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One reason why we know that magnetic fields are not the same as electric fields is because the force exerted on a charge +q


A) is in opposite directions in electric and magnetic fields.
B) is in the same direction in electric and magnetic fields.
C) is parallel to a magnetic field and perpendicular to an electric field.
D) is parallel to an electric field and perpendicular to a magnetic field.
E) is zero in both if the charge is not moving.

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

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A proton with a kinetic energy of 0.20 keV follows a circular path in a region where the magnetic field is uniform and has a magnitude of 60 mT. What is the radius of this path?


A) 4.1 cm
B) 2.9 cm
C) 3.4 cm
D) 5.1 cm
E) 2.4 cm

F) All of the above
G) None of the above

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A charged particle (mass = m, charge = q > 0) moves in a region of space where the magnetic field has a constant magnitude of B and a downward direction. What is the magnetic force on the particle at an instant when it is moving horizontally toward the north with speed v?


A) qvB toward the east
B) Zero
C) qvB toward the west
D) qvB upward
E) qvB toward the south

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

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A straight 10-cm wire bent at its midpoint so as to form an angle of 90° carries a current of 10 A. It lies in the xy plane in a region where the magnetic field is in the positive z direction and has a constant magnitude of 3.0 mT. What is the magnitude of the magnetic force on this wire?


A) 3.2 mN
B) 2.1 mN
C) 5.3 mN
D) 4.2 mN
E) 6.0 mN

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

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The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is   A) E. B) F. C) G. D) H. E) A.


A) E.
B) F.
C) G.
D) H.
E) A.

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

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When a ferromagnetic material that has been magnetized is brought to a temperature greater than the Curie temperature, what happens to its residual magnetism?


A) Nothing happens to the residual magnetism.
B) The residual magnetism disappears.
C) The residual magnetism reaches it's highest value.
D) All the magnetic domains causing magnetism become a single domain.
E) The material of the magnet melts causing currents that are magnetic.

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

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The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is   A) D. B) E. C) F. D) G. E) H.


A) D.
B) E.
C) F.
D) G.
E) H.

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

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An electron moving in the positive x direction experiences a magnetic force in the positive z direction. If Bx = 0, what is the direction of the magnetic field?


A) negative y direction
B) positive y direction
C) negative z direction
D) positive z direction
E) negative x direction

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

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A straight wire carries a current of 40 A in a uniform magnetic field (magnitude = 80 mT) . If the force per unit length on this wire is 2.0 N/m, determine the angle between the wire and the magnetic field.


A) either 39° or 141°
B) either 25° or 155°
C) either 70° or 110°
D) either 42° or 138°
E) either 65° or 115°

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

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The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H.   When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is A) A. B) B. C) C. D) D. E) E. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is


A) A.
B) B.
C) C.
D) D.
E) E.

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

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A straight wire is bent into the shape shown. Determine the net magnetic force on the wire when the current I travels in the direction shown in the magnetic field A straight wire is bent into the shape shown. Determine the net magnetic force on the wire when the current I travels in the direction shown in the magnetic field   . ​   ​ A) 2IBL in the −z direction B) 2IBL in the +z direction C) 4IBL in the +z direction D) 4IBL in the −z direction E) zero . ​ A straight wire is bent into the shape shown. Determine the net magnetic force on the wire when the current I travels in the direction shown in the magnetic field   . ​   ​ A) 2IBL in the −z direction B) 2IBL in the +z direction C) 4IBL in the +z direction D) 4IBL in the −z direction E) zero


A) 2IBL in the −z direction
B) 2IBL in the +z direction
C) 4IBL in the +z direction
D) 4IBL in the −z direction
E) zero

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

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On the average, in a ferromagnetic domain permanent atomic magnetic moments are aligned ____ to one another.


A) antiparallel
B) parallel
C) perpendicular
D) alternately parallel and antiparallel
E) randomly relative

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

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A rectangular coil (0.20 m × 0.80 m) has 200 turns and is in a uniform magnetic field of 0.30 T. When the orientation of the coil is varied through all possible positions, the maximum torque on the coil by magnetic forces is 0.080 N ⋅ m. What is the current in the coil?


A) 5.0 mA
B) 1.7 A
C) 8.3 mA
D) 1.0 A
E) 42 mA

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

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A current of 4.0 A is maintained in a single circular loop having a circumference of 80 cm. An external magnetic field of 2.0 T is directed so that the angle between the field and the plane of the loop is 20°. Determine the magnitude of the torque exerted on the loop by the magnetic forces acting upon it.


A) 0.41 N ⋅ m
B) 0.14 N ⋅ m
C) 0.38 N ⋅ m
D) 0.27 N ⋅ m
E) 0.77 N ⋅ m

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

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A proton is accelerated from rest through a potential difference of 150 V. It then enters a region of uniform magnetic field and moves in a circular path (radius = 12 cm) . What is the magnitude of the magnetic field in this region?


A) 18 mT
B) 12 mT
C) 15 mT
D) 22 mT
E) 10 mT

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

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An explorer walks into a lab in a science building. She has a compass in her hand and finds that the south pole of her compass points toward the room's east wall when she is nearer that wall and toward the west wall when she is nearer that wall. You could explain this if magnetized metal had been installed in the east and west walls with north poles pointing into the room. If no magnetic material was installed in the north or south walls of the room, she would expect that


A) the south pole of the compass would tend to point toward those walls.
B) the north pole of the compass would tend to point toward those walls.
C) the compass needle would not point in any particular direction.
D) the north pole of the compass needle would tend to point toward the centers of those walls, but the south pole would tend to point toward the sides of those walls.
E) the south pole of the compass needle would tend to point toward the centers of those walls, but the north pole would tend to point toward the sides of those walls.

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

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You stand near the Earth's equator. A positively charged particle that starts moving parallel to the surface of the Earth in a straight line directed east is initially deflected upwards. If you know there are no electric fields in the vicinity, a possible reason why the particle does not initially acquire a downward component of velocity is because near the equator the magnetic field lines of the Earth are directed


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

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

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A proton is accelerated from rest through a potential difference of 2.5 kV and then moves perpendicularly through a uniform 0.60-T magnetic field. What is the radius of the resulting path?


A) 15 mm
B) 12 mm
C) 18 mm
D) 24 mm
E) 8.5 mm

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

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What is the radius of curvature of the path of a 3.0-keV proton in a perpendicular magnetic field of magnitude 0.80 T?


A) 9.9 mm
B) 1.1 cm
C) 1.3 cm
D) 1.4 cm
E) 7.6 mm

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

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An unusual lightning strike has a vertical portion with a positive current of +400 A upwards. The Earth's magnetic field at that location is parallel to the ground and has a magnitude of 30 μT. In N, the force exerted by the Earth's magnetic field on the 25-m-long current is


A) 0.
B) 0.012 N, East.
C) 0.012 N, West.
D) 0.30 N, West.
E) 300 N, East.

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

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