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A segment of wire of total length 3.0 m carries a 15-A current and is formed into a semicircle. Determine the magnitude of the magnetic field at the center of the circle along which the wire is placed.


A) 1.6 μT
B) 4.9 μT
C) 1.0 μT
D) 9.8 μT
E) 15 μT

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

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What is the magnitude of the magnetic field at point P in the figure if a = 2.0 cm, b = 4.5 cm, and I = 5.0 A? What is the magnitude of the magnetic field at point P in the figure if a = 2.0 cm, b = 4.5 cm, and I = 5.0 A? A) 87 μT, into the paper B) 87 μT, out of the paper C) 0.23 mT, out of the paper D) 0.23 mT, into the paper E) 23 μT, into the paper


A) 87 μT, into the paper
B) 87 μT, out of the paper
C) 0.23 mT, out of the paper
D) 0.23 mT, into the paper
E) 23 μT, into the paper

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

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We find that 2N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in the loops alternates in direction from loop to loop as seen from above. Thus the current in the first loop is counterclockwise, in the next clockwise, up to the last loop where it is again clockwise. The magnitude of the magnetic field at the center of the loops is


A) 0.
B)
We find that 2N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in the loops alternates in direction from loop to loop as seen from above. Thus the current in the first loop is counterclockwise, in the next clockwise, up to the last loop where it is again clockwise. The magnitude of the magnetic field at the center of the loops is A) 0. B) . C) . D) . E) . .
C)
We find that 2N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in the loops alternates in direction from loop to loop as seen from above. Thus the current in the first loop is counterclockwise, in the next clockwise, up to the last loop where it is again clockwise. The magnitude of the magnetic field at the center of the loops is A) 0. B) . C) . D) . E) . .
D)
We find that 2N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in the loops alternates in direction from loop to loop as seen from above. Thus the current in the first loop is counterclockwise, in the next clockwise, up to the last loop where it is again clockwise. The magnitude of the magnetic field at the center of the loops is A) 0. B) . C) . D) . E) . .
E)
We find that 2N current loops are coplanar and coaxial. The first has radius a and current I. The second has radius 2a and current 2I, and the pattern is repeated up to the Nth, which has radius Na and current NI. The current in the loops alternates in direction from loop to loop as seen from above. Thus the current in the first loop is counterclockwise, in the next clockwise, up to the last loop where it is again clockwise. The magnitude of the magnetic field at the center of the loops is A) 0. B) . C) . D) . E) . .

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

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A long solenoid (1000 turns/m) carries a current of 25 mA and has an inside radius of 2.0 cm. A long wire which is parallel to and 4.0 cm from the axis of the solenoid carries a current of 6.0 A. What is the magnitude of the magnetic field at a point on the axis of the solenoid?


A) 51 μT
B) 61 μT
C) 43 μT
D) 81 μT
E) 1.4 μT

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

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A long straight wire (diameter = 2.0 mm) carries a current of 40 A. What is the magnitude of the magnetic field 1.5 mm from the axis of the wire?


A) 3.0 mT
B) 12 mT
C) 5.3 mT
D) 7.4 mT
E) 8.0 mT

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

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The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)


A)
The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)
B)
The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)
C)
The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)
D)
The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)
E)
The segment of wire (total length including portions of incoming and outgoing wire = 6R) is formed into the shape shown and carries a current I. What is the magnitude of the resulting magnetic field at the point P? A) B) C) D) E)

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

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Each of two parallel wires separated by 6.0 mm carries a 40-A current. These two currents are in the same direction. Determine the magnitude of the magnetic field at a point that is 5.0 mm from each of the wires.


A) 2.6 mT
B) zero
C) 1.9 mT
D) 1.6 mT
E) 3.2 mT

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

Correct Answer

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Two parallel and coaxial current loops of radius a are placed a distance 2L apart. The current in each ring circulates in the same direction. At a point on the axis half way between the loops the magnetic field in T has magnitude


A) 0.
B)
Two parallel and coaxial current loops of radius a are placed a distance 2L apart. The current in each ring circulates in the same direction. At a point on the axis half way between the loops the magnetic field in T has magnitude A) 0. B) . C) . D) . E) . .
C)
Two parallel and coaxial current loops of radius a are placed a distance 2L apart. The current in each ring circulates in the same direction. At a point on the axis half way between the loops the magnetic field in T has magnitude A) 0. B) . C) . D) . E) . .
D)
Two parallel and coaxial current loops of radius a are placed a distance 2L apart. The current in each ring circulates in the same direction. At a point on the axis half way between the loops the magnetic field in T has magnitude A) 0. B) . C) . D) . E) . .
E)
Two parallel and coaxial current loops of radius a are placed a distance 2L apart. The current in each ring circulates in the same direction. At a point on the axis half way between the loops the magnetic field in T has magnitude A) 0. B) . C) . D) . E) . .

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

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Two long parallel wires are separated by 6.0 mm. The current in one of the wires is twice the other current. If the magnitude of the force on a 3.0-m length of one of the wires is equal to 8.0 μN, what is the greater of the two currents?


