A square coil has sides that are L= 0.561 m long and is tightly wound with N=930 turns of wire. The resistance of the coil is R=5.08 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0548 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 2.609E+00 A
- b) 2.870E+00 A
- c) 3.157E+00 A
- d) 3.473E+00 A
- e) 3.820E+00 A

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.38 kA, I

_{2}=1.58 kA, and I

_{3}=4.31 kA, take the path and evalulate the line integral,

:

- a) 4.386E-03 T-m
- b) 4.825E-03 T-m
- c) 5.307E-03 T-m
- d) 5.838E-03 T-m
- e) 6.421E-03 T-m

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) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.568 m and 0.214 T, then how much current (in the z-direction) flows through a circle of radius 0.387 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.382E+05 A
- b) 3.720E+05 A
- c) 4.092E+05 A
- d) 4.502E+05 A
- e) 4.952E+05 A

7) A circlular capactitor of radius 4.8 m has a gap of 14 mm, and a charge of 75 μC. What is the electric field between the plates?

- a) 5.43E+04 N/C (or V/m)
- b) 6.58E+04 N/C (or V/m)
- c) 7.97E+04 N/C (or V/m)
- d) 9.66E+04 N/C (or V/m)
- e) 1.17E+05 N/C (or V/m)

^{2}and separation d=7.60E-03 m is connected via a swith to a 80 Ω resistor and a battery of voltage V

_{0}=5 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=2.30E-04?

- a) 4.842E+02 V/m
- b) 5.326E+02 V/m
- c) 5.858E+02 V/m
- d) 6.444E+02 V/m
- e) 7.089E+02 V/m

9) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 9.395E+01
- b) Q = 1.080E+02
- c) Q = 1.242E+02
- d) Q = 1.429E+02
- e) Q = 1.643E+02

10) A circlular capactitor of radius 4.3 m has a gap of 10 mm, and a charge of 46 μC. The capacitor is discharged through a 5 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 8.32E-09 Tesla
- b) 1.05E-08 Tesla
- c) 1.32E-08 Tesla
- d) 1.66E-08 Tesla
- e) 2.09E-08 Tesla

11) A washer has an inner diameter of 2.23 cm and an outer diamter of 4.18 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.351E+00 cm
^{3} - b) 1.486E+00 cm
^{3} - c) 1.635E+00 cm
^{3} - d) 1.798E+00 cm
^{3} - e) 1.978E+00 cm
^{3}

### T9 R0[edit]

1) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.208E-05 T
- b) 1.329E-05 T
- c) 1.462E-05 T
- d) 1.608E-05 T
- e) 1.769E-05 T

_{1}, I

_{2}, I

_{2}) are (2.13 A, 1.35 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.282E-05 T - b) B
_{x}= 6.910E-05 T - c) B
_{x}= 7.601E-05 T - d) B
_{x}= 8.361E-05 T - e) B
_{x}= 9.198E-05 T

5) Calculate the motional emf induced along a 30.3 km conductor moving at an orbital speed of 7.76 km/s perpendicular to Earth's 5.100E-05 Tesla magnetic field.

- a) 1.090E+04 V
- b) 1.199E+04 V
- c) 1.319E+04 V
- d) 1.451E+04 V
- e) 1.596E+04 V

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.67% of its maximum value if ε = 5.07 V , R = 7.8 Ω, and L = 4.39 H?

- a) -1.047E+00 s
- b) -1.152E+00 s
- c) -1.267E+00 s
- d) -1.393E+00 s
- e) -1.533E+00 s

7) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =4 Ω, L= 4.60E-03H , and C=8.10E-04 F, respectively. What is the amplitude of the current?

- a) 1.417E-01 A
- b) 1.559E-01 A
- c) 1.715E-01 A
- d) 1.886E-01 A
- e) 2.075E-01 A

^{2}and separation d=4.60E-03 m is connected via a swith to a 96 Ω resistor and a battery of voltage V

_{0}=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=3.30E-04?

- a) 7.315E-02 A
- b) 8.047E-02 A
- c) 8.851E-02 A
- d) 9.737E-02 A
- e) 1.071E-01 A

9) What is the radiation force on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.096 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 4.373E-08 N
- b) 4.810E-08 N
- c) 5.291E-08 N
- d) 5.820E-08 N
- e) 6.402E-08 N

10) A circlular capactitor of radius 4.9 m has a gap of 11 mm, and a charge of 85 μC. What is the electric field between the plates?

