# Quizbank/University Physics Semester 2/T5

University Physics Semester 2/T5 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-T5.pdf

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

### T5 A0[edit]

1) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(8.9 **i** + 4.27 **j** + 7.52 **k**) x 10^{4} m/s?

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

- 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

_{1}, I

_{2}, I

_{2}) are (1.57 A, 2.03 A, 2.08 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.270E-05 T - b) B
_{x}= 7.997E-05 T - c) B
_{x}= 8.797E-05 T - d) B
_{x}= 9.677E-05 T - e) B
_{x}= 1.064E-04 T

4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.14 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 2.533E-05 T
- b) 2.787E-05 T
- c) 3.065E-05 T
- d) 3.372E-05 T
- e) 3.709E-05 T

5) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) A very long and thin solenoid has 1016 turns and is 142 meters long. The wire carrys a current of 9.7A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 27 meters from the center and stops 84 meters from the center?

- a) 3.05E+03 A
- b) 3.35E+03 A
- c) 3.67E+03 A
- d) 4.03E+03 A
- e) 4.41E+03 A

8) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.4) to the point (7.4,0).

- a) 1.89E+01 amps
- b) 2.08E+01 amps
- c) 2.28E+01 amps
- d) 2.49E+01 amps
- e) 2.74E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.6, 9.6) to the point (9.6, 9.6).

- a) 1.73E+01 amps
- b) 1.89E+01 amps
- c) 2.07E+01 amps
- d) 2.28E+01 amps
- e) 2.49E+01 amps

#### T5 A1[edit]

1) If , where is magnetic field, what is at a distance of 6.2m from a wire carrying a current of 4.8A?

- a) 9.35E-02 A/m
- b) 1.02E-01 A/m
- c) 1.12E-01 A/m
- d) 1.23E-01 A/m
- e) 1.35E-01 A/m

_{1}, I

_{2}, I

_{2}) are (1.19 A, 1.51 A, 2.18 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.487E-05 T - b) B
_{x}= 8.236E-05 T - c) B
_{x}= 9.060E-05 T - d) B
_{x}= 9.966E-05 T - e) B
_{x}= 1.096E-04 T

- 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

4) A very long and thin solenoid has 1295 turns and is 138 meters long. The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 22 meters from the center and stops 90 meters from the center?

- a) 2.97E+03 A
- b) 3.26E+03 A
- c) 3.57E+03 A
- d) 3.92E+03 A
- e) 4.30E+03 A

5) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.83 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(6.16 **i** + 2.1 **j** + 1.74 **k**) x 10^{4} m/s?

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

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,0).

- a) 8.44E+00 amps
- b) 9.25E+00 amps
- c) 1.01E+01 amps
- d) 1.11E+01 amps
- e) 1.22E+01 amps

7) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.6, 9.6) to the point (9.6, 9.6).

- a) 1.73E+01 amps
- b) 1.89E+01 amps
- c) 2.07E+01 amps
- d) 2.28E+01 amps
- e) 2.49E+01 amps

9) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

10) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.14 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 2.533E-05 T
- b) 2.787E-05 T
- c) 3.065E-05 T
- d) 3.372E-05 T
- e) 3.709E-05 T

#### T5 A2[edit]

1) If , where is magnetic field, what is at a distance of 6.5m from a wire carrying a current of 4.7A?

- a) 7.96E-02 A/m
- b) 8.73E-02 A/m
- c) 9.57E-02 A/m
- d) 1.05E-01 A/m
- e) 1.15E-01 A/m

2) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

- a) 1.322E-06 V
- b) 1.454E-06 V
- c) 1.600E-06 V
- d) 1.759E-06 V
- e) 1.935E-06 V

4) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(1.43 **i** + 8.8 **j** + 4.16 **k**) x 10^{4} m/s?

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

5) 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 (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

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.1, 8.1) to the point (8.1, 8.1).

- a) 2.01E+01 amps
- b) 2.20E+01 amps
- c) 2.41E+01 amps
- d) 2.64E+01 amps
- e) 2.90E+01 amps

8) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 78A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.6) to the point (4.6,0).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.14E+01 amps
- e) 2.34E+01 amps

10) A very long and thin solenoid has 2006 turns and is 118 meters long. The wire carrys a current of 9.7A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 30 meters from the center and stops 78 meters from the center?

- a) 4.78E+03 A
- b) 5.24E+03 A
- c) 5.75E+03 A
- d) 6.30E+03 A
- e) 6.91E+03 A

### T5 B0[edit]

- a) 1.648E-06 V
- b) 1.813E-06 V
- c) 1.994E-06 V
- d) 2.194E-06 V
- e) 2.413E-06 V

2) 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

_{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

4) 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

5) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

6) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) If , where is magnetic field, what is at a distance of 7.9m from a wire carrying a current of 6.8A?

- a) 1.14E-01 A/m
- b) 1.25E-01 A/m
- c) 1.37E-01 A/m
- d) 1.50E-01 A/m
- e) 1.65E-01 A/m

8) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.6) to (+∞,9.6).

- a) 3.16E+01 amps
- b) 3.47E+01 amps
- c) 3.80E+01 amps
- d) 4.17E+01 amps
- e) 4.57E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.6, 9.6) to the point (9.6, 9.6).

- a) 1.73E+01 amps
- b) 1.89E+01 amps
- c) 2.07E+01 amps
- d) 2.28E+01 amps
- e) 2.49E+01 amps

#### T5 B1[edit]

1) What is the sum of 6.6 apples plus 33 apples?

- a) 3.61E+01 apples
- b) 3.96E+01 apples
- c) 4.34E+01 apples
- d) 4.76E+01 apples
- e) 5.22E+01 apples

_{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

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, , from (-∞,6.9) to (+∞,6.9).

- a) 2.54E+01 amps
- b) 2.79E+01 amps
- c) 3.06E+01 amps
- d) 3.35E+01 amps
- e) 3.67E+01 amps

- a) 8.660E-06 V
- b) 9.526E-06 V
- c) 1.048E-05 V
- d) 1.153E-05 V
- e) 1.268E-05 V

5) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 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) 1.285E+00 Tesla
- b) 1.413E+00 Tesla
- c) 1.554E+00 Tesla
- d) 1.710E+00 Tesla
- e) 1.881E+00 Tesla

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.7, 8.7) to the point (8.7, 8.7).

- a) 1.21E+01 amps
- b) 1.33E+01 amps
- c) 1.46E+01 amps
- d) 1.60E+01 amps
- e) 1.75E+01 amps

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

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

8) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

9) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) If , where is magnetic field, what is at a distance of 6.5m from a wire carrying a current of 4.7A?

- a) 7.96E-02 A/m
- b) 8.73E-02 A/m
- c) 9.57E-02 A/m
- d) 1.05E-01 A/m
- e) 1.15E-01 A/m

#### T5 B2[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}=2.72 kA, I

_{2}=2.17 kA, and I

_{3}=3.21 kA, take the path and evalulate the line integral,

:

- a) 3.905E-03 T-m
- b) 4.295E-03 T-m
- c) 4.725E-03 T-m
- d) 5.197E-03 T-m
- e) 5.717E-03 T-m

2) If , where is magnetic field, what is at a distance of 6.5m from a wire carrying a current of 4.7A?

- a) 7.96E-02 A/m
- b) 8.73E-02 A/m
- c) 9.57E-02 A/m
- d) 1.05E-01 A/m
- e) 1.15E-01 A/m

3) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 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) 1.285E+00 Tesla
- b) 1.413E+00 Tesla
- c) 1.554E+00 Tesla
- d) 1.710E+00 Tesla
- e) 1.881E+00 Tesla

- a) 6.100E-06 V
- b) 6.710E-06 V
- c) 7.381E-06 V
- d) 8.120E-06 V
- e) 8.931E-06 V

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

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

6) What is the sum of 0.2 apples plus 57 apples?

- a) 5.72E+01 apples
- b) 6.27E+01 apples
- c) 6.88E+01 apples
- d) 7.54E+01 apples
- e) 8.27E+01 apples

7) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

8) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-5.7, 5.7) to the point (5.7, 5.7).

- a) 1.54E+01 amps
- b) 1.69E+01 amps
- c) 1.85E+01 amps
- d) 2.03E+01 amps
- e) 2.22E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 69A passes along the z-axis. Use symmetry to find the integral, , from (-∞,5.8) to (+∞,5.8).

- a) 2.87E+01 amps
- b) 3.15E+01 amps
- c) 3.45E+01 amps
- d) 3.78E+01 amps
- e) 4.15E+01 amps

### T5 C0[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 charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

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

3) 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

4) 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

5) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

6) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

8) A very long and thin solenoid has 2662 turns and is 182 meters long. The wire carrys a current of 9.2A. What is the magnetic field in the center?

- a) 1.54E-04 Tesla
- b) 1.69E-04 Tesla
- c) 1.85E-04 Tesla
- d) 2.03E-04 Tesla
- e) 2.23E-04 Tesla

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.4) to (+∞,9.4).

- a) 2.32E+01 amps
- b) 2.54E+01 amps
- c) 2.79E+01 amps
- d) 3.06E+01 amps
- e) 3.35E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.4) to the point (7.4,0).

- a) 1.89E+01 amps
- b) 2.08E+01 amps
- c) 2.28E+01 amps
- d) 2.49E+01 amps
- e) 2.74E+01 amps

#### T5 C1[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 very long and thin solenoid has 1259 turns and is 154 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?

- a) 9.25E-05 Tesla
- b) 1.01E-04 Tesla
- c) 1.11E-04 Tesla
- d) 1.22E-04 Tesla
- e) 1.34E-04 Tesla

3) If , where is magnetic field, what is at the point (5.6728,2.7403) if a current of 7.4A flows through a wire that runs along the z axis?

- a) 1.28E-01 A/m
- b) 1.40E-01 A/m
- c) 1.54E-01 A/m
- d) 1.68E-01 A/m
- e) 1.85E-01 A/m

4) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 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) 3.498E+00 Tesla
- b) 3.848E+00 Tesla
- c) 4.233E+00 Tesla
- d) 4.656E+00 Tesla
- e) 5.122E+00 Tesla

5) 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

6) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.3) to the point (7.3,0).

- a) 2.28E+01 amps
- b) 2.49E+01 amps
- c) 2.74E+01 amps
- d) 3.00E+01 amps
- e) 3.29E+01 amps

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, , from (-∞,4.1) to (+∞,4.1).

- a) 3.53E+01 amps
- b) 3.87E+01 amps
- c) 4.24E+01 amps
- d) 4.65E+01 amps
- e) 5.10E+01 amps

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

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

10) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

#### T5 C2[edit]

1) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8.2) to (+∞,8.2).

