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The magnetic field outside a long straight current-carrying wire depends on the distance R from the wire axis according to:


A) R
B) 1/R
C) 1/R2
D) 1/R3
E) 1/R3/2

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

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Magnetic field lines inside the solenoid shown are: Magnetic field lines inside the solenoid shown are:   A)  clockwise circles as one looks down the axis from the top of the page B)  counterclockwise circles as one looks down the axis from the top of the page C)  toward the top of the page D)  toward the bottom of the page E)  in no direction since B = 0


A) clockwise circles as one looks down the axis from the top of the page
B) counterclockwise circles as one looks down the axis from the top of the page
C) toward the top of the page
D) toward the bottom of the page
E) in no direction since B = 0

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

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Two long straight wires pierce the plane of the paper at vertices of an equilateral triangle as shown below. They each carry 2 A, out of the paper. The magnetic field at the third vertex (P) has magnitude (in T) : Two long straight wires pierce the plane of the paper at vertices of an equilateral triangle as shown below. They each carry 2 A, out of the paper. The magnetic field at the third vertex (P)  has magnitude (in T) :   A)  1.0 *10<sup>-</sup><sup>5</sup> B)  1.7* 10<sup>-</sup><sup>5</sup> C)  2.0 * 10<sup>-</sup><sup>5</sup> D)  5.0 * 10<sup>-</sup><sup>6</sup> E)  8.7 *10<sup>-</sup><sup>6</sup>


A) 1.0 *10-5
B) 1.7* 10-5
C) 2.0 * 10-5
D) 5.0 * 10-6
E) 8.7 *10-6

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

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A long straight cylindrical shell carries current i uniformly distributed over its cross section. The magnitude of the magnetic field is greatest:


A) at the inner surface of the shell
B) at the outer surface of the shell
C) inside the shell near the middle
D) in hollow region near the inner surface
E) near the center of the hollow region

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

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The magnetic field a distance 2 cm from a long straight current-carrying wire is 2 *10-5 T. The current in the wire is:


A) 0.16 A
B) 1.0 A
C) 2.0 A
D) 4.0 A
E) 25 A

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

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A long straight wire carrying a 3.0 A current enters a room through a window 1.5 m high and 1.0 m wide. The path integral A long straight wire carrying a 3.0 A current enters a room through a window 1.5 m high and 1.0 m wide. The path integral   around the window frame has the value (in T.m) : A)  0.20 B)  2.5* 10<sup>-</sup><sup>7</sup> C)  3.0 * 10<sup>-</sup><sup>7</sup> D)  3.8 *10<sup>-</sup><sup>6</sup> E)  none of these around the window frame has the value (in T.m) :


A) 0.20
B) 2.5* 10-7
C) 3.0 * 10-7
D) 3.8 *10-6
E) none of these

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

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Electrons are going around a circle in a counterclockwise direction as shown. At the center of the circle they produce a magnetic field that is: Electrons are going around a circle in a counterclockwise direction as shown. At the center of the circle they produce a magnetic field that is:   A)  into the page B)  out of the page C)  to the left D)  to the right E)  zero


A) into the page
B) out of the page
C) to the left
D) to the right
E) zero

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

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The diagram shows three equally spaced wires that are perpendicular to the page. The currents are all equal, two being out of the page and one being into the page. Rank the wires according to the magnitudes of the magnetic forces on them, from least to greatest. The diagram shows three equally spaced wires that are perpendicular to the page. The currents are all equal, two being out of the page and one being into the page. Rank the wires according to the magnitudes of the magnetic forces on them, from least to greatest.   A)  1, 2, 3 B)  2, 1 and 3 tie C)  2 and 3 tie, then 1 D)  1 and 3 tie, then 2 E)  3, 2, 1


A) 1, 2, 3
B) 2, 1 and 3 tie
C) 2 and 3 tie, then 1
D) 1 and 3 tie, then 2
E) 3, 2, 1

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

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The magnitude of the magnetic field at point P, at the center of the semicircle shown, is given by:  The magnitude of the magnetic field at point P, at the center of the semicircle shown, is given by:   A)  2 \mu <sub>0</sub><sub>i</sub>/R<sup>2</sup> B)   \mu <sub>0</sub>i/2  \pi R C)   \mu <sub>0</sub>i/4  \pi R D)   \mu <sub>0</sub>i/2R E)   \mu <sub>0</sub>i/4R


A) 2 μ\mu 0i/R2
B) μ\mu 0i/2 π\pi R
C) μ\mu 0i/4 π\pi R
D) μ\mu 0i/2R
E) μ\mu 0i/4R