- a) 1.27E+05 N/C (or V/m)
- b) 1.54E+05 N/C (or V/m)
- c) 1.87E+05 N/C (or V/m)
- d) 2.26E+05 N/C (or V/m)
- e) 2.74E+05 N/C (or V/m)

11) A circlular capactitor of radius 4.4 m has a gap of 17 mm, and a charge of 65 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.56E-11 Vs
^{2}m^{-1} - b) 6.74E-11 Vs
^{2}m^{-1} - c) 8.17E-11 Vs
^{2}m^{-1} - d) 9.90E-11 Vs
^{2}m^{-1} - e) 1.20E-10 Vs
^{2}m^{-1}

#### T9 R1[edit]

1) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 8.969E-08 N
- b) 9.866E-08 N
- c) 1.085E-07 N
- d) 1.194E-07 N
- e) 1.313E-07 N

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =4 Ω, L= 4.60E-03H , and C=8.10E-04 F, respectively. What is the amplitude of the current?

- a) 1.417E-01 A
- b) 1.559E-01 A
- c) 1.715E-01 A
- d) 1.886E-01 A
- e) 2.075E-01 A

3) A circlular capactitor of radius 3.5 m has a gap of 14 mm, and a charge of 21 μC. What is the electric field between the plates?

- a) 6.16E+04 N/C (or V/m)
- b) 7.47E+04 N/C (or V/m)
- c) 9.05E+04 N/C (or V/m)
- d) 1.10E+05 N/C (or V/m)
- e) 1.33E+05 N/C (or V/m)

4) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.44% of its maximum value if ε = 5.95 V , R = 7.26 Ω, and L = 1.29 H?

- a) -3.114E-01 s
- b) -3.425E-01 s
- c) -3.767E-01 s
- d) -4.144E-01 s
- e) -4.559E-01 s

^{2}and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?

- a) 8.320E-02 A
- b) 9.152E-02 A
- c) 1.007E-01 A
- d) 1.107E-01 A
- e) 1.218E-01 A

7) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T

8) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

9) Calculate the motional emf induced along a 27.5 km conductor moving at an orbital speed of 7.86 km/s perpendicular to Earth's 4.520E-05 Tesla magnetic field.

- a) 8.074E+03 V
- b) 8.882E+03 V
- c) 9.770E+03 V
- d) 1.075E+04 V
- e) 1.182E+04 V

10) A circlular capactitor of radius 4.3 m has a gap of 19 mm, and a charge of 83 μC. Compute the surface integral over an inner face of the capacitor.

- a) 5.87E-11 Vs
^{2}m^{-1} - b) 7.11E-11 Vs
^{2}m^{-1} - c) 8.61E-11 Vs
^{2}m^{-1} - d) 1.04E-10 Vs
^{2}m^{-1} - e) 1.26E-10 Vs
^{2}m^{-1}

_{1}, I

_{2}, I

_{2}) are (1.73 A, 1.37 A, 1.65 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.171E-05 T - b) B
_{x}= 6.788E-05 T - c) B
_{x}= 7.467E-05 T - d) B
_{x}= 8.213E-05 T - e) B
_{x}= 9.035E-05 T

#### T9 R2[edit]

_{1}in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S

_{1}is opened as as S

_{2}is closed. How long will it take for the energy stored in the inductor to be reduced to 1.44% of its maximum value if ε = 5.95 V , R = 7.26 Ω, and L = 1.29 H?

- a) -3.114E-01 s
- b) -3.425E-01 s
- c) -3.767E-01 s
- d) -4.144E-01 s
- e) -4.559E-01 s

2) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

^{2}and separation d=9.00E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V

_{0}=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.60E-04?

- a) 6.394E-02 A
- b) 7.033E-02 A
- c) 7.736E-02 A
- d) 8.510E-02 A
- e) 9.361E-02 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.143E-01 A
- b) 1.257E-01 A
- c) 1.383E-01 A
- d) 1.521E-01 A
- e) 1.673E-01 A

5) A circlular capactitor of radius 4.3 m has a gap of 7 mm, and a charge of 47 μC. What is the electric field between the plates?

- a) 7.54E+04 N/C (or V/m)
- b) 9.14E+04 N/C (or V/m)
- c) 1.11E+05 N/C (or V/m)
- d) 1.34E+05 N/C (or V/m)
- e) 1.63E+05 N/C (or V/m)

6) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) 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

7) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.063E-08 N
- b) 2.270E-08 N
- c) 2.497E-08 N
- d) 2.746E-08 N
- e) 3.021E-08 N

_{1}, I

_{2}, I

_{2}) are (1.31 A, 1.32 A, 1.62 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.013E-05 T - b) B
_{x}= 6.614E-05 T - c) B
_{x}= 7.275E-05 T - d) B
_{x}= 8.003E-05 T - e) B
_{x}= 8.803E-05 T

9) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 3.33 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 2.202E-05 T
- b) 2.422E-05 T
- c) 2.664E-05 T
- d) 2.930E-05 T
- e) 3.223E-05 T

10) Calculate the motional emf induced along a 21.3 km conductor moving at an orbital speed of 7.75 km/s perpendicular to Earth's 5.320E-05 Tesla magnetic field.