A) 0.20 A
B) 0.40 A
C) 40 mA
D) 20 mA
E) 0.63 A

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

Correct Answer

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The figure shows a cross section of three parallel wires each carrying a current of 24 A. The currents in wires B and C are out of the paper, while that in wire A is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0-m length of wire A? The figure shows a cross section of three parallel wires each carrying a current of 24 A. The currents in wires B and C are out of the paper, while that in wire A is into the paper. If the distance R = 5.0 mm, what is the magnitude of the force on a 4.0-m length of wire A? A) 15 mN B) 77 mN C) 59 mN D) 12 mN E) 32 mN


A) 15 mN
B) 77 mN
C) 59 mN
D) 12 mN
E) 32 mN

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

Correct Answer

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Gauss's Law states that the net electric flux, Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . , through any closed surface is proportional to the charge enclosed: Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . . The analogous formula for magnetic fields is:


A)
Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . .
B)
Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . .
C)
Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . .
D)
Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . .
E)
Gauss's Law states that the net electric flux, , through any closed surface is proportional to the charge enclosed: . The analogous formula for magnetic fields is: A) . B) . C) . D) . E) . .

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

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Equal currents of magnitude I travel out of the page in wire M and into the page in wire N. Eight directions are indicated by letters A through H. Equal currents of magnitude I travel out of the page in wire M and into the page in wire N. Eight directions are indicated by letters A through H. The direction of the magnetic field at point P is A) A. B) B. C) C. D) D. E) E. The direction of the magnetic field at point P is


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

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

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A long solenoid (diameter = 5.0 cm) is wound with 960 turns per meter of thin wire through which a current of 300 mA is maintained. A wire carrying 12 A is inserted along the axis of the solenoid. What is the magnitude of the magnetic field at a point 2.0 cm from the axis?


A) 0.41 mT
B) 0.48 mT
C) 0.38 mT
D) 0.56 mT
E) 0.24 mT

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

Correct Answer

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A long straight wire (diameter = 2.0 mm) carries a current of 30 A. What is the magnitude of the magnetic field 2.5 mm from the axis of the wire?


A) 3.2 mT
B) 2.8 mT
C) 2.4 mT
D) 3.6 mT
E) 3.0 mT

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

Correct Answer

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A conducting hollow cylinder (inner radius = a, outer radius = b) carries a current of 40 A that is uniformly distributed over the cross section of the conductor. If a = 3.0 mm and b = 6.0 mm, what is the magnitude of the (line) integral A conducting hollow cylinder (inner radius = a, outer radius = b) carries a current of 40 A that is uniformly distributed over the cross section of the conductor. If a = 3.0 mm and b = 6.0 mm, what is the magnitude of the (line) integral around a circular path (radius = 5.0 mm) centered on the axis of the cylinder and in a plane perpendicular to that axis? A) 50 μT ⋅ m B) 30 μT ⋅ m C) 22 μT ⋅ m D) 37 μT ⋅ m E) 47 μT ⋅ m around a circular path (radius = 5.0 mm) centered on the axis of the cylinder and in a plane perpendicular to that axis?


A) 50 μT ⋅ m
B) 30 μT ⋅ m
C) 22 μT ⋅ m
D) 37 μT ⋅ m
E) 47 μT ⋅ m

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

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Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown?


A)
Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown? A) B) C) D) E)
B)
Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown? A) B) C) D) E)
C)
Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown? A) B) C) D) E)
D)
Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown? A) B) C) D) E)
E)
Which diagram correctly shows the magnetic field lines created by a circular current loop in which current flows in the direction shown? A) B) C) D) E)

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

Correct Answer

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The following statements all refer to the human brain when mental activity is occurring. Which statement is correct?


A) In order to detect electric currents in the brain, you must open the skull and make direct electrical contact with the brain.
B) The electric currents in the brain can be detected outside the brain by detecting the magnetic fields they produce.
C) The electric currents in the brain can be mapped by shaving a person's head and dropping iron filings on the head.
D) The electric currents in the brain produce an aura that can be detected visually.
E) The electric currents in the brain cannot be detected by any means.

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

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Two long straight parallel wires separated by a distance of 20 cm carry currents of 30 A and 40 A in opposite directions. What is the magnitude of the resulting magnetic field at a point that is 15 cm from the wire carrying the 30-A current and 25 cm from the other wire?


A) 51 μT
B) 33 μT
C) 72 μT
D) 64 μT
E) 46 μT

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

Correct Answer

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What is the magnitude of the magnetic field at point P if a = R and b = 2R? What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)


A)
What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)
B)
What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)
C)
What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)
D)
What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)
E)
What is the magnitude of the magnetic field at point P if a = R and b = 2R? A) B) C) D) E)

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

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A 2.0-cm length of wire centered on the origin carries a 20-A current directed in the positive y direction. Determine the magnetic field at the point x = 5.0 m on the x-axis.


A) 1.6 nT in the negative z direction
B) 1.6 nT in the positive z direction
C) 2.4 nT in the negative z direction
D) None of the above

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

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