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A very long straight current-carrying wire produces a magnetic field of 20 mT at a distance d from the wire. To measure a field of 5 mT due to this wire, you would have to go to a distance from the wire of


A) 16d.
B) 8d.
C) 4d.
D) 2d.
E) d 2\sqrt { 2 }

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

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A rectangular coil, with corners labeled ABCD, has length L and width w. It is placed between the poles of a magnet, as shown in the figure If there is a current I flowing through this coil in the direction shown, what is the direction of the force acting on section AB of this coil? A rectangular coil, with corners labeled ABCD, has length L and width w. It is placed between the poles of a magnet, as shown in the figure If there is a current I flowing through this coil in the direction shown, what is the direction of the force acting on section AB of this coil?   A)  perpendicular to and into the page B)  perpendicular to and out of the page C)  in the direction of the magnetic field D)  in the opposite direction of the magnetic field E)  The force is zero.


A) perpendicular to and into the page
B) perpendicular to and out of the page
C) in the direction of the magnetic field
D) in the opposite direction of the magnetic field
E) The force is zero.

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

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

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A charged particle moving along the +x-axis enters a uniform magnetic field pointing along the +z-axis. A uniform electric field is also present. Due to the combined effect of both fields, the particle does not change its velocity. What is the direction of the electric field?


A) along the -y-axis
B) along the +y-axis
C) along the -x-axis
D) along the +x-axis
E) along the -z-axis

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

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A flat circular coil of wire having 200 turns and diameter 6.0 cm carries a current of 7.0 A. It is placed in a magnetic field of 0.60 T0.60 \mathrm {~T} with the plane of the coil making an angle of 30° with the magnetic field. What is the magnitude of the magnetic torque on the coil?


A) 2.1 N ∙ m
B) 1.2 N ∙ m
C) 3.9 N ∙ m
D) 5.4 N ∙ m
E) 1.0 N ∙ m

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

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What is the force per meter on a straight wire carrying 5.0 A when it is placed in a magnetic field of 0.020 T so that the wire makes an angle of 27° with respect to the magnetic field lines.


A) 0.022 N/m
B) 0.045 N/m
C) 0.17 N/m
D) 0.26 N/m

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

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A proton is to orbit Earth at the equator using Earth's magnetic field to supply part of the necessary centripetal force. In what direction should the proton move?


A) upward
B) northward
C) southward
D) eastward
E) westward

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

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

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A flat rectangular loop of wire carrying a 4.0-A current is placed in a uniform 0.60-T magnetic field. The magnitude of the torque acting on this loop when the plane of the loop makes a 30° angle with the field is measured to be 1.1 N ∙ m. What is the area of this loop?


A) 0.20 m2
B) 0.40 m2
C) 0.26 m2
D) 0.80 m2
E) 0.53 m2

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

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A long, straight, horizontal wire carries current toward the east. An electron moves toward the east alongside and just south of the wire. What is the direction of the magnetic force on the electron?


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

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

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A horizontal wire carries a current straight toward you. From your point of view, the magnetic field caused by this current


A) points directly away from you.
B) points to the left.
C) circles the wire in a clockwise direction.
D) circles the wire in a counter-clockwise direction.

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

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A proton, with mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C, is sent with velocity 2.3×104 m/s2.3\times 10^4 \mathrm {~m} / \mathrm { s } in the +x direction into a region where there is a uniform electric field of magnitude 780  V/m {~V} / \mathrm { m } in the +y direction. What must be the magnitude and direction of the uniform magnetic field in the region if the proton is to pass through undeflected? Assume that the magnetic field has no x component and neglect gravitational effects.

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A proton is projected with a velocity of 7.0 km/s into a magnetic field of 0.60 T perpendicular to the motion of the proton. What is the magnitude of the magnetic force that acts on the proton? (e = 1.60 × 10-19C)


A) 0 N
B) 3.4 × 10-16 N
C) 4.2 × 10-16 N
D) 13 × 10-16 N
E) 6.7 × 10-16 N

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

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

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A charged particle moving along the +x-axis enters a uniform magnetic field pointing along the +z-axis. Because of an electric field along the +y-axis, the charge particle does not change velocity. What is the sign of this particle?


A) positive
B) negative
C) The particle could be either positive or negative.
D) None of the above choices is correct.

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

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How many turns should a 10-cm long ideal solenoid have if it is to generate a 1.5-mT magnetic field when 1.0 A of current runs through it? (μ0 = 4π × 10-7 T ∙ m/A)


A) 12
B) 15
C) 120
D) 1200
E) 3200

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

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The direction of the force on a current-carrying wire in a magnetic field is


A) perpendicular only to the current.
B) perpendicular only to the magnetic field.
C) perpendicular to both the current and the magnetic field.
D) in the direction opposite to the current.
E) in same direction as the current.

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

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A rigid rectangular loop, measuring 0.30 m by 0.40 m, carries a current of 5.5 A, as shown in the figure. A uniform external magnetic field of magnitude 2.9 T in the -x direction is present. Segment CD is in the xz-plane and forms a 35° angle with the z-axis, as shown. What is the magnitude of the torque that the magnetic field exerts on the loop? A rigid rectangular loop, measuring 0.30 m by 0.40 m, carries a current of 5.5 A, as shown in the figure. A uniform external magnetic field of magnitude 2.9 T in the -x direction is present. Segment CD is in the xz-plane and forms a 35° angle with the z-axis, as shown. What is the magnitude of the torque that the magnetic field exerts on the loop?   A)  1.1 N ∙ m B)  0.73 N ∙ m C)  1.3 N ∙ m D)  1.4 N ∙ m E)  1.6 N ∙ m


A) 1.1 N ∙ m
B) 0.73 N ∙ m
C) 1.3 N ∙ m
D) 1.4 N ∙ m
E) 1.6 N ∙ m

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

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A flat rectangular loop of wire is placed between the poles of a magnet, as shown in the figure. It has dimensions w = 0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the direction shown. The magnetic field due to the magnet is uniform and of magnitude 0.80 T. The loop rotates in the magnetic field and at one point the plane of the loop is parallel to the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field? A flat rectangular loop of wire is placed between the poles of a magnet, as shown in the figure. It has dimensions w = 0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the direction shown. The magnetic field due to the magnet is uniform and of magnitude 0.80 T. The loop rotates in the magnetic field and at one point the plane of the loop is parallel to the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field?   A)  0.00 N ∙ m B)  0.40 N ∙ m C)  0.48 N ∙ m D)  0.83 N ∙ m E)  0.96 N ∙ m


A) 0.00 N ∙ m
B) 0.40 N ∙ m
C) 0.48 N ∙ m
D) 0.83 N ∙ m
E) 0.96 N ∙ m

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

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