- a) 6.598E+03 V
- b) 7.258E+03 V
- c) 7.984E+03 V
- d) 8.782E+03 V
- e) 9.660E+03 V

11) A circlular capactitor of radius 4.3 m has a gap of 11 mm, and a charge of 66 μC. Compute the surface integral over an inner face of the capacitor.

- a) 6.85E-11 Vs
^{2}m^{-1} - b) 8.29E-11 Vs
^{2}m^{-1} - c) 1.00E-10 Vs
^{2}m^{-1} - d) 1.22E-10 Vs
^{2}m^{-1} - e) 1.47E-10 Vs
^{2}m^{-1}

### T9 S0[edit]

- 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

2) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

_{1}, I

_{2}, I

_{2}) are (1.07 A, 1.32 A, 2.03 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 4.028E-05 T - b) B
_{y}= 4.431E-05 T - c) B
_{y}= 4.874E-05 T - d) B
_{y}= 5.361E-05 T - e) B
_{y}= 5.897E-05 T

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 536 mA, the net magnetic field is measured to be 1.47 T. What is the magnetic susceptibility for this case?

- a) 9.310E+02
- b) 1.024E+03
- c) 1.126E+03
- d) 1.239E+03
- e) 1.363E+03

5) The current through the windings of a solenoid with n= 2.260E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 62 cm long and has a cross-sectional diameter of 3.37 cm. A small coil consisting of N=23turns wraped in a circle of diameter 1.7 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.215E-04 V
- b) 1.337E-04 V
- c) 1.470E-04 V
- d) 1.617E-04 V
- e) 1.779E-04 V

6) An induced emf of 7.48V is measured across a coil of 95 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.33A in 0.304s. What is the self-inductance of the coil?

- a) 2.914E-01 H
- b) 3.205E-01 H
- c) 3.526E-01 H
- d) 3.878E-01 H
- e) 4.266E-01 H

7) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 Ω, L= 7.70E-03H , and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.329E+00 &rad;
- b) 1.462E+00 &rad;
- c) 1.608E+00 &rad;
- d) 1.769E+00 &rad;
- e) 1.946E+00 &rad;

8) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?

- a) 1.418E+02 km
- b) 1.560E+02 km
- c) 1.716E+02 km
- d) 1.887E+02 km
- e) 2.076E+02 km

^{2}and separation d=6.60E-03 m is connected via a swith to a 20 Ω resistor and a battery of voltage V

_{0}=59 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.70E-04?

- a) 8.138E-01 A
- b) 8.952E-01 A
- c) 9.847E-01 A
- d) 1.083E+00 A
- e) 1.191E+00 A

10) A circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 62 μC. What is the electric field between the plates?

- a) 9.50E+04 N/C (or V/m)
- b) 1.15E+05 N/C (or V/m)
- c) 1.39E+05 N/C (or V/m)
- d) 1.69E+05 N/C (or V/m)
- e) 2.05E+05 N/C (or V/m)

11) A circlular capactitor of radius 4.1 m has a gap of 11 mm, and a charge of 51 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 3.40E-04 s
- b) 4.12E-04 s
- c) 4.99E-04 s
- d) 6.05E-04 s
- e) 7.33E-04 s

#### T9 S1[edit]

1) An induced emf of 2.9V is measured across a coil of 51 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.89A in 0.806s. What is the self-inductance of the coil?

- a) 2.549E-01 H
- b) 2.804E-01 H
- c) 3.084E-01 H
- d) 3.392E-01 H
- e) 3.732E-01 H

2) The current through the windings of a solenoid with n= 2.460E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 87 cm long and has a cross-sectional diameter of 3.32 cm. A small coil consisting of N=38turns wraped in a circle of diameter 1.29 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 7.340E-05 V
- b) 8.075E-05 V
- c) 8.882E-05 V
- d) 9.770E-05 V
- e) 1.075E-04 V

3) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.646E-01 &rad;
- b) 9.511E-01 &rad;
- c) 1.046E+00 &rad;
- d) 1.151E+00 &rad;
- e) 1.266E+00 &rad;

^{2}and separation d=7.10E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V

_{0}=25 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.30E-03?

- a) 2.998E-03 A
- b) 3.298E-03 A
- c) 3.628E-03 A
- d) 3.991E-03 A
- e) 4.390E-03 A

5) A 59 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 76 kW?

