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Two long parallel wires are placed side-by-side on a horizontal table. If the wires carry current in the same direction,


A) one wire is lifted slightly as the other wire is forced against the table's surface.
B) both wires are lifted slightly.
C) both wires are forced against the table's surface.
D) the wires attract each other.
E) the wires repel each other.

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

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The magnitude of the magnetic field inside a solenoid is inversely proportional to the current flowing through the solenoid.

A) True
B) False

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A small cylinder made of a diamagnetic material is brought near a bar magnet. One end of the cylinder is brought near the North pole of the magnet and is repelled. What happens when the other end of the cylinder is brought near the North pole of the magnet?


A) The other end of the cylinder will not be affected by the magnet.
B) The other end of the cylinder will be attracted less strongly by the magnet.
C) The other end of the cylinder will be attracted by the magnet.
D) The other end of the cylinder will be repelled by the magnet.
E) The other end of the cylinder will be attracted more strongly by the magnet.

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

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A semicircular wire of radius R connects two straight wire segments. If a current I flows along the wire, the magnitude of the magnetic field at the center of the semicircular wire due to the current in the semicircular wire is


A) μO I/2R.
B) μO I/4R.
C) μO I/8R.
D) μO I/4πR.
E) μO I/8πR.

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

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B

Four long parallel wires each carry 2.0 A in the same direction. They are parallel to the z-axis, and they pass through the corners of a square of side 4.0 cm positioned in the x-y plane. What magnetic field does one of the wires experience due to the other wires?


A) 1.2 × 10-6 T
B) 2.1 × 10-6 T
C) 1.2 × 10-5 T
D) 2.7 × 10-5 T
E) 0 T

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

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D

Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions. The wires are separated by 0.20 m. What is the magnetic field midway between the two wires?


A) 1.0 × 10-5 T
B) 2.0 × 10-5 T
C) 3.0 × 10-5 T
D) 4.0 × 10-5 T
E) 5.0 × 10-5 T

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

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What is the value of the magnetic field at the center of a square wire of length a on the side, if the current in the wire is I?


A) B = What is the value of the magnetic field at the center of a square wire of length a on the side, if the current in the wire is I? A) B =   B) B =   C) B =   D) B =   E) B = 0
B) B = What is the value of the magnetic field at the center of a square wire of length a on the side, if the current in the wire is I? A) B =   B) B =   C) B =   D) B =   E) B = 0
C) B = What is the value of the magnetic field at the center of a square wire of length a on the side, if the current in the wire is I? A) B =   B) B =   C) B =   D) B =   E) B = 0
D) B = What is the value of the magnetic field at the center of a square wire of length a on the side, if the current in the wire is I? A) B =   B) B =   C) B =   D) B =   E) B = 0
E) B = 0

F) D) and E)
G) C) and D)

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A straight wire carries a 12-A current eastward and a second straight wire carries a 14-A current westward. The wires are separated by a distance of 42 cm. The force on a 6.4 m length of one of the wires is


A) 8.0 × 10-7 N.
B) 5.1 × 10-4 N.
C) 8.0 × 10-5 N.
D) 5.1 × 10-6 N.
E) not possible to determine with the information given.

F) B) and C)
G) B) and D)

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FIGURE 28-2 FIGURE 28-2   -Fig. 28-2 shows four different sets of wires that cross each other without actually touching. The magnitude of the current is the same in all four cases, and the directions of current flow are as indicated. For which configuration will the magnetic field at the center of the square formed by the wires be equal to zero? A) A B) B C) C D) D E) The field is equal to zero in all four cases. -Fig. 28-2 shows four different sets of wires that cross each other without actually touching. The magnitude of the current is the same in all four cases, and the directions of current flow are as indicated. For which configuration will the magnetic field at the center of the square formed by the wires be equal to zero?


A) A
B) B
C) C
D) D
E) The field is equal to zero in all four cases.

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

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C

FIGURE 28-7 FIGURE 28-7   -Two parallel segments of wire, of length L = 0.8m are positioned a distance d = 1 m apart as shown in Fig. 28-7. Calculate the magnetic field at point P located half-way between the two segments. (Each segment carries and electric current I = 10 A in the directions indicated.)  A) 8 μT B) 3 μT C) 1 μT D) 0.5μT E) 0 -Two parallel segments of wire, of length L = 0.8m are positioned a distance d = 1 m apart as shown in Fig. 28-7. Calculate the magnetic field at point P located half-way between the two segments. (Each segment carries and electric current I = 10 A in the directions indicated.)


A) 8 μT
B) 3 μT
C) 1 μT
D) 0.5μT
E) 0

F) D) and E)
G) C) and D)

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If two identical wires carrying a certain current in the same direction are placed parallel to each other, they will experience a force of repulsion.

A) True
B) False

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Two long parallel wires are placed side-by-side on a horizontal table. If the wires carry current in opposite directions,


A) one wire is lifted slightly as the other is forced against the table's surface
B) both wires are lifted slightly
C) both wires are forced against the table's surface
D) the wires attract each other
E) the wires repel each other

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

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Two parallel wires carry currents in the same direction. The direction of the force on one wire


A) is toward the other wire.
B) is perpendicular to the plane of the wires.
C) is away from the other wire.
D) is along the wire.
E) cannot be determined

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

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FIGURE 28-1 FIGURE 28-1   -Fig. 28-1 above shows two long wires carrying equal currents I<sub>1</sub> and I<sub>2</sub> flowing in opposite directions. Which of the arrows labeled A to D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire? A) A B) B C) C D) D E) The magnetic field is equal to zero at that point. -Fig. 28-1 above shows two long wires carrying equal currents I1 and I2 flowing in opposite directions. Which of the arrows labeled A to D correctly represents the direction of the magnetic field due to the wires at a point located at an equal distance d from each wire?


A) A
B) B
C) C
D) D
E) The magnetic field is equal to zero at that point.

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

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In using Ampere's law, the integral must be evaluated


A) around a path that lies in a plane.
B) in a clockwise direction.
C) around a closed path.
D) around a circular path.
E) in a counter-clockwise direction.

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

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The field near a long straight wire carrying a current is inversely proportional to the current flowing through the wire.

A) True
B) False

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Aluminum has a magnetic susceptibility χ = 1.7 × 10-5 at T = 300 K. What will be the magnetization of a small sample of aluminum placed in a 1.5 T magnetic field at T = 150 K?


A) 20.3 A/m
B) 1.5 A/m
C) 81.1 A/m
D) 40.6 A/m
E) 10.2 A/m

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

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Describe paramagnetism

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A paramagnetic material has no...

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A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long. If this solenoid carries a current of 12 A, what is the magnitude of the magnetic field at the center of the solenoid?


A) 16 mT
B) 4.9 mT
C) 15 mT
D) 6.0 mT
E) 9.0 mT

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

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A circular loop of wire of radius 10 cm carries a current of 6A. The magnitude of the magnetic field at the center of the loop is


A) 3.8 × 10-5 T.
B) 3.8 × 10-7 T.
C) 1.2 × 10-5 T.
D) 1.2 × 10-7 T.
E) 3.8 × 10-8 T.

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

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