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A solenoid with a certain number of turns N and carrying a current of 2.000 A has a length of 34.00 cm. If the magnitude of the magnetic field generated at the center of the solenoid is 9.000 mT, what is the value of N?


A) 860.0
B) 1591
C) 2318
D) 3183
E) 1218

F) B) and E)
G) B) and D)

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Two long parallel wires carry currents of 5.0 A and 8.0 A in the opposite direction. The wires are separated by 0.30 m. Find the magnetic force per unit length between the two wires.


A) 2.7 × 10-5 N/m repulsive
B) 7.2 × 10-5 N/m repulsive
C) 3.4 × 10-5 N/m attractive
D) 2.7 × 10-5 N/m attractive
E) 7.2 × 10-5 N/m attractive

F) None of the above
G) A) and C)

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FIGURE 28-6 FIGURE 28-6   -Fig. 28-6 shows two long, parallel current-carrying wires. The wires carry equal currents   =   = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at a point located at an equal distance d from each wire. A) 8μT downward B) 8μT upward C) 4μT downward D) 4μT upward E) 4μT to the right -Fig. 28-6 shows two long, parallel current-carrying wires. The wires carry equal currents FIGURE 28-6   -Fig. 28-6 shows two long, parallel current-carrying wires. The wires carry equal currents   =   = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at a point located at an equal distance d from each wire. A) 8μT downward B) 8μT upward C) 4μT downward D) 4μT upward E) 4μT to the right = FIGURE 28-6   -Fig. 28-6 shows two long, parallel current-carrying wires. The wires carry equal currents   =   = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at a point located at an equal distance d from each wire. A) 8μT downward B) 8μT upward C) 4μT downward D) 4μT upward E) 4μT to the right = 20 A in the directions indicated and are located a distance d = 0.5 m apart. Calculate the magnitude and direction of the magnetic field at a point located at an equal distance d from each wire.


A) 8μT downward
B) 8μT upward
C) 4μT downward
D) 4μT upward
E) 4μT to the right

F) A) and E)
G) C) and E)

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The magnetic permeability of a ferromagnetic material is


A) much less than μO.
B) slightly less than μO.
C) much greater than μO.
D) the same as μO.
E) slightly more than μO.

F) A) and C)
G) A) and B)

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Describe diamagnetism.

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Diamagnetism is the effect of the produc...

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A toroidal solenoid has a radius R = 0.5 m and a cross-sectional diameter equal to 10 cm. When a current I passes through the coil of the solenoid, the magnetic field at the center of the solenoid has a magnitude B = 2 μT. What is the largest value of the magnetic field in the solenoid for the same value of the current?


A) 3.5 μT
B) 1.8 μT
C) 2.2 μT
D) 0.5 μT
E) 2.8 μT

F) A) and B)
G) C) and E)

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Describe ferromagnetism.

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A ferromagnetic material produ...

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The magnetic field near a current carrying wire is directly proportional to the distance from the wire.

A) True
B) False

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In ferromagnetic materials the small regions that act like tiny magnets are called


A) conductors.
B) domains.
C) iron filings.
D) spins.
E) ferromagnets.

F) A) and B)
G) A) and D)

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Which of the solenoids described below has the greatest magnetic field along its axis?


A) a solenoid of length L, with N turns and a current I
B) a solenoid of length L, with N/2 turns and a current I
C) a solenoid of length L/2, with N/2 turns and a current I
D) a solenoid of length 2L, with N turns and a current I/2
E) a solenoid of length 2L, with 2N turns and a current 2I

F) A) and C)
G) All of the above

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FIGURE 28-5 FIGURE 28-5   -A long straight wire carrying a 4-A current is placed along the x-axis as shown in Fig. 28-5. (a) What is the magnitude of the magnetic field at a point P, located at y = 0.02 m, due to the current in this wire? (b) What is the direction of the magnetic field at a point P, located at y = 0.02 m, due to this wire? -A long straight wire carrying a 4-A current is placed along the x-axis as shown in Fig. 28-5. (a) What is the magnitude of the magnetic field at a point P, located at y = 0.02 m, due to the current in this wire? (b) What is the direction of the magnetic field at a point P, located at y = 0.02 m, due to this wire?