- a) 3.37E+01 amps
- b) 3.70E+01 amps
- c) 4.06E+01 amps
- d) 4.45E+01 amps
- e) 4.88E+01 amps

3) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

4) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 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 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T

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

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

6) A wire carries a current of 343 A in a circular arc with radius 2.95 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) 1.902E+00 Tesla
- b) 2.092E+00 Tesla
- c) 2.301E+00 Tesla
- d) 2.532E+00 Tesla
- e) 2.785E+00 Tesla

7) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

8) 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

9) A very long and thin solenoid has 2662 turns and is 182 meters long. The wire carrys a current of 9.2A. What is the magnetic field in the center?

- a) 1.54E-04 Tesla
- b) 1.69E-04 Tesla
- c) 1.85E-04 Tesla
- d) 2.03E-04 Tesla
- e) 2.23E-04 Tesla

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 78A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.6) to the point (4.6,0).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.14E+01 amps
- e) 2.34E+01 amps

### T5 D0[edit]

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

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

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

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

3) Two loops of wire carry the same current of 29 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.76 m while the other has a radius of 1.12 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 0.544 m from the first (smaller) loopif the disance between the loops is 1.56 m?

- a) 1.950E-02 T
- b) 2.145E-02 T
- c) 2.360E-02 T
- d) 2.596E-02 T
- e) 2.855E-02 T

_{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) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

6) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) A very long and thin solenoid has 1409 turns and is 170 meters long. The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 37 meters from the center and stops 100 meters from the center?

- a) 2.94E+03 A
- b) 3.22E+03 A
- c) 3.53E+03 A
- d) 3.87E+03 A
- e) 4.25E+03 A

8) A very long and thin solenoid has 1992 turns and is 162 meters long. The wire carrys a current of 8.7A. What is the magnetic field in the center?

- a) 1.02E-04 Tesla
- b) 1.12E-04 Tesla
- c) 1.23E-04 Tesla
- d) 1.34E-04 Tesla
- e) 1.47E-04 Tesla

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.1, 6.1) to the point (6.1, 6.1).

- a) 1.50E+01 amps
- b) 1.65E+01 amps
- c) 1.81E+01 amps
- d) 1.98E+01 amps
- e) 2.18E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 37A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,0).

- a) 8.44E+00 amps
- b) 9.25E+00 amps
- c) 1.01E+01 amps
- d) 1.11E+01 amps
- e) 1.22E+01 amps

#### T5 D1[edit]

1) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

2) 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

3) 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

4) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.1) to the point (7.1,0).

- a) 2.30E+01 amps
- b) 2.52E+01 amps
- c) 2.77E+01 amps
- d) 3.03E+01 amps
- e) 3.32E+01 amps

_{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

7) A very long and thin solenoid has 1397 turns and is 154 meters long. The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 31 meters from the center and stops 93 meters from the center?

- a) 3.76E+03 A
- b) 4.12E+03 A
- c) 4.52E+03 A
- d) 4.95E+03 A
- e) 5.43E+03 A

8) 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

9) A very long and thin solenoid has 2066 turns and is 156 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?

- a) 8.75E-05 Tesla
- b) 9.59E-05 Tesla
- c) 1.05E-04 Tesla
- d) 1.15E-04 Tesla
- e) 1.26E-04 Tesla

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.7, 8.7) to the point (8.7, 8.7).

- a) 1.21E+01 amps
- b) 1.33E+01 amps
- c) 1.46E+01 amps
- d) 1.60E+01 amps
- e) 1.75E+01 amps

#### T5 D2[edit]

_{1}, I

_{2}, I

_{2}) are (1.4 A, 2.42 A, 1.9 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 1.335E-04 T - b) B
_{x}= 1.468E-04 T - c) B
_{x}= 1.615E-04 T - d) B
_{x}= 1.777E-04 T - e) B
_{x}= 1.954E-04 T

2) A very long and thin solenoid has 1992 turns and is 162 meters long. The wire carrys a current of 8.7A. What is the magnetic field in the center?

- a) 1.02E-04 Tesla
- b) 1.12E-04 Tesla
- c) 1.23E-04 Tesla
- d) 1.34E-04 Tesla
- e) 1.47E-04 Tesla

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

4) A very long and thin solenoid has 1397 turns and is 154 meters long. The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 31 meters from the center and stops 93 meters from the center?

- a) 3.76E+03 A
- b) 4.12E+03 A
- c) 4.52E+03 A
- d) 4.95E+03 A
- e) 5.43E+03 A

5) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 99A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.2) to the point (6.2,0).

- a) 2.48E+01 amps
- b) 2.71E+01 amps
- c) 2.98E+01 amps
- d) 3.26E+01 amps
- e) 3.58E+01 amps

7) Two loops of wire carry the same current of 44 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.678 m while the other has a radius of 1.14 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 0.508 m from the first (smaller) loopif the disance between the loops is 1.16 m?

- a) 3.342E-02 T
- b) 3.676E-02 T
- c) 4.044E-02 T
- d) 4.448E-02 T
- e) 4.893E-02 T

8) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

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

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

10) 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

### T5 E0[edit]

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

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

2) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(7.01 **i** + 5.35 **j** + 2.07 **k**) x 10^{4} m/s?

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

3) 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

_{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

5) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

6) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

8) A very long and thin solenoid has 1016 turns and is 136 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?

- a) 5.41E-05 Tesla
- b) 5.93E-05 Tesla
- c) 6.51E-05 Tesla
- d) 7.13E-05 Tesla
- e) 7.82E-05 Tesla

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.4) to the point (7.4,0).

- a) 1.89E+01 amps
- b) 2.08E+01 amps
- c) 2.28E+01 amps
- d) 2.49E+01 amps
- e) 2.74E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

#### T5 E1[edit]

1) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 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) 1.285E+00 Tesla
- b) 1.413E+00 Tesla
- c) 1.554E+00 Tesla
- d) 1.710E+00 Tesla
- e) 1.881E+00 Tesla

2) If , where is magnetic field, what is at a distance of 6.2m from a wire carrying a current of 4.8A?

- a) 9.35E-02 A/m
- b) 1.02E-01 A/m
- c) 1.12E-01 A/m
- d) 1.23E-01 A/m
- e) 1.35E-01 A/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

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

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

5) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) A very long and thin solenoid has 1634 turns and is 122 meters long. The wire carrys a current of 9.5A. What is the magnetic field in the center?

- a) 1.60E-04 Tesla
- b) 1.75E-04 Tesla
- c) 1.92E-04 Tesla
- d) 2.11E-04 Tesla
- e) 2.31E-04 Tesla

7) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.75 **i** + 9.06 **j** + 3.5 **k**) x 10^{4} m/s?

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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,0).

- a) 1.63E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.14E+01 amps
- e) 2.35E+01 amps

9) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

#### T5 E2[edit]

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

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

2) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.4) to the point (6.4,0).

- a) 2.10E+01 amps
- b) 2.30E+01 amps
- c) 2.52E+01 amps
- d) 2.77E+01 amps
- e) 3.03E+01 amps

4) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

5) If , where is magnetic field, what is at a distance of 8.8m from a wire carrying a current of 8.6A?

- a) 1.56E-01 A/m
- b) 1.71E-01 A/m
- c) 1.87E-01 A/m
- d) 2.05E-01 A/m
- e) 2.25E-01 A/m

6) 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

7) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

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

8) A very long and thin solenoid has 2979 turns and is 170 meters long. The wire carrys a current of 8.1A. What is the magnetic field in the center?

- a) 1.78E-04 Tesla
- b) 1.96E-04 Tesla
- c) 2.14E-04 Tesla
- d) 2.35E-04 Tesla
- e) 2.58E-04 Tesla

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.8, 9.8) to the point (9.8, 9.8).

- a) 1.60E+01 amps
- b) 1.76E+01 amps
- c) 1.93E+01 amps
- d) 2.11E+01 amps
- e) 2.31E+01 amps

_{1}, I

_{2}, I

_{2}) are (2.48 A, 1.4 A, 1.47 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 4.506E-05 T - b) B
_{x}= 4.957E-05 T - c) B
_{x}= 5.452E-05 T - d) B
_{x}= 5.997E-05 T - e) B
_{x}= 6.597E-05 T

### T5 F0[edit]

1) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(6.97 **i** + 8.52 **j** + 9.46 **k**) x 10^{4} m/s?

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

2) A charged particle in a magnetic field of 2.750E-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 (1.19 A, 1.51 A, 2.18 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.487E-05 T - b) B
_{x}= 8.236E-05 T - c) B
_{x}= 9.060E-05 T - d) B
_{x}= 9.966E-05 T - e) B
_{x}= 1.096E-04 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 cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

6) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at the point (5.1588,1.5958) if a current of 5A flows through a wire that runs along the z axis?

- a) 1.41E-01 A/m
- b) 1.54E-01 A/m
- c) 1.69E-01 A/m
- d) 1.86E-01 A/m
- e) 2.03E-01 A/m

8) A very long and thin solenoid has 1965 turns and is 136 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 43 meters from the center and stops 88 meters from the center?

- a) 2.75E+03 A
- b) 3.01E+03 A
- c) 3.30E+03 A
- d) 3.62E+03 A
- e) 3.97E+03 A

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 54A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.4) to the point (5.4,0).

- a) 9.34E+00 amps
- b) 1.02E+01 amps
- c) 1.12E+01 amps
- d) 1.23E+01 amps
- e) 1.35E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7) to the point (7,7).

- a) 6.25E+00 amps
- b) 6.85E+00 amps
- c) 7.51E+00 amps
- d) 8.24E+00 amps
- e) 9.03E+00 amps

#### T5 F1[edit]

1) 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

2) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.41 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(6.21 **i** + 5.39 **j** + 3.81 **k**) x 10^{4} m/s?

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

3) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

4) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.3) to the point (7.3,7.3).

- a) 3.88E+00 amps
- b) 4.25E+00 amps
- c) 4.66E+00 amps
- d) 5.11E+00 amps
- e) 5.60E+00 amps

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

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

7) A very long and thin solenoid has 2850 turns and is 164 meters long. The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 47 meters from the center and stops 108 meters from the center?

- a) 5.16E+03 A
- b) 5.66E+03 A
- c) 6.20E+03 A
- d) 6.80E+03 A
- e) 7.46E+03 A

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, , from the point (0,9.3) to the point (9.3,0).

