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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 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 of the path integral   around the window frame is: A) 2.5 * 10<sup>-6 </sup>T.m B) 3.8 *10<sup>-6</sup> T.m C) 6.3 F*10<sup>-6 </sup>T.m D) 1.0 * 10<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 F*10-6 T.m
D) 1.0 * 10-5 T.m
E) none of these

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

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

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A solenoid is 3.0 cm long and has a radius of 0.50 cm.It is wrapped with 500 turns of wire carrying a current of 2.0 A.The magnetic field at the center of the solenoid is:


A) 9.9 * 10-8 T
B) 1.3 * 10-3 T
C) 4.2 * 10-2 T
D) 16 T
E) 20 T

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

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Two long ideal solenoids (with radii 20 mm and 30 mm respectively) have the same number of turns of wire per unit length.The smaller solenoid is mounted inside the larger, along a common axis.It is observed that there is zero magnetic field within the inner solenoid.The current in the inner solenoid must be:


A) two-thirds the current in the outer solenoid
B) one-third the current in the outer solenoid
C) twice the current in the outer solenoid
D) half the current in the outer solenoid
E) the same as the current in the outer solenoid

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

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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 E)
G) All of the above

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


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

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

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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) C) and D)
G) All of the above

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

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The magnetic field The magnetic field   inside a long ideal solenoid is independent of: A) the current B) the number of turns of wire C) the spacing of the windings D) the cross-sectional area E) the direction of the current inside a long ideal solenoid is independent of:


A) the current
B) the number of turns of wire
C) the spacing of the windings
D) the cross-sectional area
E) the direction of the current

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

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In Ampere's law, In Ampere's law,   the symbol   is: A) an infinitesimal piece of the wire that carries current i B) in the direction of   C) perpendicular to   D) a vector whose magnitude is the length of the wire that carries current i E) none of the above the symbol In Ampere's law,   the symbol   is: A) an infinitesimal piece of the wire that carries current i B) in the direction of   C) perpendicular to   D) a vector whose magnitude is the length of the wire that carries current i E) none of the above is:


A) an infinitesimal piece of the wire that carries current i
B) in the direction of In Ampere's law,   the symbol   is: A) an infinitesimal piece of the wire that carries current i B) in the direction of   C) perpendicular to   D) a vector whose magnitude is the length of the wire that carries current i E) none of the above
C) perpendicular to In Ampere's law,   the symbol   is: A) an infinitesimal piece of the wire that carries current i B) in the direction of   C) perpendicular to   D) a vector whose magnitude is the length of the wire that carries current i E) none of the above
D) a vector whose magnitude is the length of the wire that carries current i
E) none of the above

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

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In the figure, the current element In the figure, the current element   , the point P, and the three vectors (1, 2, 3) are all in the plane of the page.The direction of   , due to this current element, at the point P is:   A) in the direction marked  1  B) in the direction marked  2  C) in the direction marked  3  D) out of the page E) into the page , the point P, and the three vectors (1, 2, 3) are all in the plane of the page.The direction of In the figure, the current element   , the point P, and the three vectors (1, 2, 3) are all in the plane of the page.The direction of   , due to this current element, at the point P is:   A) in the direction marked  1  B) in the direction marked  2  C) in the direction marked  3  D) out of the page E) into the page , due to this current element, at the point P is: In the figure, the current element   , the point P, and the three vectors (1, 2, 3) are all in the plane of the page.The direction of   , due to this current element, at the point P is:   A) in the direction marked  1  B) in the direction marked  2  C) in the direction marked  3  D) out of the page E) into the page


A) in the direction marked "1"
B) in the direction marked "2"
C) in the direction marked "3"
D) out of the page
E) into the page

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

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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 B)
G) B) and E)

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A toroid has a square cross section with the length of an edge equal to the radius of the inner surface.The ratio of the magnitude of the magnetic field at the inner surface to the magnitude of the field at the outer surface is:


A) 1/4
B) 1/2
C) 1
D) 2
E) 4

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

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


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

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

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In an overhead straight wire, the current is north.The magnetic field due to this current, at our point of observation, is:


A) east
B) up
C) north
D) down
E) west

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

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Which graph correctly gives the magnitude of the magnetic field outside an infinitely long, very thin, straight current-carrying wire as a function of the distance r from the wire? Which graph correctly gives the magnitude of the magnetic field outside an infinitely long, very thin, straight current-carrying wire as a function of the distance r from the wire?   A) I B) II C) III D) IV E) V


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

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

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A constant current is sent through a helical coil made of flexible wire.The coil:


A) tends to get shorter
B) tends to get longer
C) tends to rotate about its axis
D) produces zero magnetic field at its center
E) none of the above

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

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In Ampere's law, In Ampere's law,   , the integration must be over any: A) surface B) closed surface C) path D) closed path E) closed path that surrounds all the current producing  , the integration must be over any:


A) surface
B) closed surface
C) path
D) closed path
E) closed path that surrounds all the current producing In Ampere's law,   , the integration must be over any: A) surface B) closed surface C) path D) closed path E) closed path that surrounds all the current producing

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

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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>i/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) " (\mu\) 0i/4R"

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

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Two parallel long wires carry the same current and repel each other with a force F per unit length.If both these currents are doubled and the wire separation tripled, the force per unit length becomes:


A) 2F/9
B) 4F/9
C) 2F/3
D) 4F/3
E) 6F

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

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