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(a) 40 μT
...

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A wire of thickness d = 5 mm is tightly wound 200 times around a cylindrical core to form a solenoid. A current I = 0.1 A is sent through the wire. What is the the magnetic field on the axis of the solenoid?


A) 6.6 × 10-5 T
B) 2.5 × 10-5 T
C) 1.3 × 10-5 T
D) 3.6 × 10-5 T
E) 9.8 × 10-5 T

F) B) and E)
G) A) and B)

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The coulomb is the same as


A) T∙A/m.
B) A∙s.
C) A/s.
D) all of the above
E) none of the above

F) B) and E)
G) A) and C)

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The magnetic field produced by a long straight current-carrying wire is


A) proportional to both the current in the wire and the distance from the wire
B) proportional to the current in the wire and inversely proportional to the distance from the wire.
C) inversely proportional to the current in the wire and proportional to the distance from the wire.
D) inversely proportional to both the current in the wire and the distance from the wire.
E) independent of both the current in the wire and the distance from the wire.

F) B) and C)
G) A) and C)

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FIGURE 28-8 FIGURE 28-8   -Fig. 28-8 shows the cross-section of a hollow cylinder of inner radius a = 5 cm and outer radius b = 7 cm. A uniform current density j = 1 A/ cm<sup>2</sup> flows through the cylinder. Calculate the magnitude of the magnetic field at a distance d = 10 cm from the axis of the cylinder. A) 0 B) 1.5 × 10<sup>-4</sup> T C) 2.5 × 10<sup>-4</sup> T D) 4.5 × 10<sup>-4</sup> T E) 0.5 × 10<sup>-4</sup> T -Fig. 28-8 shows the cross-section of a hollow cylinder of inner radius a = 5 cm and outer radius b = 7 cm. A uniform current density j = 1 A/ cm2 flows through the cylinder. Calculate the magnitude of the magnetic field at a distance d = 10 cm from the axis of the cylinder.


A) 0
B) 1.5 × 10-4 T
C) 2.5 × 10-4 T
D) 4.5 × 10-4 T
E) 0.5 × 10-4 T

F) A) and E)
G) A) and C)

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The magnetic field due to the current in a long, straight wire is 8.0 μT at a distance of 4.0 cm from the center of the wire. What is the current in the wire?


A) 0.20 A
B) 0.40 A
C) 0.80 A
D) 3.2 A
E) 1.6 A

F) A) and E)
G) None of the above

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The magnitude of the magnetic field 8.0 cm from a straight wire carrying a current of 6.0 A is


A) 1.5 × 10-3 T.
B) 1.5 × 10-5 T.
C) 3.0 × 10-3 T.
D) 3.0 π × 10-4 T.
E) 3.0 × 10-5 T.

F) D) and E)
G) A) and E)

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How much current must pass through a 400 turn coil 4.0 cm long to generate a 1.0-T magnetic field at the center?


A) 0.013 A
B) 13 A
C) 22 A
D) 40 A
E) 80 A

F) B) and D)
G) All of the above

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A solenoid with an air core has a magnetic field pointing along its axis in the positive x direction. This solenoid is then filled with a diamagnetic material. What changes will this make to the magnetic field along the axis of the solenoid?


A) The field will point in the -x direction with a smaller magnitude.
B) The magnetic field will not change.
C) The field will point in the same direction with a larger magnitude.
D) The field will have the same magnitude but will now point in the -x direction.
E) The field will point in the same direction with a smaller magnitude.

F) A) and E)
G) A) and D)

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A solenoid with n1 = 1200 turns/m and a current I1 = 2.5 A is filled with a paramagnetic material at a temperature T1 = 320 K. A second solenoid with n2 = 1000 turns/m and a current I2 = 0.85 A is filled with the same paramagnetic material at a different temperature T2. The magnetizations are the same in both cases. What is the value of T2?


A) 256 K
B) 150 K
C) 67 K
D) 91 K
E) 201 K

F) A) and D)
G) A) and C)

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