- a) 1.008E+02 km
- b) 1.109E+02 km
- c) 1.219E+02 km
- d) 1.341E+02 km
- e) 1.475E+02 km

6) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 19 turns per centimeter and the current applied to the solenoid is 421 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

- a) 1.302E+03
- b) 1.432E+03
- c) 1.576E+03
- d) 1.733E+03
- e) 1.907E+03

- 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

8) A circlular capactitor of radius 3.6 m has a gap of 8 mm, and a charge of 53 μC. What is the electric field between the plates?

- a) 6.82E+04 N/C (or V/m)
- b) 8.27E+04 N/C (or V/m)
- c) 1.00E+05 N/C (or V/m)
- d) 1.21E+05 N/C (or V/m)
- e) 1.47E+05 N/C (or V/m)

_{1}, I

_{2}, I

_{2}) are (2.24 A, 1.37 A, 2.3 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 7.576E-05 T - b) B
_{y}= 8.333E-05 T - c) B
_{y}= 9.167E-05 T - d) B
_{y}= 1.008E-04 T - e) B
_{y}= 1.109E-04 T

10) A circlular capactitor of radius 4.1 m has a gap of 14 mm, and a charge of 71 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- a) 1.65E-04 s
- b) 2.00E-04 s
- c) 2.43E-04 s
- d) 2.94E-04 s
- e) 3.56E-04 s

11) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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

#### T9 S2[edit]

^{2}and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?

- a) 8.320E-02 A
- b) 9.152E-02 A
- c) 1.007E-01 A
- d) 1.107E-01 A
- e) 1.218E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.759E-01 &rad;
- b) 9.635E-01 &rad;
- c) 1.060E+00 &rad;
- d) 1.166E+00 &rad;
- e) 1.282E+00 &rad;

3) A 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 84 kW?

- a) 9.780E+01 km
- b) 1.076E+02 km
- c) 1.183E+02 km
- d) 1.302E+02 km
- e) 1.432E+02 km

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 424 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

- a) 1.092E+03
- b) 1.201E+03
- c) 1.321E+03
- d) 1.454E+03
- e) 1.599E+03

- 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

6) An induced emf of 1.86V is measured across a coil of 59 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.58A in 0.89s. What is the self-inductance of the coil?

- a) 4.821E-01 H
- b) 5.303E-01 H
- c) 5.833E-01 H
- d) 6.416E-01 H
- e) 7.058E-01 H

7) An alpha-particle (m=6.64x10^{−27}kg, q=3.2x10^{−19}C) 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 circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 62 μC. What is the electric field between the plates?

- a) 9.50E+04 N/C (or V/m)
- b) 1.15E+05 N/C (or V/m)
- c) 1.39E+05 N/C (or V/m)
- d) 1.69E+05 N/C (or V/m)
- e) 2.05E+05 N/C (or V/m)

9) The current through the windings of a solenoid with n= 2.220E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 70 cm long and has a cross-sectional diameter of 2.73 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.45 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

- a) 1.066E-04 V
- b) 1.173E-04 V
- c) 1.290E-04 V
- d) 1.419E-04 V
- e) 1.561E-04 V

10) A circlular capactitor of radius 3.1 m has a gap of 15 mm, and a charge of 73 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 6.62E-05 s
- b) 8.02E-05 s
- c) 9.71E-05 s
- d) 1.18E-04 s
- e) 1.43E-04 s

_{1}, I

_{2}, I

_{2}) are (2.45 A, 1.66 A, 1.63 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 1.205E-04 T - b) B
_{y}= 1.325E-04 T - c) B
_{y}= 1.458E-04 T - d) B
_{y}= 1.604E-04 T - e) B
_{y}= 1.764E-04 T

### T9 T0[edit]

1) 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

- 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

_{1}, I

_{2}, I

_{2}) are (2.28 A, 1.27 A, 1.61 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 5.409E-05 T - b) B
_{x}= 5.950E-05 T - c) B
_{x}= 6.545E-05 T - d) B
_{x}= 7.200E-05 T - e) B
_{x}= 7.920E-05 T

4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.547 m and 0.597 T, then how much current (in the z-direction) flows through a circle of radius 0.158 m that is centered on the axis with its plane perpendicular to the axis?

- a) 1.751E+05 A
- b) 1.927E+05 A
- c) 2.119E+05 A
- d) 2.331E+05 A
- e) 2.564E+05 A

^{−1}.What is the induced electric fied at a distance 1.98 m from the axis at time t=0.049 s ?