- a) 2.18E+01 amps
- b) 2.38E+01 amps
- c) 2.61E+01 amps
- d) 2.87E+01 amps
- e) 3.14E+01 amps

9) If , where is magnetic field, what is at the point (2.8594,3.6033) if a current of 9.8A flows through a wire that runs along the z axis?

- a) 1.75E-01 A/m
- b) 1.92E-01 A/m
- c) 2.11E-01 A/m
- d) 2.31E-01 A/m
- e) 2.53E-01 A/m

_{1}, I

_{2}, I

_{2}) are (1.19 A, 1.51 A, 2.18 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.487E-05 T - b) B
_{x}= 8.236E-05 T - c) B
_{x}= 9.060E-05 T - d) B
_{x}= 9.966E-05 T - e) B
_{x}= 1.096E-04 T

#### T5 F2[edit]

1) If , where is magnetic field, what is at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

2) 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

3) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

4) A very long and thin solenoid has 2682 turns and is 146 meters long. The wire carrys a current of 9.5A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?

- a) 3.84E+03 A
- b) 4.21E+03 A
- c) 4.62E+03 A
- d) 5.06E+03 A
- e) 5.55E+03 A

5) 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

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.4) to the point (6.4,0).

- a) 2.10E+01 amps
- b) 2.30E+01 amps
- c) 2.52E+01 amps
- d) 2.77E+01 amps
- e) 3.03E+01 amps

7) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 1.21 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.75 **i** + 9.06 **j** + 3.5 **k**) x 10^{4} m/s?

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

_{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

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 7.68E+00 amps
- b) 8.42E+00 amps
- c) 9.23E+00 amps
- d) 1.01E+01 amps
- e) 1.11E+01 amps

10) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

### T5 G0[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 0.232 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

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

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

3) Two parallel wires each carry a 3.38 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.46 cm, 1.76 cm), while the other is located at (5.13 cm, 5.5 cm). What is the force per unit length between the wires?

- a) 3.810E-11 N/m
- b) 4.191E-11 N/m
- c) 4.610E-11 N/m
- d) 5.071E-11 N/m
- e) 5.578E-11 N/m

4) 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

5) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) If , where is magnetic field, what is at a distance of 4.6m from a wire carrying a current of 9.8A?

- a) 2.57E-01 A/m
- b) 2.82E-01 A/m
- c) 3.09E-01 A/m
- d) 3.39E-01 A/m
- e) 3.72E-01 A/m

8) What is the sum of 6.6 apples plus 33 apples?

- a) 3.61E+01 apples
- b) 3.96E+01 apples
- c) 4.34E+01 apples
- d) 4.76E+01 apples
- e) 5.22E+01 apples

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.7, 8.7) to the point (8.7, 8.7).

- a) 1.21E+01 amps
- b) 1.33E+01 amps
- c) 1.46E+01 amps
- d) 1.60E+01 amps
- e) 1.75E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7) to the point (7,7).

- a) 6.25E+00 amps
- b) 6.85E+00 amps
- c) 7.51E+00 amps
- d) 8.24E+00 amps
- e) 9.03E+00 amps

#### T5 G1[edit]

1) 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

2) What is the sum of 0.2 apples plus 57 apples?

- a) 5.72E+01 apples
- b) 6.27E+01 apples
- c) 6.88E+01 apples
- d) 7.54E+01 apples
- e) 8.27E+01 apples

3) 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

4) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, , from the point (-4.9, 4.9) to the point (4.9, 4.9).

- a) 1.23E+01 amps
- b) 1.35E+01 amps
- c) 1.48E+01 amps
- d) 1.63E+01 amps
- e) 1.78E+01 amps

7) A wire carries a current of 266 A in a circular arc with radius 2.21 cm swept through 73 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) 5.034E+00 Tesla
- b) 5.538E+00 Tesla
- c) 6.091E+00 Tesla
- d) 6.701E+00 Tesla
- e) 7.371E+00 Tesla

8) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?

- a) 2.588E-10 N/m
- b) 2.847E-10 N/m
- c) 3.131E-10 N/m
- d) 3.444E-10 N/m
- e) 3.789E-10 N/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 9.77E+00 amps
- b) 1.07E+01 amps
- c) 1.18E+01 amps
- d) 1.29E+01 amps
- e) 1.41E+01 amps

10) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

#### T5 G2[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 0.157 m and a magneticfield of 0.512 T. What is their maximum kinetic energy?

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

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.55E+01 amps
- b) 1.70E+01 amps
- c) 1.86E+01 amps
- d) 2.04E+01 amps
- e) 2.24E+01 amps

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,8.4).

- a) 5.47E+00 amps
- b) 6.00E+00 amps
- c) 6.58E+00 amps
- d) 7.21E+00 amps
- e) 7.91E+00 amps

4) Two parallel wires each carry a 3.38 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.46 cm, 1.76 cm), while the other is located at (5.13 cm, 5.5 cm). What is the force per unit length between the wires?

- a) 3.810E-11 N/m
- b) 4.191E-11 N/m
- c) 4.610E-11 N/m
- d) 5.071E-11 N/m
- e) 5.578E-11 N/m

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

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

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

7) If , where is magnetic field, what is at a distance of 4.2m from a wire carrying a current of 7.9A?

- a) 2.73E-01 A/m
- b) 2.99E-01 A/m
- c) 3.28E-01 A/m
- d) 3.60E-01 A/m
- e) 3.95E-01 A/m

8) A wire carries a current of 353 A in a circular arc with radius 2.44 cm swept through 86 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) 5.891E+00 Tesla
- b) 6.481E+00 Tesla
- c) 7.129E+00 Tesla
- d) 7.841E+00 Tesla
- e) 8.626E+00 Tesla

9) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) What is the sum of 7.2 apples plus 9 apples?

- a) 1.62E+01 apples
- b) 1.78E+01 apples
- c) 1.95E+01 apples
- d) 2.14E+01 apples
- e) 2.34E+01 apples

### T5 H0[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) 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

_{1}, I

_{2}, I

_{2}) are (1.93 A, 2.48 A, 1.36 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.397E-05 T - b) B
_{x}= 7.037E-05 T - c) B
_{x}= 7.740E-05 T - d) B
_{x}= 8.514E-05 T - e) B
_{x}= 9.366E-05 T

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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

7) If , where is magnetic field, what is at a distance of 4.6m from a wire carrying a current of 9.8A?

- a) 2.57E-01 A/m
- b) 2.82E-01 A/m
- c) 3.09E-01 A/m
- d) 3.39E-01 A/m
- e) 3.72E-01 A/m

8) If , where is magnetic field, what is at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (-5.8, 5.8) to the point (5.8, 5.8).

- a) 1.78E+01 amps
- b) 1.95E+01 amps
- c) 2.14E+01 amps
- d) 2.35E+01 amps
- e) 2.58E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 39A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.5) to the point (8.5,8.5).

- a) 4.88E+00 amps
- b) 5.35E+00 amps
- c) 5.86E+00 amps
- d) 6.43E+00 amps
- e) 7.05E+00 amps

#### T5 H1[edit]

1) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

2) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.3, 9.3) to the point (9.3, 9.3).

- a) 1.19E+01 amps
- b) 1.31E+01 amps
- c) 1.44E+01 amps
- d) 1.58E+01 amps
- e) 1.73E+01 amps

4) If , where is magnetic field, what is at the point (6.2097,1.9209) if a current of 4.7A flows through a wire that runs along the z axis?

- a) 8.34E-02 A/m
- b) 9.14E-02 A/m
- c) 1.00E-01 A/m
- d) 1.10E-01 A/m
- e) 1.21E-01 A/m

_{1}, I

_{2}, I

_{2}) are (1.93 A, 2.48 A, 1.36 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.397E-05 T - b) B
_{x}= 7.037E-05 T - c) B
_{x}= 7.740E-05 T - d) B
_{x}= 8.514E-05 T - e) B
_{x}= 9.366E-05 T

6) 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 242 mA, the net magnetic field is measured to be 1.38 T. What is the magnetic susceptibility for this case?

- a) 1.718E+03
- b) 1.890E+03
- c) 2.079E+03
- d) 2.287E+03
- e) 2.515E+03

- a) 8.660E-06 V
- b) 9.526E-06 V
- c) 1.048E-05 V
- d) 1.153E-05 V
- e) 1.268E-05 V

8) 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 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

9) If , where is magnetic field, what is at a distance of 5.4m from a wire carrying a current of 5A?

- a) 1.34E-01 A/m
- b) 1.47E-01 A/m
- c) 1.62E-01 A/m
- d) 1.77E-01 A/m
- e) 1.94E-01 A/m

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

#### T5 H2[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) If , where is magnetic field, what is at a distance of 7.7m from a wire carrying a current of 4.8A?

- a) 9.92E-02 A/m
- b) 1.09E-01 A/m
- c) 1.19E-01 A/m
- d) 1.31E-01 A/m
- e) 1.43E-01 A/m

3) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

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) If , where is magnetic field, what is at the point (2.5486,3.2116) if a current of 6.7A flows through a wire that runs along the z axis?

- a) 1.23E-01 A/m
- b) 1.34E-01 A/m
- c) 1.47E-01 A/m
- d) 1.62E-01 A/m
- e) 1.77E-01 A/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

8) 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

9) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 8.72E+00 amps
- b) 9.57E+00 amps
- c) 1.05E+01 amps
- d) 1.15E+01 amps
- e) 1.26E+01 amps

### T5 I0[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

- a) 1.322E-06 V
- b) 1.454E-06 V
- c) 1.600E-06 V
- d) 1.759E-06 V
- e) 1.935E-06 V

_{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

_{1}, I

_{2}, I

_{2}) are (2.41 A, 1.87 A, 2.21 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 6.718E-05 T - b) B
_{y}= 7.390E-05 T - c) B
_{y}= 8.129E-05 T - d) B
_{y}= 8.942E-05 T - e) B
_{y}= 9.836E-05 T

5) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

6) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

- a) 5.31E+01 amps per meter
- b) 5.73E+01 amps per meter
- c) 6.19E+01 amps per meter
- d) 6.68E+01 amps per meter
- e) 7.21E+01 amps per meter

8) If , where is magnetic field, what is at a distance of 6.1m from a wire carrying a current of 5.8A?

- a) 1.38E-01 A/m
- b) 1.51E-01 A/m
- c) 1.66E-01 A/m
- d) 1.82E-01 A/m
- e) 1.99E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 91A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.6, 9.6) to the point (9.6, 9.6).

