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  Calculate the magnetic field at the center of a circular current loop of radius R divided by the magnetic field at a distance R away from a very long straight wire carrying the same current value I. (Note the loop and wire are not in electrical contact.)  A)  3.14 B)  1.00 C)  2.00 D)  0.318 E)  0.500 Calculate the magnetic field at the center of a circular current loop of radius R divided by the magnetic field at a distance R away from a very long straight wire carrying the same current value I. (Note the loop and wire are not in electrical contact.)


A) 3.14
B) 1.00
C) 2.00
D) 0.318
E) 0.500

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

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Two straight rods 60 cm long and 2.0 mm apart in a current balance carry currents of 18 A each in opposite directions. What mass must be placed on the upper rod to balance the magnetic force of repulsion?


A) 0.50 g
B) 0.99 g
C) 9.7 g
D) 4.3 g
E) 1.6 g

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

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A 1000-turn solenoid is 50 cm long and has a radius of 2.0 cm. It carries a current of 8.0 A. What is the magnetic field inside the solenoid near its center?


A) 2.0 * 10-2 T
B) 3.2 * 10-3 T
C) 4.0 * 10-4 T
D) 1.0 T
E) 2.0 * 10-4 T

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

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A wire of radius 0.6 cm carries a current of 10 A that is uniformly distributed over its cross section. Calculate the magnetic field strength at r = 0.3 cm divided by that at r = 0.9 cm.


A) 1.0
B) 0.75
C) 0.50
D) 2.0
E) 3.0

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

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  Two very long, parallel conducting wires carry equal currents in opposite directions. The numbered diagrams show end views of the wires and the resultant force vectors due to current flow in each wire. Which diagram best represents the direction of the forces? A)  1 B)  2 C)  3 D)  4 E)  5 Two very long, parallel conducting wires carry equal currents in opposite directions. The numbered diagrams show end views of the wires and the resultant force vectors due to current flow in each wire. Which diagram best represents the direction of the forces?


A) 1
B) 2
C) 3
D) 4
E) 5

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

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Gauss's law for magnetism summarizes the fact(s) that


A) the magnetic flux through a closed surface is zero.
B) the magnetic flux is given by Gauss's law for magnetism summarizes the fact(s)  that A)  the magnetic flux through a closed surface is zero. B)  the magnetic flux is given by   <sub>S</sub>B dA. C)  the existence of magnetic monopoles has yet to be verified. D)  there is no point in space from which magnetic field lines diverge. E)  all of the above are true. SB dA.
C) the existence of magnetic monopoles has yet to be verified.
D) there is no point in space from which magnetic field lines diverge.
E) all of the above are true.

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

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Diamagnetic materials


A) have very small values of magnetic susceptibility χ\chi m.
B) have negative values of magnetic susceptibility χ\chi m.
C) produce very small induced magnetic moments.
D) experience small repulsive forces when placed in external magnetic fields.
E) are described by all of these.

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

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A cylindrical bar magnet of radius 1.0 cm and length 10 cm has a magnetic dipole moment of magnitude m = 2.0 A · m2. What is the magnetic field just outside one end of the magnet?


A) 40 mT
B) 80 mT
C) 32 mT
D) 65 mT
E) 93 mT

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

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  An electron beam travels counterclockwise in a circle in the magnetic field produced by the Helmholtz coils, as shown. Assuming that Earth's field is downward, one can conclude that A)  the Helmholtz field equals Earth's field. B)  the current in the coils moves in the same direction as the electron beam. C)  the current in the coils moves in the direction opposite to the electron beam. D)  the Helmholtz field curves in the direction of the electron beam. E)  the Helmholtz field curves in a direction opposite to the electron beam. An electron beam travels counterclockwise in a circle in the magnetic field produced by the Helmholtz coils, as shown. Assuming that Earth's field is downward, one can conclude that


A) the Helmholtz field equals Earth's field.
B) the current in the coils moves in the same direction as the electron beam.
C) the current in the coils moves in the direction opposite to the electron beam.
D) the Helmholtz field curves in the direction of the electron beam.
E) the Helmholtz field curves in a direction opposite to the electron beam.

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

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A long solenoid with 15 turns per centimeter has a core of annealed iron. When the current is 1.00 A, the magnetic field inside the iron core is 2.46 T. The relative permeability Km is approximately


A) 1800
B) 1310
C) 7.64 * 10-4
D) 5.56 * 10-4
E) 1500

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

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At a certain instant of time a particle with charge q = 25 μ\mu C is located at x = 4.0 m, y = 2.0 m; its velocity at that time is v = -20 m/s  At a certain instant of time a particle with charge q = 25  \mu C is located at x = 4.0 m, y = 2.0 m; its velocity at that time is v = -20 m/s   . If you are at the origin, what do you measure as the magnitude of the magnetic field due to this moving point charge? A)  6.8 pT B)  1.1 pT C)  5.6 pT D)  2.2 pT E)  4.4 pT . If you are at the origin, what do you measure as the magnitude of the magnetic field due to this moving point charge?


A) 6.8 pT
B) 1.1 pT
C) 5.6 pT
D) 2.2 pT
E) 4.4 pT

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

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The top diagram shows the velocity of a positively charged particle. The direction of the magnetic field due to the moving charge at r is best represented by The top diagram shows the velocity of a positively charged particle. The direction of the magnetic field due to the moving charge at r is best represented by   A)  1 B)  2 C)  3 D)  4 E)  5


A) 1
B) 2
C) 3
D) 4
E) 5

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

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A long solenoid is wound around a silver core ( χ\chi m = -2.6 *10-5) and carries a current. If the core is removed while the current is held constant, the magnetic field inside the solenoid


A) remains constant.
B) increases by approximately 0.003%.
C) decreases by approximately 0.003%.
D) increases by approximately 0.007%.
E) decreases by approximately 0.006%.

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

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When the positive current in a long wire is flowing in a direction from S to N, it creates a magnetic field below the wire that is directed


A) from E to W.
B) from N to S.
C) from NE to SW.
D) from S to N.
E) from W to E.

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

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Use the following to answer the next question: Use the following to answer the next question:   -Two long parallel wires are a distance d apart (d = 6 cm)  and carry equal and opposite currents of 5 A. Point P is distance d from each of the wires. Calculate the magnitude of the magnetic field strength at point P. A)  2.9 * 10<sup>-5</sup> T B)  8.5*10<sup>-6</sup> T C)  3.3 *10<sup>-5</sup> T D)  1.7* 10<sup>-5</sup> T E)  none of the above -Two long parallel wires are a distance d apart (d = 6 cm) and carry equal and opposite currents of 5 A. Point P is distance d from each of the wires. Calculate the magnitude of the magnetic field strength at point P.


A) 2.9 * 10-5 T
B) 8.5*10-6 T
C) 3.3 *10-5 T
D) 1.7* 10-5 T
E) none of the above

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

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