- a) 1.605E-04 V/m
- b) 1.766E-04 V/m
- c) 1.942E-04 V/m
- d) 2.136E-04 V/m
- e) 2.350E-04 V/m

6) A washer has an inner diameter of 2.42 cm and an outer diamter of 4.53 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 8.932E-01 cm
^{3} - b) 9.825E-01 cm
^{3} - c) 1.081E+00 cm
^{3} - d) 1.189E+00 cm
^{3} - e) 1.308E+00 cm
^{3}

7) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- a) Q = 2.287E+02
- b) Q = 2.630E+02
- c) Q = 3.025E+02
- d) Q = 3.478E+02
- e) Q = 4.000E+02

8) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.052 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.392E-06 N/m
^{2} - b) 2.631E-06 N/m
^{2} - c) 2.894E-06 N/m
^{2} - d) 3.184E-06 N/m
^{2} - e) 3.502E-06 N/m
^{2}

9) A 48 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 96 kW?

- a) 1.753E+02 km
- b) 1.928E+02 km
- c) 2.121E+02 km
- d) 2.333E+02 km
- e) 2.567E+02 km

10) A circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 36 μC. What is the electric field between the plates?

- a) 4.55E+04 N/C (or V/m)
- b) 5.52E+04 N/C (or V/m)
- c) 6.68E+04 N/C (or V/m)
- d) 8.10E+04 N/C (or V/m)
- e) 9.81E+04 N/C (or V/m)

11) A circlular capactitor of radius 3.8 m has a gap of 14 mm, and a charge of 61 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.67E-11 Vs
^{2}m^{-1} - b) 9.29E-11 Vs
^{2}m^{-1} - c) 1.13E-10 Vs
^{2}m^{-1} - d) 1.36E-10 Vs
^{2}m^{-1} - e) 1.65E-10 Vs
^{2}m^{-1}

#### T9 T1[edit]

1) A circlular capactitor of radius 3.7 m has a gap of 8 mm, and a charge of 89 μC. What is the electric field between the plates?

- a) 1.93E+05 N/C (or V/m)
- b) 2.34E+05 N/C (or V/m)
- c) 2.83E+05 N/C (or V/m)
- d) 3.43E+05 N/C (or V/m)
- e) 4.16E+05 N/C (or V/m)

- 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

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.495E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

4) 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

5) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.052 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.392E-06 N/m
^{2} - b) 2.631E-06 N/m
^{2} - c) 2.894E-06 N/m
^{2} - d) 3.184E-06 N/m
^{2} - e) 3.502E-06 N/m
^{2}

6) A washer has an inner diameter of 2.23 cm and an outer diamter of 4.18 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.351E+00 cm
^{3} - b) 1.486E+00 cm
^{3} - c) 1.635E+00 cm
^{3} - d) 1.798E+00 cm
^{3} - e) 1.978E+00 cm
^{3}

_{1}, I

_{2}, I

_{2}) are (2.29 A, 1.77 A, 1.48 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 8.371E-05 T - b) B
_{x}= 9.208E-05 T - c) B
_{x}= 1.013E-04 T - d) B
_{x}= 1.114E-04 T - e) B
_{x}= 1.226E-04 T

8) A 55 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 93 kW?

- a) 1.270E+02 km
- b) 1.397E+02 km
- c) 1.537E+02 km
- d) 1.690E+02 km
- e) 1.859E+02 km

9) A circlular capactitor of radius 4.3 m has a gap of 12 mm, and a charge of 85 μC. Compute the surface integral over an inner face of the capacitor.

- a) 7.28E-11 Vs
^{2}m^{-1} - b) 8.82E-11 Vs
^{2}m^{-1} - c) 1.07E-10 Vs
^{2}m^{-1} - d) 1.29E-10 Vs
^{2}m^{-1} - e) 1.57E-10 Vs
^{2}m^{-1}

10) A long solenoid has a radius of 0.887 m and 43 turns per meter; its current decreases with time according to , where 7 A and 28 s^{−1}.What is the induced electric fied at a distance 2.66 m from the axis at time t=0.0332 s ?

- a) 6.182E-04 V/m
- b) 6.801E-04 V/m
- c) 7.481E-04 V/m
- d) 8.229E-04 V/m
- e) 9.052E-04 V/m

11) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.407 m and 0.605 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?

- a) 3.583E+05 A
- b) 3.941E+05 A
- c) 4.335E+05 A
- d) 4.769E+05 A
- e) 5.246E+05 A

#### T9 T2[edit]

1) 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

2) A circlular capactitor of radius 4.3 m has a gap of 11 mm, and a charge of 66 μC. Compute the surface integral over an inner face of the capacitor.

- a) 6.85E-11 Vs
^{2}m^{-1} - b) 8.29E-11 Vs
^{2}m^{-1} - c) 1.00E-10 Vs
^{2}m^{-1} - d) 1.22E-10 Vs
^{2}m^{-1} - e) 1.47E-10 Vs
^{2}m^{-1}

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.20E-03H , and C=3.70E-06 F, respectively.