- a) 1.73E+01 amps
- b) 1.89E+01 amps
- c) 2.07E+01 amps
- d) 2.28E+01 amps
- e) 2.49E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 9.77E+00 amps
- b) 1.07E+01 amps
- c) 1.18E+01 amps
- d) 1.29E+01 amps
- e) 1.41E+01 amps

#### T5 I1[edit]

- a) 9.015E-06 V
- b) 9.916E-06 V
- c) 1.091E-05 V
- d) 1.200E-05 V
- e) 1.320E-05 V

_{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}=2.48 kA, I

_{2}=1.47 kA, and I

_{3}=2.6 kA, take the path and evalulate the line integral,

:

- a) 1.420E-03 T-m
- b) 1.562E-03 T-m
- c) 1.718E-03 T-m
- d) 1.890E-03 T-m
- e) 2.079E-03 T-m

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.7) to the point (6.7,6.7).

- a) 4.33E+00 amps
- b) 4.75E+00 amps
- c) 5.21E+00 amps
- d) 5.71E+00 amps
- e) 6.26E+00 amps

4) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

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 6.97 mT and 2.240E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- a) 2.656E+05 m/s
- b) 2.922E+05 m/s
- c) 3.214E+05 m/s
- d) 3.535E+05 m/s
- e) 3.889E+05 m/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

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

8) What is the sum of 7.2 apples plus 9 apples?

- a) 1.62E+01 apples
- b) 1.78E+01 apples
- c) 1.95E+01 apples
- d) 2.14E+01 apples
- e) 2.34E+01 apples

9) If , where is magnetic field, what is at a distance of 9.9m from a wire carrying a current of 6.9A?

- a) 1.11E-01 A/m
- b) 1.22E-01 A/m
- c) 1.33E-01 A/m
- d) 1.46E-01 A/m
- e) 1.60E-01 A/m

10) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

#### T5 I2[edit]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.55E+01 amps
- b) 1.70E+01 amps
- c) 1.86E+01 amps
- d) 2.04E+01 amps
- e) 2.24E+01 amps

2) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

_{1}, I

_{2}, I

_{2}) are (2.26 A, 1.75 A, 2.47 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 7.518E-05 T - b) B
_{y}= 8.270E-05 T - c) B
_{y}= 9.097E-05 T - d) B
_{y}= 1.001E-04 T - e) B
_{y}= 1.101E-04 T

4) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

- a) 6.795E-06 V
- b) 7.475E-06 V
- c) 8.222E-06 V
- d) 9.045E-06 V
- e) 9.949E-06 V

6) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

7) If , where is magnetic field, what is at a distance of 6.1m from a wire carrying a current of 5.8A?

- a) 1.38E-01 A/m
- b) 1.51E-01 A/m
- c) 1.66E-01 A/m
- d) 1.82E-01 A/m
- e) 1.99E-01 A/m

8) 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 5.46 mT and 1.710E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.6) to the point (6.6,6.6).

- a) 9.15E+00 amps
- b) 1.00E+01 amps
- c) 1.10E+01 amps
- d) 1.21E+01 amps
- e) 1.32E+01 amps

_{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}=2.44 kA, I

_{2}=1.1 kA, and I

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

:

- a) 1.017E-03 T-m
- b) 1.118E-03 T-m
- c) 1.230E-03 T-m
- d) 1.353E-03 T-m
- e) 1.489E-03 T-m

### T5 J0[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 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

- 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

3) 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 0.51 m and 0.649 T, then how much current (in the z-direction) flows through a circle of radius 0.376 m that is centered on the axis with its plane perpendicular to the axis?

- a) 9.388E+05 A
- b) 1.033E+06 A
- c) 1.136E+06 A
- d) 1.249E+06 A
- e) 1.374E+06 A

4) 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

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 9.6A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 9.8m.

- a) 4.26E+01 m
- b) 4.67E+01 m
- c) 5.12E+01 m
- d) 5.62E+01 m
- e) 6.16E+01 m

8) If , where is magnetic field, what is at a distance of 6.5m from a wire carrying a current of 4.7A?

- a) 7.96E-02 A/m
- b) 8.73E-02 A/m
- c) 9.57E-02 A/m
- d) 1.05E-01 A/m
- e) 1.15E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.6) to the point (8.6,8.6).

- a) 4.50E+00 amps
- b) 4.93E+00 amps
- c) 5.41E+00 amps
- d) 5.93E+00 amps
- e) 6.50E+00 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 2.00E+01 amps
- b) 2.19E+01 amps
- c) 2.40E+01 amps
- d) 2.63E+01 amps
- e) 2.89E+01 amps

#### T5 J1[edit]

1) 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

2) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

3) 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

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,8.4).

- a) 5.47E+00 amps
- b) 6.00E+00 amps
- c) 6.58E+00 amps
- d) 7.21E+00 amps
- e) 7.91E+00 amps

5) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 5.8A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 4.4m.

- a) 2.30E+01 m
- b) 2.52E+01 m
- c) 2.76E+01 m
- d) 3.03E+01 m
- e) 3.32E+01 m

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 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

- a) 8.660E-06 V
- b) 9.526E-06 V
- c) 1.048E-05 V
- d) 1.153E-05 V
- e) 1.268E-05 V

8) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

9) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-5.7, 5.7) to the point (5.7, 5.7).

- a) 1.54E+01 amps
- b) 1.69E+01 amps
- c) 1.85E+01 amps
- d) 2.03E+01 amps
- e) 2.22E+01 amps

#### T5 J2[edit]

1) 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

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 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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

6) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

7) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 6.9A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 9.9m.

- a) 6.22E+01 m
- b) 6.82E+01 m
- c) 7.48E+01 m
- d) 8.20E+01 m
- e) 8.99E+01 m

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

- a) 8.660E-06 V
- b) 9.526E-06 V
- c) 1.048E-05 V
- d) 1.153E-05 V
- e) 1.268E-05 V

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

### T5 K0[edit]

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

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

2) 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

_{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}=2.5 kA, I

_{2}=1.53 kA, and I

_{3}=2.34 kA, take the path and evalulate the line integral,

:

- a) 1.018E-03 T-m
- b) 1.120E-03 T-m
- c) 1.232E-03 T-m
- d) 1.355E-03 T-m
- e) 1.490E-03 T-m

4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 17 turns per centimeter and the current applied to the solenoid is 331 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

- a) 1.593E+03
- b) 1.753E+03
- c) 1.928E+03
- d) 2.121E+03
- e) 2.333E+03

5) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

8) A very long and thin solenoid has 2219 turns and is 134 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?

- a) 2.41E+03 A
- b) 2.64E+03 A
- c) 2.89E+03 A
- d) 3.17E+03 A
- e) 3.48E+03 A

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, , from the point (-7, 7) to the point (7, 7).

- a) 9.67E+00 amps
- b) 1.06E+01 amps
- c) 1.16E+01 amps
- d) 1.28E+01 amps
- e) 1.40E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8.2) to (+∞,8.2).

- a) 3.37E+01 amps
- b) 3.70E+01 amps
- c) 4.06E+01 amps
- d) 4.45E+01 amps
- e) 4.88E+01 amps

#### T5 K1[edit]

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

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

2) 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

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

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

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-7.4, 7.4) to the point (7.4, 7.4).

- a) 1.69E+01 amps
- b) 1.85E+01 amps
- c) 2.03E+01 amps
- d) 2.22E+01 amps
- e) 2.44E+01 amps

5) What is the sum of 3.4 apples plus 62 apples?

- a) 4.96E+01 apples
- b) 5.44E+01 apples
- c) 5.96E+01 apples
- d) 6.54E+01 apples
- e) 7.17E+01 apples

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 66A passes along the z-axis. Use symmetry to find the integral, , from (-∞,5.5) to (+∞,5.5).

- a) 3.01E+01 amps
- b) 3.30E+01 amps
- c) 3.62E+01 amps
- d) 3.97E+01 amps
- e) 4.35E+01 amps

_{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

9) A very long and thin solenoid has 2850 turns and is 164 meters long. The wire carrys a current of 9.3A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 47 meters from the center and stops 108 meters from the center?

- a) 5.16E+03 A
- b) 5.66E+03 A
- c) 6.20E+03 A
- d) 6.80E+03 A
- e) 7.46E+03 A

10) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

#### T5 K2[edit]

1) 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

2) A very long and thin solenoid has 1016 turns and is 142 meters long. The wire carrys a current of 9.7A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 27 meters from the center and stops 84 meters from the center?

- a) 3.05E+03 A
- b) 3.35E+03 A
- c) 3.67E+03 A
- d) 4.03E+03 A
- e) 4.41E+03 A

3) 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 265 mA, the net magnetic field is measured to be 1.11 T. What is the magnetic susceptibility for this case?

- a) 1.376E+03
- b) 1.514E+03
- c) 1.666E+03
- d) 1.832E+03
- e) 2.015E+03

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.81m from the outermost edge of the torus?

- a) 1.11E+02 amps per meter
- b) 1.20E+02 amps per meter
- c) 1.30E+02 amps per meter
- d) 1.40E+02 amps per meter
- e) 1.51E+02 amps per meter

_{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

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 77A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.8, 9.8) to the point (9.8, 9.8).

- a) 1.60E+01 amps
- b) 1.76E+01 amps
- c) 1.93E+01 amps
- d) 2.11E+01 amps
- e) 2.31E+01 amps

7) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8.2) to (+∞,8.2).

- a) 3.37E+01 amps
- b) 3.70E+01 amps
- c) 4.06E+01 amps
- d) 4.45E+01 amps
- e) 4.88E+01 amps

9) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

10) 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

### T5 L0[edit]

1) 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

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

_{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

5) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

6) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

7) If , where is magnetic field, what is at the point (7.9293,2.4528) if a current of 7.3A flows through a wire that runs along the z axis?

- a) 1.11E-01 A/m
- b) 1.22E-01 A/m
- c) 1.34E-01 A/m
- d) 1.47E-01 A/m
- e) 1.61E-01 A/m

8) A very long and thin solenoid has 1946 turns and is 144 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?

- a) 1.06E-04 Tesla
- b) 1.16E-04 Tesla
- c) 1.27E-04 Tesla
- d) 1.39E-04 Tesla
- e) 1.53E-04 Tesla

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, , from (-∞,4.1) to (+∞,4.1).

- a) 3.53E+01 amps
- b) 3.87E+01 amps
- c) 4.24E+01 amps
- d) 4.65E+01 amps
- e) 5.10E+01 amps

#### T5 L1[edit]

_{1}, I

_{2}, I

_{2}) are (2.23 A, 1.52 A, 1.86 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 4.559E-05 T - b) B
_{x}= 5.015E-05 T - c) B
_{x}= 5.517E-05 T - d) B
_{x}= 6.068E-05 T - e) B
_{x}= 6.675E-05 T

2) 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

3) A very long and thin solenoid has 1259 turns and is 154 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?

