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A proton,moving west,enters a magnetic field.Because of this magnetic field the proton curves upward.We may conclude that the magnetic field must have a component


A) towards the west.
B) towards the east.
C) towards the south.
D) towards the north.
E) downward.

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

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How much current must pass through a 400-turn ideal solenoid that is 4.0 cm long to generate a 1.0-T magnetic field at the center? (μ0 = 4π × 10-7 T ∙ m/A)


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

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

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A proton has an initial velocity to the south but is observed to curve upward as the result of a magnetic field.This magnetic field must have a component


A) to the west.
B) to the east.
C) upward.
D) downward.
E) to the north.

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

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A straight wire carries a current of 10 A at an angle of 30° with respect to the direction of a uniform 0.30-T magnetic field.Find the magnitude of the magnetic force on a 0.50-m length of the wire.


A) 0.75 N
B) 1.5 N
C) 3.0 N
D) 6.0 N

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

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The maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is


A) 0°.
B) 45°.
C) 90°.
D) 135°.

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

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An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31kg)


A) 2.2 × 107 m/s
B) 1.9 × 107 m/s
C) 1.9 × 106 m/s
D) 3.0 × 107 m/s
E) 0.80 × 107 m/s

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

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The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 1 cm from this wire?


A) 2 μT
B) 4 μT
C) 6 μT
D) 8 μT
E) 10 μT

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

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Two parallel straight wires are 7.0 cm apart and 50 m long.Each one carries a 18-A current in the same direction.One wire is securely anchored,and the other is attached in the center to a movable cart.If the force needed to move the wire when it is not attached to the cart is negligible,with what magnitude force does the wire pull on the cart? (μ0 = 4π × 10-7 T ∙ m/A)


A) 46 mN
B) 37 mN
C) 66 mN
D) 93 mN

E) C) and D)
F) A) and B)

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An electron,moving west,enters a magnetic field.Because of this field the electron curves upward.We may conclude that the magnetic field must have a component


A) towards the north.
B) towards the south.
C) upward.
D) downward.
E) towards the west.

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

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An ideal solenoid that is 34.0 cm long is carrying a current of 2.00 A.If the magnitude of the magnetic field generated at the center of the solenoid is 9.00 mT,how many turns of wire does this solenoid contain? (μ0 = 4π × 10-7 T ∙ m/A)


A) 860
B) 1590
C) 2320
D) 3180
E) 1220

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

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A straight bar magnet is initially 4 cm long,with the north pole on the right and the south pole on the left.If you cut the magnet in half,the right half will


A) contain only a north pole.
B) contain a north pole on the right and a south pole on the left.
C) contain only a south pole.
D) no longer contain any poles.

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

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The magnetic field at a distance of 2 cm from a long straight current-carrying wire is 4 μT.What is the magnetic field at a distance of 4 cm from this wire?


A) 2 μT
B) 4 μT
C) 6 μT
D) 8 μT
E) 10 μT

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

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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 strength of the magnetic field midway between the two wires? (μ0 = 4π × 10-7 T ∙ m/A)


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

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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 while the other wire is forced downward against the table's surface.
B) both wires are lifted slightly.
C) the wires pull toward each other.
D) the wires push away from each other.

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

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A particle carrying a charge of +e travels in a circular path of radius R in a uniform magnetic field.If instead the particle carried a charge of +2e,the radius of the circular path would have been


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

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

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If you were to cut a small permanent bar magnet in half,


A) one piece would be a magnetic north pole and the other piece would be a south pole.
B) neither piece would be magnetic.
C) each piece would in itself be a smaller bar magnet with both north and south poles.
D) None of these statements is true.

E) A) and C)
F) C) and D)

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A straight wire that is 0.60 m and carrying a current of 2.0 A is placed at an angle with respect to the magnetic field of strength 0.30 T.If the wire experiences a force of magnitude 0.18 N,what angle does the wire make with respect to the magnetic field?


A) 20°
B) 25°
C) 30°
D) 35°
E) 60°

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

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Two long parallel wires placed side-by-side on a horizontal table carry identical size currents in opposite directions.The wire on your right carries current directly toward you,and the wire on your left carries current directly away from you.From your point of view,the magnetic field at a point exactly midway between the two wires


A) points upward.
B) points downward.
C) points toward you.
D) points away from you.
E) is zero.

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

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Consider an ideal solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire windings.If the radius of the solenoid is doubled to 2b,but all the other quantities remain the same,the magnetic field inside the solenoid will


A) remain the same.
B) become twice as strong as initially.
C) become one-half as strong as initially.
D) become four times as strong as initially.
E) become one-fourth as strong as initially.

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

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Two long parallel wires that are 0.40 m apart carry currents of 10 A in opposite directions.What is the magnetic field strength in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other? (μ0 = 4π × 10-7 T ∙ m/A)


A) 3.3 µT
B) 6.7 µT
C) 33 µT
D) 67 µT

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

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