- a) Q = 7.135E+01
- b) Q = 8.205E+01
- c) Q = 9.435E+01
- d) Q = 1.085E+02
- e) Q = 1.248E+02

4) A 59 kW radio transmitter on Earth sends it signal to a satellite 150 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.517E+02 km
- b) 1.669E+02 km
- c) 1.835E+02 km
- d) 2.019E+02 km
- e) 2.221E+02 km

5) A long solenoid has a radius of 0.716 m and 96 turns per meter; its current decreases with time according to , where 9 A and 23 s^{−1}.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0226 s ?

- a) 1.426E-03 V/m
- b) 1.568E-03 V/m
- c) 1.725E-03 V/m
- d) 1.897E-03 V/m
- e) 2.087E-03 V/m

6) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,

,

where is the maximum magnetic field (at ). If 0.547 m and 0.597 T, then how much current (in the z-direction) flows through a circle of radius 0.158 m that is centered on the axis with its plane perpendicular to the axis?

- a) 1.751E+05 A
- b) 1.927E+05 A
- c) 2.119E+05 A
- d) 2.331E+05 A
- e) 2.564E+05 A

7) A washer has an inner diameter of 2.12 cm and an outer diamter of 4.47 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.228E+00 cm
^{3} - b) 1.351E+00 cm
^{3} - c) 1.486E+00 cm
^{3} - d) 1.634E+00 cm
^{3} - e) 1.798E+00 cm
^{3}

- 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 circlular capactitor of radius 4.2 m has a gap of 12 mm, and a charge of 94 μC. What is the electric field between the plates?

- a) 1.92E+05 N/C (or V/m)
- b) 2.32E+05 N/C (or V/m)
- c) 2.81E+05 N/C (or V/m)
- d) 3.41E+05 N/C (or V/m)
- e) 4.13E+05 N/C (or V/m)

10) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.016 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 6.669E-07 N/m
^{2} - b) 7.336E-07 N/m
^{2} - c) 8.069E-07 N/m
^{2} - d) 8.876E-07 N/m
^{2} - e) 9.764E-07 N/m
^{2}

_{1}, I

_{2}, I

_{2}) are (1.38 A, 1.87 A, 2.03 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.134E-05 T - b) B
_{x}= 7.847E-05 T - c) B
_{x}= 8.632E-05 T - d) B
_{x}= 9.495E-05 T - e) B
_{x}= 1.044E-04 T

### T9 U0[edit]

1) 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

2) 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

3) A wire carries a current of 293 A in a circular arc with radius 1.75 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 4.652E+00 Tesla
- b) 5.117E+00 Tesla
- c) 5.629E+00 Tesla
- d) 6.192E+00 Tesla
- e) 6.811E+00 Tesla

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.58 kA, I

_{2}=1.11 kA, and I

_{3}=2.47 kA, take the path and evalulate the line integral,

:

- a) 4.092E-03 T-m
- b) 4.501E-03 T-m
- c) 4.951E-03 T-m
- d) 5.446E-03 T-m
- e) 5.991E-03 T-m

5) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.11 T and 1.150E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 2.887E+03 V
- b) 3.176E+03 V
- c) 3.493E+03 V
- d) 3.843E+03 V
- e) 4.227E+03 V

6) A washer has an inner diameter of 2.37 cm and an outer diamter of 4.84 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.570E+00 cm
^{3} - b) 1.727E+00 cm
^{3} - c) 1.900E+00 cm
^{3} - d) 2.090E+00 cm
^{3} - e) 2.299E+00 cm
^{3}

7) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- a) 4.347E-05 Watts
- b) 4.782E-05 Watts
- c) 5.260E-05 Watts
- d) 5.786E-05 Watts
- e) 6.364E-05 Watts

8) A 47 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 90 kW?

- a) 1.799E+02 km
- b) 1.979E+02 km
- c) 2.177E+02 km
- d) 2.394E+02 km
- e) 2.634E+02 km

9) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.022 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 4.555E-07 N/m
^{2} - b) 5.010E-07 N/m
^{2} - c) 5.511E-07 N/m
^{2} - d) 6.063E-07 N/m
^{2} - e) 6.669E-07 N/m
^{2}

10) A circlular capactitor of radius 3.2 m has a gap of 12 mm, and a charge of 84 μC. What is the electric field between the plates?

- a) 1.37E+05 N/C (or V/m)
- b) 1.66E+05 N/C (or V/m)
- c) 2.01E+05 N/C (or V/m)
- d) 2.43E+05 N/C (or V/m)
- e) 2.95E+05 N/C (or V/m)

11) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 52 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 3.30E-09 Tesla
- b) 4.15E-09 Tesla
- c) 5.23E-09 Tesla
- d) 6.58E-09 Tesla
- e) 8.29E-09 Tesla

#### T9 U1[edit]

1) A circlular capactitor of radius 4.4 m has a gap of 18 mm, and a charge of 36 μC. What is the electric field between the plates?