- a) 9.25E-05 Tesla
- b) 1.01E-04 Tesla
- c) 1.11E-04 Tesla
- d) 1.22E-04 Tesla
- e) 1.34E-04 Tesla

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, , from (-∞,4.1) to (+∞,4.1).

- a) 3.53E+01 amps
- b) 3.87E+01 amps
- c) 4.24E+01 amps
- d) 4.65E+01 amps
- e) 5.10E+01 amps

5) 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

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) 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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 46A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 5.24E+00 amps
- b) 5.75E+00 amps
- c) 6.30E+00 amps
- d) 6.91E+00 amps
- e) 7.58E+00 amps

9) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

10) If , where is magnetic field, what is at the point (2.0898,3.6432) if a current of 4.9A flows through a wire that runs along the z axis?

- a) 6.39E-02 A/m
- b) 7.01E-02 A/m
- c) 7.68E-02 A/m
- d) 8.43E-02 A/m
- e) 9.24E-02 A/m

#### T5 L2[edit]

1) Two loops of wire carry the same current of 11 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.424 m while the other has a radius of 1.32 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 0.52 m from the first (smaller) loopif the disance between the loops is 1.25 m?

- a) 7.623E-03 T
- b) 8.385E-03 T
- c) 9.223E-03 T
- d) 1.015E-02 T
- e) 1.116E-02 T

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

_{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

4) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

6) If , where is magnetic field, what is at the point (2.0898,3.6432) if a current of 7.9A flows through a wire that runs along the z axis?

- a) 1.36E-01 A/m
- b) 1.49E-01 A/m
- c) 1.63E-01 A/m
- d) 1.79E-01 A/m
- e) 1.96E-01 A/m

7) 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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, , from (-∞,6.9) to (+∞,6.9).

- a) 2.54E+01 amps
- b) 2.79E+01 amps
- c) 3.06E+01 amps
- d) 3.35E+01 amps
- e) 3.67E+01 amps

9) A very long and thin solenoid has 2662 turns and is 182 meters long. The wire carrys a current of 9.2A. What is the magnetic field in the center?

- a) 1.54E-04 Tesla
- b) 1.69E-04 Tesla
- c) 1.85E-04 Tesla
- d) 2.03E-04 Tesla
- e) 2.23E-04 Tesla

10) 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

### T5 M0[edit]

1) 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

- a) 8.660E-06 V
- b) 9.526E-06 V
- c) 1.048E-05 V
- d) 1.153E-05 V
- e) 1.268E-05 V

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

4) 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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) If , where is magnetic field, what is at a distance of 4.2m from a wire carrying a current of 7.9A?

- a) 2.73E-01 A/m
- b) 2.99E-01 A/m
- c) 3.28E-01 A/m
- d) 3.60E-01 A/m
- e) 3.95E-01 A/m

8) If , where is magnetic field, what is at the point (6.2097,1.9209) if a current of 4.7A flows through a wire that runs along the z axis?

- a) 8.34E-02 A/m
- b) 9.14E-02 A/m
- c) 1.00E-01 A/m
- d) 1.10E-01 A/m
- e) 1.21E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 83A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.4) to the point (7.4,0).

- a) 1.89E+01 amps
- b) 2.08E+01 amps
- c) 2.28E+01 amps
- d) 2.49E+01 amps
- e) 2.74E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.55E+01 amps
- b) 1.70E+01 amps
- c) 1.86E+01 amps
- d) 2.04E+01 amps
- e) 2.24E+01 amps

#### T5 M1[edit]

1) 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

2) If , where is magnetic field, what is at a distance of 4.2m from a wire carrying a current of 4.9A?

- a) 1.28E-01 A/m
- b) 1.41E-01 A/m
- c) 1.54E-01 A/m
- d) 1.69E-01 A/m
- e) 1.86E-01 A/m

3) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.8, 6.8) to the point (6.8, 6.8).

- a) 1.06E+01 amps
- b) 1.16E+01 amps
- c) 1.28E+01 amps
- d) 1.40E+01 amps
- e) 1.53E+01 amps

5) 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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, , from the point (0,9.3) to the point (9.3,0).

- a) 2.18E+01 amps
- b) 2.38E+01 amps
- c) 2.61E+01 amps
- d) 2.87E+01 amps
- e) 3.14E+01 amps

8) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

9) A wire carries a current of 109 A in a circular arc with radius 1.26 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) 2.908E+00 Tesla
- b) 3.199E+00 Tesla
- c) 3.519E+00 Tesla
- d) 3.871E+00 Tesla
- e) 4.258E+00 Tesla

- 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

#### T5 M2[edit]

1) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 6.9A?

- a) 2.28E-01 A/m
- b) 2.50E-01 A/m
- c) 2.74E-01 A/m
- d) 3.00E-01 A/m
- e) 3.29E-01 A/m

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 68A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.4, 6.4) to the point (6.4, 6.4).

- a) 1.55E+01 amps
- b) 1.70E+01 amps
- c) 1.86E+01 amps
- d) 2.04E+01 amps
- e) 2.24E+01 amps

3) If , where is magnetic field, what is at the point (9.3623,2.8961) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

4) 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

5) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 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) 3.498E+00 Tesla
- b) 3.848E+00 Tesla
- c) 4.233E+00 Tesla
- d) 4.656E+00 Tesla
- e) 5.122E+00 Tesla

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.1) to the point (7.1,0).

- a) 2.30E+01 amps
- b) 2.52E+01 amps
- c) 2.77E+01 amps
- d) 3.03E+01 amps
- e) 3.32E+01 amps

- 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

8) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

9) 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

10) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

### T5 N0[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 7.67 mT and 4.260E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

2) A 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

_{1}, I

_{2}, I

_{2}) are (1.78 A, 1.34 A, 1.64 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 6.118E-05 T - b) B
_{y}= 6.730E-05 T - c) B
_{y}= 7.403E-05 T - d) B
_{y}= 8.144E-05 T - e) B
_{y}= 8.958E-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 0.432 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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) If , where is magnetic field, what is at the point (2.2104,5.6854) if a current of 5.8A flows through a wire that runs along the z axis?

- a) 4.16E-02 A/m
- b) 4.56E-02 A/m
- c) 5.00E-02 A/m
- d) 5.48E-02 A/m
- e) 6.01E-02 A/m

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

- a) 5.31E+01 amps per meter
- b) 5.73E+01 amps per meter
- c) 6.19E+01 amps per meter
- d) 6.68E+01 amps per meter
- e) 7.21E+01 amps per meter

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9) to (+∞,9).

- a) 3.08E+01 amps
- b) 3.37E+01 amps
- c) 3.70E+01 amps
- d) 4.06E+01 amps
- e) 4.45E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7) to the point (7,7).

- a) 6.25E+00 amps
- b) 6.85E+00 amps
- c) 7.51E+00 amps
- d) 8.24E+00 amps
- e) 9.03E+00 amps

#### T5 N1[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 5.49 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

_{1}, I

_{2}, I

_{2}) are (1.78 A, 1.34 A, 1.64 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 6.118E-05 T - b) B
_{y}= 6.730E-05 T - c) B
_{y}= 7.403E-05 T - d) B
_{y}= 8.144E-05 T - e) B
_{y}= 8.958E-05 T

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.3) to the point (7.3,7.3).

- a) 3.88E+00 amps
- b) 4.25E+00 amps
- c) 4.66E+00 amps
- d) 5.11E+00 amps
- e) 5.60E+00 amps

4) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

5) 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

6) If , where is magnetic field, what is at the point (6.3551,4.3477) if a current of 4.8A flows through a wire that runs along the z axis?

- a) 8.19E-02 A/m
- b) 8.98E-02 A/m
- c) 9.84E-02 A/m
- d) 1.08E-01 A/m
- e) 1.18E-01 A/m

7) 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

8) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 69A passes along the z-axis. Use symmetry to find the integral, , from (-∞,5.8) to (+∞,5.8).

- a) 2.87E+01 amps
- b) 3.15E+01 amps
- c) 3.45E+01 amps
- d) 3.78E+01 amps
- e) 4.15E+01 amps

10) What is the sum of 7.2 apples plus 9 apples?

- a) 1.62E+01 apples
- b) 1.78E+01 apples
- c) 1.95E+01 apples
- d) 2.14E+01 apples
- e) 2.34E+01 apples

#### T5 N2[edit]

1) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

_{1}, I

_{2}, I

_{2}) are (2.47 A, 2.1 A, 2.24 A), respectively. What is the y-component of the magnetic field at point P?

- a) B
_{y}= 1.191E-04 T - b) B
_{y}= 1.310E-04 T - c) B
_{y}= 1.441E-04 T - d) B
_{y}= 1.585E-04 T - e) B
_{y}= 1.744E-04 T

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.2) to the point (4.2,4.2).

- a) 3.98E+00 amps
- b) 4.37E+00 amps
- c) 4.79E+00 amps
- d) 5.25E+00 amps
- e) 5.76E+00 amps

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, , from (-∞,4.1) to (+∞,4.1).

- a) 3.53E+01 amps
- b) 3.87E+01 amps
- c) 4.24E+01 amps
- d) 4.65E+01 amps
- e) 5.10E+01 amps

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

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

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

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

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

8) What is the sum of 3.4 apples plus 62 apples?

- a) 4.96E+01 apples
- b) 5.44E+01 apples
- c) 5.96E+01 apples
- d) 6.54E+01 apples
- e) 7.17E+01 apples

9) If , where is magnetic field, what is at the point (2.5486,3.2116) if a current of 6.7A flows through a wire that runs along the z axis?

- a) 1.23E-01 A/m
- b) 1.34E-01 A/m
- c) 1.47E-01 A/m
- d) 1.62E-01 A/m
- e) 1.77E-01 A/m

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

### T5 O0[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 0.378 m and a magneticfield of 0.835 T. What is their maximum kinetic energy?

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

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

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

3) Two parallel wires each carry a 6.53 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.82 cm, 1.17 cm), while the other is located at (4.07 cm, 5.5 cm). What is the force per unit length between the wires?

- a) 1.788E-10 N/m
- b) 1.966E-10 N/m
- c) 2.163E-10 N/m
- d) 2.379E-10 N/m
- e) 2.617E-10 N/m

_{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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

- a) 5.31E+01 amps per meter
- b) 5.73E+01 amps per meter
- c) 6.19E+01 amps per meter
- d) 6.68E+01 amps per meter
- e) 7.21E+01 amps per meter

8) If , where is magnetic field, what is at the point (8.0883,5.5335) if a current of 9.6A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 54A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.4) to the point (5.4,0).

