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An electron travels in the +x direction with a velocity of 1.5 *106 m/s. It enters an E * B velocity selector that utilizes a cross electric and magnetic field to produce a zero net force on the particle. The magnitude of the magnetic field is 0.10 T in the +y direction. The magnitude of the electric field required to produce a straight-line trajectory is


A) 1.5 * 105 V/m in the +z direction.
B) 1.5 *05 V/m in the -z direction.
C) 1.5 * 105 V/m in the +y direction.
D) 1.5 * 105 V/m in the -y direction.

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

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The SI units associated with magnetic permeability are


A) N·s/C.
B) N·s2/C.
C) N·s2/C2.
D) Hold on; the magnetic permeability is dimensionless.

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

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A 100-turn loop of wire whose area is 0.15 m2 carries 3.0 A of current. If a uniform magnetic field of 2.0 T makes an angle of 60° with the plane of the loop, the maximum torque on the loop is


A) zero.
B) 5.0 N·m.
C) 15 N·m.
D) 45 N·m.

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

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The energy of an electron is 100eV when it enters an E * B velocity selector that utilizes a cross electric and magnetic field to produce a zero net force on the particle. The magnitude of the magnetic field is 0.085T. The magnitude of the electric field required to produce a straight-line trajectory is


A) 5.0 *104 V/m.
B) 2.5 * 105 V/m.
C) 5.0 * 105 V/m.
D) 2.5 * 106 V/m.

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

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A Hall voltage is measured to be 15 μ\mu V across the 3.0-mm dimension of a slab of copper whose overall dimensions are 2.0 * 3.0 *25.4 mm. The current passing through the copper is 20.0 A, while the magnetic field is 0.010 T. The density of the charge carriers in the material is


A) 3.3 *1024 m-3.
B) 2.8 *1025 m-3.
C) 4.2* 1025 m-3.

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

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The force produced by two parallel wires with currents running in the same direction will be


A) attractive.
B) repulsive.
C) along the axis of symmetry.
D) zero.

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

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A rectangular loop of wire whose dimensions are 15 cm * 25 cm carries a current of 5.0 A. The loop is in a uniform magnetic field of 1.5 T whose direction is perpendicular to the plane of the loop. The torque acting on the loop is


A) zero.
B) 0.24 N·m.
C) 0.28 N·m.
D) 0.35 N·m.

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

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The potential energy of a magnetic moment μ\mu = 1.0 (2i + j) A·m2 in a magnetic field given by 1.5 (2i + k) mT is


A) -6.0 mJ.
B) -3.0 mJ.
C) 3.0 mJ.
D) -1.5 mJ.

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

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The charge carriers in a metal are typically negative. A positive charge carrier


A) will not change the sign of the Hall potential.
B) will change the sign of the Hall potential.
C) will have a zero Hall potential.
D) will produce a Hall effect across the other face of the metal.

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

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A loop of wire has an area of 0.10 m2 and carries 15 mA of current. The magnetic moment of the loop is


A) 0.001 A·m2.
B) 0.15 A/m2.
C) 71 *10-5 A2/m.
D) 2.25 A2/m2.

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

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Materials with a small positive magnetic susceptibility are called


A) paramagnets.
B) diamagnets.
C) ferromagnets.
D) permanent magnets.

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

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The current in a wire is directed along the x axis in a uniform magnetic field that is directed along the negative x axis. The force on the wire is along the


A) x axis.
B) -y axis.
C) z axis.
D) There is no force on the wire.

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

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The magnitude of the torque produced by a magnetic moment μ\mu = 2.0 (2i + j) A·m2 in a magnetic field given by 1.5 (i + 4k) mT is


A) zero.
B) 3 mN·m.
C) 9 mN·m.
D) 27 mN·m.

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

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A force per unit length of 48 μ\mu N/m is produced when two wires separated by 1.5 mm both carry the same current. The current the wires carry is


A) 0.36 A.
B) 0.60 A.
C) 0.77 A.
D) 1.0 A.

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

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An electron is accelerated to an energy of 100 eV and then enters a magnetic field of strength 0.15 T. The resulting radius of the electron's trajectory is


A) 2.2 * 10-4 m.
B) 3.3 *10-4 m.
C) 4.4 * 10-4 m.
D) 5.5 * 10-4 m.

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

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The SI unit associate with the magnetic moment μ\mu , is


A) ampere·m2.
B) ampere/m2.
C) ampere2·m.
D) ampere2/m2.

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

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One side of a square loop (dimensions of 15 cm * 15 cm) runs parallel to a current-carrying wire Iw = 5.0 A, and 3.0 A runs through the loop. The net force on the loop is 2.7 * 10-6 N. The distance between the side of the loop and the wire is


A) 5.0 cm.
B) 10 cm.
C) 15 cm.
D) 20 cm.

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

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For a magnetic material the ratio of the magnetic permeability to the permeability of free space is 11. The material is placed in a uniform magnetic field of strength 1.0 mT. The magnetic field produced in the material is approximately


A) 11 mT.
B) 10 mT.
C) 1.2 mT.
D) 1.0 mT.

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

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Two parallel wires separated by 1.5 cm both carry 1.5 A of current. The magnitude of the force per unit length on one of the wires is


A) 7.5 μ\mu N/m.
B) 15 μ\mu N/m.
C) 20 μ\mu N/m.
D) 30. μ\mu N/m.

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

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A Hall voltage of 15 μ\mu V is measured across a 4.0-mm side of a metal slab immersed in a magnetic field whose strength is 0.150 T. The average velocity of the charges is


A) 2.5 cm/s.
B) 5.0 cm/s.
C) 7.5 cm/s.
D) The value cannot be obtained from the information given.

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

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