- a) 4.55E+04 N/C (or V/m)
- b) 5.52E+04 N/C (or V/m)
- c) 6.68E+04 N/C (or V/m)
- d) 8.10E+04 N/C (or V/m)
- e) 9.81E+04 N/C (or V/m)

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.46 kA, I

_{2}=2.14 kA, and I

_{3}=4.44 kA, take the path and evalulate the line integral,

:

- a) 4.943E-03 T-m
- b) 5.438E-03 T-m
- c) 5.982E-03 T-m
- d) 6.580E-03 T-m
- e) 7.238E-03 T-m

3) A wire carries a current of 269 A in a circular arc with radius 2.35 cm swept through 36 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 1.613E+00 Tesla
- b) 1.774E+00 Tesla
- c) 1.951E+00 Tesla
- d) 2.146E+00 Tesla
- e) 2.361E+00 Tesla

4) A 41 kW radio transmitter on Earth sends it signal to a satellite 160 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 85 kW?

- a) 2.094E+02 km
- b) 2.304E+02 km
- c) 2.534E+02 km
- d) 2.788E+02 km
- e) 3.066E+02 km

5) A washer has an inner diameter of 2.36 cm and an outer diamter of 4.5 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.097E+00 cm
^{3} - b) 1.207E+00 cm
^{3} - c) 1.328E+00 cm
^{3} - d) 1.460E+00 cm
^{3} - e) 1.606E+00 cm
^{3}

6) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- a) 5.097E-03 Watts
- b) 5.607E-03 Watts
- c) 6.167E-03 Watts
- d) 6.784E-03 Watts
- e) 7.463E-03 Watts

7) 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

8) 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

9) A spatially uniform magnetic points in the z-direction and oscilates with time as where 2.25 T and 8.280E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.227 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 2.657E+04 V
- b) 2.923E+04 V
- c) 3.215E+04 V
- d) 3.537E+04 V
- e) 3.890E+04 V

10) A circlular capactitor of radius 4.3 m has a gap of 15 mm, and a charge of 21 μC. The capacitor is discharged through a 7 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 1.62E-09 Tesla
- b) 2.04E-09 Tesla
- c) 2.57E-09 Tesla
- d) 3.23E-09 Tesla
- e) 4.07E-09 Tesla

11) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.315E-07 N/m
^{2} - b) 2.547E-07 N/m
^{2} - c) 2.801E-07 N/m
^{2} - d) 3.082E-07 N/m
^{2} - e) 3.390E-07 N/m
^{2}

#### T9 U2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 Ω, L= 9.40E-03H , and C=8.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.111E-03 Watts
- b) 2.323E-03 Watts
- c) 2.555E-03 Watts
- d) 2.810E-03 Watts
- e) 3.091E-03 Watts

2) A circlular capactitor of radius 4.7 m has a gap of 16 mm, and a charge of 12 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

- a) 6.62E-10 Tesla
- b) 8.33E-10 Tesla
- c) 1.05E-09 Tesla
- d) 1.32E-09 Tesla
- e) 1.66E-09 Tesla

3) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?

- a) 1.418E+02 km
- b) 1.560E+02 km
- c) 1.716E+02 km
- d) 1.887E+02 km
- e) 2.076E+02 km

4) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.75 T and 9.800E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.22 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 4.198E+04 V
- b) 4.618E+04 V
- c) 5.080E+04 V
- d) 5.588E+04 V
- e) 6.147E+04 V

5) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 2.315E-07 N/m
^{2} - b) 2.547E-07 N/m
^{2} - c) 2.801E-07 N/m
^{2} - d) 3.082E-07 N/m
^{2} - e) 3.390E-07 N/m
^{2}

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.31 kA, I

_{2}=1.16 kA, and I

_{3}=2.13 kA, take the path and evalulate the line integral,

:

- a) 2.815E-03 T-m
- b) 3.097E-03 T-m
- c) 3.406E-03 T-m
- d) 3.747E-03 T-m
- e) 4.122E-03 T-m

7) A washer has an inner diameter of 2.16 cm and an outer diamter of 4.82 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.342E+00 cm
^{3} - b) 1.477E+00 cm
^{3} - c) 1.624E+00 cm
^{3} - d) 1.787E+00 cm
^{3} - e) 1.965E+00 cm
^{3}

8) A wire carries a current of 297 A in a circular arc with radius 2.31 cm swept through 75 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

- a) 3.774E+00 Tesla
- b) 4.151E+00 Tesla
- c) 4.566E+00 Tesla
- d) 5.023E+00 Tesla
- e) 5.525E+00 Tesla

9) A circlular capactitor of radius 3.6 m has a gap of 8 mm, and a charge of 53 μC. What is the electric field between the plates?