- a) 9.34E+00 amps
- b) 1.02E+01 amps
- c) 1.12E+01 amps
- d) 1.23E+01 amps
- e) 1.35E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

#### T5 O1[edit]

_{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

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

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

3) If , where is magnetic field, what is at the point (5.6728,2.7403) if a current of 7.4A flows through a wire that runs along the z axis?

- a) 1.28E-01 A/m
- b) 1.40E-01 A/m
- c) 1.54E-01 A/m
- d) 1.68E-01 A/m
- e) 1.85E-01 A/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 0.449 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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 55A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.7) to the point (8.7,0).

- a) 1.38E+01 amps
- b) 1.51E+01 amps
- c) 1.65E+01 amps
- d) 1.81E+01 amps
- e) 1.99E+01 amps

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

- a) 5.31E+01 amps per meter
- b) 5.73E+01 amps per meter
- c) 6.19E+01 amps per meter
- d) 6.68E+01 amps per meter
- e) 7.21E+01 amps per meter

8) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?

- a) 4.412E-10 N/m
- b) 4.853E-10 N/m
- c) 5.338E-10 N/m
- d) 5.872E-10 N/m
- e) 6.459E-10 N/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

#### T5 O2[edit]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 82A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.3, 9.3) to the point (9.3, 9.3).

- a) 2.05E+01 amps
- b) 2.25E+01 amps
- c) 2.46E+01 amps
- d) 2.70E+01 amps
- e) 2.96E+01 amps

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 0.449 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

3) If , where is magnetic field, what is at the point (6.4963,2.0095) if a current of 6.5A flows through a wire that runs along the z axis?

- a) 1.33E-01 A/m
- b) 1.45E-01 A/m
- c) 1.59E-01 A/m
- d) 1.75E-01 A/m
- e) 1.92E-01 A/m

4) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}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

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,0).

- a) 1.63E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.14E+01 amps
- e) 2.35E+01 amps

7) 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

8) What is the sum of 3.4 apples plus 62 apples?

- a) 4.96E+01 apples
- b) 5.44E+01 apples
- c) 5.96E+01 apples
- d) 6.54E+01 apples
- e) 7.17E+01 apples

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) Two parallel wires each carry a 7.68 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.36 cm, 1.58 cm), while the other is located at (5.29 cm, 5.18 cm). What is the force per unit length between the wires?

- a) 1.973E-10 N/m
- b) 2.170E-10 N/m
- c) 2.387E-10 N/m
- d) 2.625E-10 N/m
- e) 2.888E-10 N/m

### T5 P0[edit]

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

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

2) 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 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

_{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) A solenoid has 4.900E+04 turns wound around a cylinder of diameter 1.74 cm and length 19 m. The current through the coils is 0.432 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=−4.18 cm to z=+1.77 cm

- a) 6.884E-05 T-m
- b) 7.573E-05 T-m
- c) 8.330E-05 T-m
- d) 9.163E-05 T-m
- e) 1.008E-04 T-m

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) If , where is magnetic field, what is at the point (3.2194,2.9992) if a current of 5.8A flows through a wire that runs along the z axis?

- a) 1.06E-01 A/m
- b) 1.16E-01 A/m
- c) 1.28E-01 A/m
- d) 1.40E-01 A/m
- e) 1.54E-01 A/m

8) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 49A passes along the z-axis. Use symmetry to find the integral, , from the point (0,9.8) to the point (9.8,9.8).

- a) 6.13E+00 amps
- b) 6.72E+00 amps
- c) 7.36E+00 amps
- d) 8.07E+00 amps
- e) 8.85E+00 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, , from the point (-4.9, 4.9) to the point (4.9, 4.9).

- a) 1.23E+01 amps
- b) 1.35E+01 amps
- c) 1.48E+01 amps
- d) 1.63E+01 amps
- e) 1.78E+01 amps

#### T5 P1[edit]

1) 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

_{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

3) If , where is magnetic field, what is at the point (6.1539,7.7549) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 5.23E-02 A/m
- b) 5.74E-02 A/m
- c) 6.29E-02 A/m
- d) 6.90E-02 A/m
- e) 7.56E-02 A/m

4) What is the sum of 0.2 apples plus 57 apples?

- a) 5.72E+01 apples
- b) 6.27E+01 apples
- c) 6.88E+01 apples
- d) 7.54E+01 apples
- e) 8.27E+01 apples

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.6, 6.6) to the point (6.6, 6.6).

- a) 5.71E+00 amps
- b) 6.26E+00 amps
- c) 6.86E+00 amps
- d) 7.52E+00 amps
- e) 8.25E+00 amps

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.7) to the point (6.7,6.7).

- a) 4.33E+00 amps
- b) 4.75E+00 amps
- c) 5.21E+00 amps
- d) 5.71E+00 amps
- e) 6.26E+00 amps

7) 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 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

8) 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

9) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

10) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

#### T5 P2[edit]

1) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

2) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

3) 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

4) What is the sum of 7.2 apples plus 9 apples?

- a) 1.62E+01 apples
- b) 1.78E+01 apples
- c) 1.95E+01 apples
- d) 2.14E+01 apples
- e) 2.34E+01 apples

_{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}=3.3 kA, and I

_{3}=5.85 kA, take the path and evalulate the line integral,

:

- a) 5.598E-03 T-m
- b) 6.158E-03 T-m
- c) 6.773E-03 T-m
- d) 7.451E-03 T-m
- e) 8.196E-03 T-m

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 3.34 mT and 7.430E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

7) 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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 59A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.2) to the point (7.2,7.2).

- a) 7.38E+00 amps
- b) 8.09E+00 amps
- c) 8.87E+00 amps
- d) 9.72E+00 amps
- e) 1.07E+01 amps

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-7.4, 7.4) to the point (7.4, 7.4).

- a) 1.69E+01 amps
- b) 1.85E+01 amps
- c) 2.03E+01 amps
- d) 2.22E+01 amps
- e) 2.44E+01 amps

10) If , where is magnetic field, what is at the point (3.2194,2.9992) if a current of 5.8A flows through a wire that runs along the z axis?

- a) 1.06E-01 A/m
- b) 1.16E-01 A/m
- c) 1.28E-01 A/m
- d) 1.40E-01 A/m
- e) 1.54E-01 A/m

### T5 Q0[edit]

1) A long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.761 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

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 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

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

4) Two loops of wire carry the same current of 11 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.424 m while the other has a radius of 1.32 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 0.52 m from the first (smaller) loopif the disance between the loops is 1.25 m?

- a) 7.623E-03 T
- b) 8.385E-03 T
- c) 9.223E-03 T
- d) 1.015E-02 T
- e) 1.116E-02 T

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

7) If , where is magnetic field, what is at the point (6.2097,1.9209) if a current of 4.7A flows through a wire that runs along the z axis?

- a) 8.34E-02 A/m
- b) 9.14E-02 A/m
- c) 1.00E-01 A/m
- d) 1.10E-01 A/m
- e) 1.21E-01 A/m

8) A very long and thin solenoid has 2472 turns and is 144 meters long. The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 43 meters from the center and stops 87 meters from the center?

- a) 3.17E+03 A
- b) 3.48E+03 A
- c) 3.81E+03 A
- d) 4.18E+03 A
- e) 4.59E+03 A

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.4) to (+∞,9.4).

- a) 3.25E+01 amps
- b) 3.57E+01 amps
- c) 3.91E+01 amps
- d) 4.29E+01 amps
- e) 4.70E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.1) to the point (4.1,0).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

#### T5 Q1[edit]

1) A wire carries a current of 343 A in a circular arc with radius 2.95 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) 1.902E+00 Tesla
- b) 2.092E+00 Tesla
- c) 2.301E+00 Tesla
- d) 2.532E+00 Tesla
- e) 2.785E+00 Tesla

2) If , where is magnetic field, what is at the point (5.6728,2.7403) if a current of 7.4A flows through a wire that runs along the z axis?

- a) 1.28E-01 A/m
- b) 1.40E-01 A/m
- c) 1.54E-01 A/m
- d) 1.68E-01 A/m
- e) 1.85E-01 A/m

3) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, , from (-∞,6.9) to (+∞,6.9).

- a) 2.54E+01 amps
- b) 2.79E+01 amps
- c) 3.06E+01 amps
- d) 3.35E+01 amps
- e) 3.67E+01 amps

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

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

6) 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 1.85 mT and 5.080E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

7) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, , from the point (0,9.8) to the point (9.8,0).

- a) 1.77E+01 amps
- b) 1.94E+01 amps
- c) 2.13E+01 amps
- d) 2.33E+01 amps
- e) 2.55E+01 amps

9) 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

10) A very long and thin solenoid has 2682 turns and is 146 meters long. The wire carrys a current of 9.5A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?

- a) 3.84E+03 A
- b) 4.21E+03 A
- c) 4.62E+03 A
- d) 5.06E+03 A
- e) 5.55E+03 A

#### T5 Q2[edit]

1) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 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 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T

2) 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

3) 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 6.97 mT and 2.240E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- a) 2.656E+05 m/s
- b) 2.922E+05 m/s
- c) 3.214E+05 m/s
- d) 3.535E+05 m/s
- e) 3.889E+05 m/s

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 99A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.2) to the point (6.2,0).

- a) 2.48E+01 amps
- b) 2.71E+01 amps
- c) 2.98E+01 amps
- d) 3.26E+01 amps
- e) 3.58E+01 amps

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 44A passes along the z-axis. Use symmetry to find the integral, , from (-∞,5) to (+∞,5).

- a) 1.67E+01 amps
- b) 1.83E+01 amps
- c) 2.01E+01 amps
- d) 2.20E+01 amps
- e) 2.41E+01 amps

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at the point (2.5486,3.2116) if a current of 6.7A flows through a wire that runs along the z axis?

- a) 1.23E-01 A/m
- b) 1.34E-01 A/m
- c) 1.47E-01 A/m
- d) 1.62E-01 A/m
- e) 1.77E-01 A/m

8) A very long and thin solenoid has 1295 turns and is 138 meters long. The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 22 meters from the center and stops 90 meters from the center?

- a) 2.97E+03 A
- b) 3.26E+03 A
- c) 3.57E+03 A
- d) 3.92E+03 A
- e) 4.30E+03 A

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

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

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

### T5 R0[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 long rigid wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

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

3) Two loops of wire carry the same current of 11 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.424 m while the other has a radius of 1.32 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 0.52 m from the first (smaller) loopif the disance between the loops is 1.25 m?