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

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Four long straight wires carry equal currents into the page as shown. The magnetic force exerted on wire F is: Four long straight wires carry equal currents into the page as shown. The magnetic force exerted on wire F is:   A)  north B)  east C)  south D)  west E)  zero


A) north
B) east
C) south
D) west
E) zero

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

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If R is the distance from a magnetic dipole, then the magnetic field it produces is proportional to:


A) R
B) 1/R
C) R2
D) 1/R2
E) 1/R3

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

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E

In Ampere's law, In Ampere's law,   the direction of the integration around the path: A)  must be clockwise B)  must be counterclockwise C)  must be such as to follow the magnetic field lines D)  must be along the wire in the direction of the current E)  none of the above the direction of the integration around the path:


A) must be clockwise
B) must be counterclockwise
C) must be such as to follow the magnetic field lines
D) must be along the wire in the direction of the current
E) none of the above

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

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A hollow cylindrical conductor (inner radius = a, outer radius = b) carries a current i uniformly spread over its cross section. Which graph below correctly gives B as a function of the distance r from the center of the cylinder? A hollow cylindrical conductor (inner radius = a, outer radius = b)  carries a current i uniformly spread over its cross section. Which graph below correctly gives B as a function of the distance r from the center of the cylinder?   A)  I B)  II C)  III D)  IV E)  V


A) I
B) II
C) III
D) IV
E) V

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

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A wire carrying a large current i from east to west is placed over an ordinary magnetic compass. The end of the compass needle marked "N" will point:


A) north
B) south
C) east
D) west
E) the compass will act as an electric motor, hence the needle will keep rotating

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

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Two long straight current-carrying parallel wires cross the x axis and carry currents I and 3I in the same direction, as shown. At what value of x is the net magnetic field zero? Two long straight current-carrying parallel wires cross the x axis and carry currents I and 3I in the same direction, as shown. At what value of x is the net magnetic field zero?   A)  0 B)  1 C)  3 D)  5 E)  7


A) 0
B) 1
C) 3
D) 5
E) 7

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

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C

Lines of the magnetic field produced by a long straight wire carrying a current are:


A) in the direction of the current
B) opposite to the direction of the current
C) leave the wire radially
D) are circles concentric with the wire
E) are lines similar to those produced by a bar magnet

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

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E

A toroid with a square cross section carries current i. The magnetic field has its largest magnitude:


A) at the center of the hole
B) just inside the toroid at its inner surface
C) just inside the toroid at its outer surface
D) at any point inside (the field is uniform)
E) at none of the above

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

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Two long straight wires enter a room through a window. One carries a current of 3.0 A into the room while the other carries a current of 5.0 A out. The magnitude in T.m of the path integral Two long straight wires enter a room through a window. One carries a current of 3.0 A into the room while the other carries a current of 5.0 A out. The magnitude in T.m of the path integral   around the window frame is: A)  2.5 *10<sup>-</sup><sup>6 </sup> T .m B)  3.8 * 10<sup>-</sup><sup>6</sup> T .m C)  6.3 *10<sup>-</sup><sup>6 </sup>T .m D)  1.0 *10<sup>-</sup><sup>5 </sup>T .m E)  none of these around the window frame is:


A) 2.5 *10-6 T .m
B) 3.8 * 10-6 T .m
C) 6.3 *10-6 T .m
D) 1.0 *10-5 T .m
E) none of these

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

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The diagram shows three arrangements of circular loops, centered on vertical axes and carrying identical currents in the directions indicated. Rank the arrangements according to the magnitudes of the magnetic fields at the midpoints between the loops on the central axes. The diagram shows three arrangements of circular loops, centered on vertical axes and carrying identical currents in the directions indicated. Rank the arrangements according to the magnitudes of the magnetic fields at the midpoints between the loops on the central axes.   A)  1, 2, 3 B)  2, 1, 3 C)  2, 3, 1 D)  3, 2, 1 E)  3, 1, 2


A) 1, 2, 3
B) 2, 1, 3
C) 2, 3, 1
D) 3, 2, 1
E) 3, 1, 2

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

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Two long straight wires are parallel and carry current in the same direction. The currents are 8.0 and 12 A and the wires are separated by 0.40 cm. The magnetic field in tesla at a point midway between the wires is:


A) 0
B) 4.0 *10-4
C) 8.0 * 10-4
D) 12 *10-4
E) 20 * 10-4

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

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