- a) 6.82E+04 N/C (or V/m)
- b) 8.27E+04 N/C (or V/m)
- c) 1.00E+05 N/C (or V/m)
- d) 1.21E+05 N/C (or V/m)
- e) 1.47E+05 N/C (or V/m)

10) 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

11) 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

### T9 V0[edit]

1) 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

- 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

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.46 kA, I

_{2}=2.14 kA, and I

_{3}=4.44 kA, take the path and evalulate the line integral,

:

- a) 4.943E-03 T-m
- b) 5.438E-03 T-m
- c) 5.982E-03 T-m
- d) 6.580E-03 T-m
- e) 7.238E-03 T-m

4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.9 mm from the center of a wire of radius 4 mm if the current is 1A?

- a) 1.784E-05 T
- b) 1.963E-05 T
- c) 2.159E-05 T
- d) 2.375E-05 T
- e) 2.613E-05 T

5) A long solenoid has a radius of 0.749 m and 62 turns per meter; its current decreases with time according to , where 9 A and 25 s^{−1}.What is the induced electric fied at a distance 0.139 m from the axis at time t=0.071 s ?

- a) 2.065E-04 V/m
- b) 2.271E-04 V/m
- c) 2.499E-04 V/m
- d) 2.748E-04 V/m
- e) 3.023E-04 V/m

6) A washer has an inner diameter of 2.38 cm and an outer diamter of 4.83 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.118E+00 cm
^{3} - b) 1.229E+00 cm
^{3} - c) 1.352E+00 cm
^{3} - d) 1.487E+00 cm
^{3} - e) 1.636E+00 cm
^{3}

7) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.759E-01 &rad;
- b) 9.635E-01 &rad;
- c) 1.060E+00 &rad;
- d) 1.166E+00 &rad;
- e) 1.282E+00 &rad;

8) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?

- a) 1.641E+02 km
- b) 1.805E+02 km
- c) 1.986E+02 km
- d) 2.184E+02 km
- e) 2.403E+02 km

^{2}and separation d=6.30E-03 m is connected via a swith to a 4 Ω resistor and a battery of voltage V

_{0}=7 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=3.40E-05?

- a) 6.252E+00 V
- b) 6.878E+00 V
- c) 7.565E+00 V
- d) 8.322E+00 V
- e) 9.154E+00 V

10) A circlular capactitor of radius 4 m has a gap of 16 mm, and a charge of 48 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 1.16E-04 s
- b) 1.41E-04 s
- c) 1.71E-04 s
- d) 2.07E-04 s
- e) 2.50E-04 s

11) A circlular capactitor of radius 4.3 m has a gap of 14 mm, and a charge of 15 μC. Compute the surface integral over an inner face of the capacitor.

- a) 8.75E-12 Vs
^{2}m^{-1} - b) 1.06E-11 Vs
^{2}m^{-1} - c) 1.28E-11 Vs
^{2}m^{-1} - d) 1.56E-11 Vs
^{2}m^{-1} - e) 1.88E-11 Vs
^{2}m^{-1}

#### T9 V1[edit]

1) A long solenoid has a radius of 0.732 m and 55 turns per meter; its current decreases with time according to , where 9 A and 25 s^{−1}.What is the induced electric fied at a distance 0.203 m from the axis at time t=0.0448 s ?

- a) 5.150E-04 V/m
- b) 5.665E-04 V/m
- c) 6.232E-04 V/m
- d) 6.855E-04 V/m
- e) 7.540E-04 V/m

2) A circlular capactitor of radius 4.2 m has a gap of 18 mm, and a charge of 97 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 1.91E-04 s
- b) 2.31E-04 s
- c) 2.80E-04 s
- d) 3.39E-04 s
- e) 4.11E-04 s

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.31 kA, I

_{2}=1.16 kA, and I

_{3}=2.13 kA, take the path and evalulate the line integral,

:

- a) 2.815E-03 T-m
- b) 3.097E-03 T-m
- c) 3.406E-03 T-m
- d) 3.747E-03 T-m
- e) 4.122E-03 T-m

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 59 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 73 kW?

- a) 1.003E+02 km
- b) 1.103E+02 km
- c) 1.213E+02 km
- d) 1.335E+02 km
- e) 1.468E+02 km

6) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.208E-05 T
- b) 1.329E-05 T
- c) 1.462E-05 T
- d) 1.608E-05 T
- e) 1.769E-05 T

7) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.952E-01 &rad;
- b) 8.747E-01 &rad;
- c) 9.622E-01 &rad;
- d) 1.058E+00 &rad;
- e) 1.164E+00 &rad;

8) A washer has an inner diameter of 2.23 cm and an outer diamter of 4.85 cm. The thickness is where is measured in cm, , and