- a) 7.623E-03 T
- b) 8.385E-03 T
- c) 9.223E-03 T
- d) 1.015E-02 T
- e) 1.116E-02 T

4) 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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) If , where is magnetic field, what is at the point (8.0883,5.5335) if a current of 9.6A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

8) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 7.9A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 4.2m.

- a) 1.83E+01 m
- b) 2.00E+01 m
- c) 2.19E+01 m
- d) 2.41E+01 m
- e) 2.64E+01 m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (-5.8, 5.8) to the point (5.8, 5.8).

- a) 1.78E+01 amps
- b) 1.95E+01 amps
- c) 2.14E+01 amps
- d) 2.35E+01 amps
- e) 2.58E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, , from (-∞,5.8) to (+∞,5.8).

- a) 3.16E+01 amps
- b) 3.47E+01 amps
- c) 3.80E+01 amps
- d) 4.17E+01 amps
- e) 4.57E+01 amps

#### T5 R1[edit]

1) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 71A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.6, 8.6) to the point (8.6, 8.6).

- a) 1.62E+01 amps
- b) 1.78E+01 amps
- c) 1.95E+01 amps
- d) 2.13E+01 amps
- e) 2.34E+01 amps

3) 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

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8.3) to (+∞,8.3).

- a) 1.50E+01 amps
- b) 1.64E+01 amps
- c) 1.80E+01 amps
- d) 1.97E+01 amps
- e) 2.16E+01 amps

5) 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

6) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 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 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?

- a) 7.952E-03 T
- b) 8.747E-03 T
- c) 9.622E-03 T
- d) 1.058E-02 T
- e) 1.164E-02 T

7) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

8) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 6.5A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 6.8m.

- a) 4.27E+01 m
- b) 4.68E+01 m
- c) 5.14E+01 m
- d) 5.63E+01 m
- e) 6.18E+01 m

9) If , where is magnetic field, what is at the point (2.8594,3.6033) if a current of 9.8A flows through a wire that runs along the z axis?

- a) 1.75E-01 A/m
- b) 1.92E-01 A/m
- c) 2.11E-01 A/m
- d) 2.31E-01 A/m
- e) 2.53E-01 A/m

10) 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

#### T5 R2[edit]

1) 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

2) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 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 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T

3) If , where is magnetic field, what is at the point (5.7803,5.3849) if a current of 6.8A flows through a wire that runs along the z axis?

- a) 6.93E-02 A/m
- b) 7.60E-02 A/m
- c) 8.34E-02 A/m
- d) 9.14E-02 A/m
- e) 1.00E-01 A/m

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) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.4) to (+∞,9.4).

- a) 3.25E+01 amps
- b) 3.57E+01 amps
- c) 3.91E+01 amps
- d) 4.29E+01 amps
- e) 4.70E+01 amps

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) 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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.1, 6.1) to the point (6.1, 6.1).

- a) 1.50E+01 amps
- b) 1.65E+01 amps
- c) 1.81E+01 amps
- d) 1.98E+01 amps
- e) 2.18E+01 amps

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) Amphere's law for magnetostatic currents is that equals the current enclosed by the closed loop, and is the magnetic field. A current of 9.6A flows upward along the z axis. Noting that for this geometry, , calculate the line integral for a circle of radius 9.8m.

- a) 4.26E+01 m
- b) 4.67E+01 m
- c) 5.12E+01 m
- d) 5.62E+01 m
- e) 6.16E+01 m

### T5 S0[edit]

1) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(8.25 **i** + 7.71 **j** + 2.91 **k**) x 10^{4} m/s?

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

2) A 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 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 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 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 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 0.353 m and 0.697 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) 5.479E+05 A
- b) 6.027E+05 A
- c) 6.630E+05 A
- d) 7.293E+05 A
- e) 8.022E+05 A

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

7) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

8) If , where is magnetic field, what is at the point (8.0883,5.5335) if a current of 9.6A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 8.72E+00 amps
- b) 9.57E+00 amps
- c) 1.05E+01 amps
- d) 1.15E+01 amps
- e) 1.26E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 70A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.7, 8.7) to the point (8.7, 8.7).

- a) 1.21E+01 amps
- b) 1.33E+01 amps
- c) 1.46E+01 amps
- d) 1.60E+01 amps
- e) 1.75E+01 amps

#### T5 S1[edit]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 7.68E+00 amps
- b) 8.42E+00 amps
- c) 9.23E+00 amps
- d) 1.01E+01 amps
- e) 1.11E+01 amps

2) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

3) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(1.81 **i** + 2.05 **j** + 4.49 **k**) x 10^{4} m/s?

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

4) If , where is magnetic field, what is at the point (6.4963,2.0095) if a current of 6.5A flows through a wire that runs along the z axis?

- a) 1.33E-01 A/m
- b) 1.45E-01 A/m
- c) 1.59E-01 A/m
- d) 1.75E-01 A/m
- e) 1.92E-01 A/m

5) What is the sum of 3.4 apples plus 62 apples?

- a) 4.96E+01 apples
- b) 5.44E+01 apples
- c) 5.96E+01 apples
- d) 6.54E+01 apples
- e) 7.17E+01 apples

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 51A passes along the z-axis. Use symmetry to find the integral, , from the point (-7, 7) to the point (7, 7).

- a) 9.67E+00 amps
- b) 1.06E+01 amps
- c) 1.16E+01 amps
- d) 1.28E+01 amps
- e) 1.40E+01 amps

7) 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

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 0.547 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

9) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 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 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?

- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T

10) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

#### T5 S2[edit]

1) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-7.4, 7.4) to the point (7.4, 7.4).

- a) 1.69E+01 amps
- b) 1.85E+01 amps
- c) 2.03E+01 amps
- d) 2.22E+01 amps
- e) 2.44E+01 amps

3) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

4) What is the sum of 0.2 apples plus 57 apples?

- a) 5.72E+01 apples
- b) 6.27E+01 apples
- c) 6.88E+01 apples
- d) 7.54E+01 apples
- e) 8.27E+01 apples

5) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 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 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?

- a) 7.952E-03 T
- b) 8.747E-03 T
- c) 9.622E-03 T
- d) 1.058E-02 T
- e) 1.164E-02 T

6) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

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

7) 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

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 58A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.5) to the point (8.5,8.5).

- a) 6.03E+00 amps
- b) 6.61E+00 amps
- c) 7.25E+00 amps
- d) 7.95E+00 amps
- e) 8.72E+00 amps

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

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

10) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

### T5 T0[edit]

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

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

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 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

3) Two parallel wires each carry a 4.15 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.19 cm, 1.78 cm), while the other is located at (3.73 cm, 4.12 cm). What is the force per unit length between the wires?

- a) 1.434E-10 N/m
- b) 1.578E-10 N/m
- c) 1.736E-10 N/m
- d) 1.909E-10 N/m
- e) 2.100E-10 N/m

4) 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 5 mm if the current is 1A?

- a) 1.935E-05 T
- b) 2.128E-05 T
- c) 2.341E-05 T
- d) 2.575E-05 T
- e) 2.832E-05 T

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) A very long and thin solenoid has 2543 turns and is 166 meters long. The wire carrys a current of 9.2A. What is the magnetic field in the center?

- a) 1.34E-04 Tesla
- b) 1.47E-04 Tesla
- c) 1.62E-04 Tesla
- d) 1.77E-04 Tesla
- e) 1.94E-04 Tesla

8) A very long and thin solenoid has 1292 turns and is 122 meters long. The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 39 meters from the center and stops 75 meters from the center?

- a) 1.63E+03 A
- b) 1.78E+03 A
- c) 1.96E+03 A
- d) 2.15E+03 A
- e) 2.35E+03 A

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.4) to (+∞,9.4).

- a) 1.55E+01 amps
- b) 1.70E+01 amps
- c) 1.86E+01 amps
- d) 2.04E+01 amps
- e) 2.24E+01 amps

#### T5 T1[edit]

1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.81 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 3.324E-05 T
- b) 3.657E-05 T
- c) 4.022E-05 T
- d) 4.424E-05 T
- e) 4.867E-05 T

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 67A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.4) to (+∞,9.4).

- a) 2.32E+01 amps
- b) 2.54E+01 amps
- c) 2.79E+01 amps
- d) 3.06E+01 amps
- e) 3.35E+01 amps

3) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

4) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

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

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

6) 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 2.68 mT and 3.200E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 8.72E+00 amps
- b) 9.57E+00 amps
- c) 1.05E+01 amps
- d) 1.15E+01 amps
- e) 1.26E+01 amps

8) A very long and thin solenoid has 1982 turns and is 154 meters long. The wire carrys a current of 9.1A. What is the magnetic field in the center?

- a) 1.12E-04 Tesla
- b) 1.22E-04 Tesla
- c) 1.34E-04 Tesla
- d) 1.47E-04 Tesla
- e) 1.61E-04 Tesla

9) A very long and thin solenoid has 1259 turns and is 156 meters long. The wire carrys a current of 8.9A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 35 meters from the center and stops 90 meters from the center?

- a) 2.82E+03 A
- b) 3.09E+03 A
- c) 3.39E+03 A
- d) 3.71E+03 A
- e) 4.07E+03 A

10) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?

- a) 2.588E-10 N/m
- b) 2.847E-10 N/m
- c) 3.131E-10 N/m
- d) 3.444E-10 N/m
- e) 3.789E-10 N/m

#### T5 T2[edit]

1) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

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

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

3) A very long and thin solenoid has 2682 turns and is 146 meters long. The wire carrys a current of 9.5A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?

- a) 3.84E+03 A
- b) 4.21E+03 A
- c) 4.62E+03 A
- d) 5.06E+03 A
- e) 5.55E+03 A

4) 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 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

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

5) A very long and thin solenoid has 2175 turns and is 134 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?

- a) 1.29E-04 Tesla
- b) 1.41E-04 Tesla
- c) 1.55E-04 Tesla
- d) 1.70E-04 Tesla
- e) 1.86E-04 Tesla

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 8.72E+00 amps
- b) 9.57E+00 amps
- c) 1.05E+01 amps
- d) 1.15E+01 amps
- e) 1.26E+01 amps

7) Two parallel wires each carry a 3.38 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.46 cm, 1.76 cm), while the other is located at (5.13 cm, 5.5 cm). What is the force per unit length between the wires?

- a) 3.810E-11 N/m
- b) 4.191E-11 N/m
- c) 4.610E-11 N/m
- d) 5.071E-11 N/m
- e) 5.578E-11 N/m

8) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 85A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8) to (+∞,8).

- a) 2.94E+01 amps
- b) 3.22E+01 amps
- c) 3.53E+01 amps
- d) 3.88E+01 amps
- e) 4.25E+01 amps

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

10) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.03 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 1.720E-05 T
- b) 1.892E-05 T
- c) 2.081E-05 T
- d) 2.289E-05 T
- e) 2.518E-05 T

### T5 U0[edit]

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

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

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 0.157 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

_{1}, I

_{2}, I

_{2}) are (1.93 A, 2.48 A, 1.36 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 6.397E-05 T - b) B
_{x}= 7.037E-05 T - c) B
_{x}= 7.740E-05 T - d) B
_{x}= 8.514E-05 T - e) B
_{x}= 9.366E-05 T

4) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?

- a) 2.634E-11 N/m
- b) 2.897E-11 N/m
- c) 3.187E-11 N/m
- d) 3.506E-11 N/m
- e) 3.856E-11 N/m

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 5.8A?

- a) 1.91E-01 A/m
- b) 2.10E-01 A/m
- c) 2.30E-01 A/m
- d) 2.52E-01 A/m
- e) 2.77E-01 A/m

8) If , where is magnetic field, what is at the point (5.6728,2.7403) if a current of 7.4A flows through a wire that runs along the z axis?

- a) 1.28E-01 A/m
- b) 1.40E-01 A/m
- c) 1.54E-01 A/m
- d) 1.68E-01 A/m
- e) 1.85E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 59A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.2) to the point (7.2,7.2).

- a) 7.38E+00 amps
- b) 8.09E+00 amps
- c) 8.87E+00 amps
- d) 9.72E+00 amps
- e) 1.07E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 54A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.4) to the point (5.4,0).

- a) 9.34E+00 amps
- b) 1.02E+01 amps
- c) 1.12E+01 amps
- d) 1.23E+01 amps
- e) 1.35E+01 amps

#### T5 U1[edit]

1) If , where is magnetic field, what is at the point (2.8594,3.6033) if a current of 9.8A flows through a wire that runs along the z axis?

- a) 1.75E-01 A/m
- b) 1.92E-01 A/m
- c) 2.11E-01 A/m
- d) 2.31E-01 A/m
- e) 2.53E-01 A/m

_{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

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 55A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.7) to the point (8.7,0).

- a) 1.38E+01 amps
- b) 1.51E+01 amps
- c) 1.65E+01 amps
- d) 1.81E+01 amps
- e) 1.99E+01 amps

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

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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

6) 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

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 42A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.2) to the point (4.2,4.2).

- a) 3.98E+00 amps
- b) 4.37E+00 amps
- c) 4.79E+00 amps
- d) 5.25E+00 amps
- e) 5.76E+00 amps

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

- a) 8.491E+00 MeV
- b) 9.340E+00 MeV
- c) 1.027E+01 MeV
- d) 1.130E+01 MeV
- e) 1.243E+01 MeV

9) If , where is magnetic field, what is at a distance of 7.9m from a wire carrying a current of 6.8A?

- a) 1.14E-01 A/m
- b) 1.25E-01 A/m
- c) 1.37E-01 A/m
- d) 1.50E-01 A/m
- e) 1.65E-01 A/m

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

#### T5 U2[edit]

1) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 9.77E+00 amps
- b) 1.07E+01 amps
- c) 1.18E+01 amps
- d) 1.29E+01 amps
- e) 1.41E+01 amps

_{1}, I

_{2}, I

_{2}) are (1.19 A, 1.51 A, 2.18 A), respectively. What is the x-component of the magnetic field at point P?

- a) B
_{x}= 7.487E-05 T - b) B
_{x}= 8.236E-05 T - c) B
_{x}= 9.060E-05 T - d) B
_{x}= 9.966E-05 T - e) B
_{x}= 1.096E-04 T

4) If , where is magnetic field, what is at a distance of 8.2m from a wire carrying a current of 7.2A?

- a) 9.67E-02 A/m
- b) 1.06E-01 A/m
- c) 1.16E-01 A/m
- d) 1.27E-01 A/m
- e) 1.40E-01 A/m

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

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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

8) 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

9) 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

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.4) to the point (6.4,0).

- a) 2.10E+01 amps
- b) 2.30E+01 amps
- c) 2.52E+01 amps
- d) 2.77E+01 amps
- e) 3.03E+01 amps

### T5 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

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

_{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

_{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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at a distance of 4.6m from a wire carrying a current of 9.8A?

- a) 2.57E-01 A/m
- b) 2.82E-01 A/m
- c) 3.09E-01 A/m
- d) 3.39E-01 A/m
- e) 3.72E-01 A/m

8) A very long and thin solenoid has 1295 turns and is 138 meters long. The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 22 meters from the center and stops 90 meters from the center?

- a) 2.97E+03 A
- b) 3.26E+03 A
- c) 3.57E+03 A
- d) 3.92E+03 A
- e) 4.30E+03 A

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.1) to the point (4.1,0).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 38A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.7) to the point (6.7,6.7).

- a) 4.33E+00 amps
- b) 4.75E+00 amps
- c) 5.21E+00 amps
- d) 5.71E+00 amps
- e) 6.26E+00 amps

#### T5 V1[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}=2.31 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

_{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

3) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 46A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 5.24E+00 amps
- b) 5.75E+00 amps
- c) 6.30E+00 amps
- d) 6.91E+00 amps
- e) 7.58E+00 amps

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

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

5) 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 0.512 T. What is their maximum kinetic energy?

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

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

7) If , where is magnetic field, what is at a distance of 4.4m from a wire carrying a current of 5.8A?

- a) 1.91E-01 A/m
- b) 2.10E-01 A/m
- c) 2.30E-01 A/m
- d) 2.52E-01 A/m
- e) 2.77E-01 A/m

8) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

9) A very long and thin solenoid has 1397 turns and is 154 meters long. The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 31 meters from the center and stops 93 meters from the center?

- a) 3.76E+03 A
- b) 4.12E+03 A
- c) 4.52E+03 A
- d) 4.95E+03 A
- e) 5.43E+03 A

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (0,4.1) to the point (4.1,0).

- a) 1.28E+01 amps
- b) 1.40E+01 amps
- c) 1.54E+01 amps
- d) 1.69E+01 amps
- e) 1.85E+01 amps

#### T5 V2[edit]

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, , from the point (0,6.6) to the point (6.6,0).

- a) 1.00E+01 amps
- b) 1.10E+01 amps
- c) 1.20E+01 amps
- d) 1.32E+01 amps
- e) 1.45E+01 amps

_{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) If , where is magnetic field, what is at a distance of 6.2m from a wire carrying a current of 4.8A?

- a) 9.35E-02 A/m
- b) 1.02E-01 A/m
- c) 1.12E-01 A/m
- d) 1.23E-01 A/m
- e) 1.35E-01 A/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

6) 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

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5.3) to the point (5.3,5.3).

- a) 9.77E+00 amps
- b) 1.07E+01 amps
- c) 1.18E+01 amps
- d) 1.29E+01 amps
- e) 1.41E+01 amps

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

- a) 8.491E+00 MeV
- b) 9.340E+00 MeV
- c) 1.027E+01 MeV
- d) 1.130E+01 MeV
- e) 1.243E+01 MeV

9) A very long and thin solenoid has 1847 turns and is 162 meters long. The wire carrys a current of 8.7A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 42 meters from the center and stops 103 meters from the center?

- a) 2.68E+03 A
- b) 2.93E+03 A
- c) 3.22E+03 A
- d) 3.53E+03 A
- e) 3.87E+03 A

10) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

- a) 1.1 x 10
^{0}volts - b) 3.6 x 10
^{0}volts - c) 1.1 x 10
^{1}volts - d) 3.6 x 10
^{1}volts - e) 1.1 x 10
^{2}volts

### T5 W0[edit]

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

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

2) 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 wire carries a current of 343 A in a circular arc with radius 2.95 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) 1.902E+00 Tesla
- b) 2.092E+00 Tesla
- c) 2.301E+00 Tesla
- d) 2.532E+00 Tesla
- e) 2.785E+00 Tesla

4) 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

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

7) If , where is magnetic field, what is at a distance of 4.1m from a wire carrying a current of 6.7A?

- a) 2.60E-01 A/m
- b) 2.85E-01 A/m
- c) 3.13E-01 A/m
- d) 3.43E-01 A/m
- e) 3.76E-01 A/m

8) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

9) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 7.68E+00 amps
- b) 8.42E+00 amps
- c) 9.23E+00 amps
- d) 1.01E+01 amps
- e) 1.11E+01 amps

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, , from (-∞,8.7) to (+∞,8.7).

- a) 4.01E+01 amps
- b) 4.40E+01 amps
- c) 4.82E+01 amps
- d) 5.29E+01 amps
- e) 5.80E+01 amps

#### T5 W1[edit]

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

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

2) If , where is magnetic field, what is at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

- a) 1.13E-01 A/m
- b) 1.24E-01 A/m
- c) 1.36E-01 A/m
- d) 1.49E-01 A/m
- e) 1.63E-01 A/m

3) A wire carries a current of 343 A in a circular arc with radius 2.95 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) 1.902E+00 Tesla
- b) 2.092E+00 Tesla
- c) 2.301E+00 Tesla
- d) 2.532E+00 Tesla
- e) 2.785E+00 Tesla

4) 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 5 mm if the current is 1A?

- a) 1.935E-05 T
- b) 2.128E-05 T
- c) 2.341E-05 T
- d) 2.575E-05 T
- e) 2.832E-05 T

5) If , where is magnetic field, what is at a distance of 7.7m from a wire carrying a current of 4.8A?

- a) 9.92E-02 A/m
- b) 1.09E-01 A/m
- c) 1.19E-01 A/m
- d) 1.31E-01 A/m
- e) 1.43E-01 A/m

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

7) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

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

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

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

10) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 76A passes along the z-axis. Use symmetry to find the integral, , from (-∞,9.6) to (+∞,9.6).

- a) 3.16E+01 amps
- b) 3.47E+01 amps
- c) 3.80E+01 amps
- d) 4.17E+01 amps
- e) 4.57E+01 amps

#### T5 W2[edit]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.3) to the point (7.3,7.3).

- a) 3.88E+00 amps
- b) 4.25E+00 amps
- c) 4.66E+00 amps
- d) 5.11E+00 amps
- e) 5.60E+00 amps

2) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 44A passes along the z-axis. Use symmetry to find the integral,