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A coaxial cable consists of an inner cylindrical conductor of radius R1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 = 0.080 m and outer radius A coaxial cable consists of an inner cylindrical conductor of radius R<sub>1</sub> = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R<sub>2</sub> = 0.080 m and outer radius The inner conductor carries current in one direction,and the outer conductor carries current in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable) The inner conductor carries current A coaxial cable consists of an inner cylindrical conductor of radius R<sub>1</sub> = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R<sub>2</sub> = 0.080 m and outer radius The inner conductor carries current in one direction,and the outer conductor carries current in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable) in one direction,and the outer conductor carries current A coaxial cable consists of an inner cylindrical conductor of radius R<sub>1</sub> = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R<sub>2</sub> = 0.080 m and outer radius The inner conductor carries current in one direction,and the outer conductor carries current in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable) in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? A coaxial cable consists of an inner cylindrical conductor of radius R<sub>1</sub> = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R<sub>2</sub> = 0.080 m and outer radius The inner conductor carries current in one direction,and the outer conductor carries current in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable) (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable)

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(a)B = 1...

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A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T


A) 6.6 × A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T T
B) 2.5 × A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T T
C) 1.3 × A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T T
D) 3.6 × A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T T
E) 9.8 × A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other.When a 0.10 A current is sent through the wire,what is the magnitude of the magnetic field on the axis of the solenoid near its center? A) 6.6 × T B) 2.5 × T C) 1.3 × T D) 3.6 × T E) 9.8 × T T

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

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A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? A) 8.1 mT B) 51 mT C) 16 mT D) 81 mT E) zero


A) 8.1 mT
B) 51 mT
C) 16 mT
D) 81 mT
E) zero

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

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A horizontal wire carries a current straight toward you.From your point of view,the magnetic field at a point directly below the wire points


A) directly away from you.
B) to the left.
C) to the right.
D) directly toward you.
E) vertically upward.

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

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A point charge Q moves on the x-axis in the positive direction with a speed of A point charge Q moves on the x-axis in the positive direction with a speed of A point P is on the y-axis at The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? A) -53 μC B) +53 μC C) -39 μC D) +39 μC E) +26 μC A point P is on the y-axis at A point charge Q moves on the x-axis in the positive direction with a speed of A point P is on the y-axis at The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? A) -53 μC B) +53 μC C) -39 μC D) +39 μC E) +26 μC The magnetic field produced at the point P,as the charge moves through the origin,is equal to A point charge Q moves on the x-axis in the positive direction with a speed of A point P is on the y-axis at The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? A) -53 μC B) +53 μC C) -39 μC D) +39 μC E) +26 μC What is the charge Q? A point charge Q moves on the x-axis in the positive direction with a speed of A point P is on the y-axis at The magnetic field produced at the point P,as the charge moves through the origin,is equal to What is the charge Q? A) -53 μC B) +53 μC C) -39 μC D) +39 μC E) +26 μC


A) -53 μC
B) +53 μC
C) -39 μC
D) +39 μC
E) +26 μC

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

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A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long.If this solenoid carries a current of A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long.If this solenoid carries a current of what is the magnitude of the magnetic field near the center of the solenoid? A) 16 mT B) 4.9 mT C) 15 mT D) 6.0 mT E) 9.0 mT what is the magnitude of the magnetic field near the center of the solenoid? A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long.If this solenoid carries a current of what is the magnitude of the magnetic field near the center of the solenoid? A) 16 mT B) 4.9 mT C) 15 mT D) 6.0 mT E) 9.0 mT


A) 16 mT
B) 4.9 mT
C) 15 mT
D) 6.0 mT
E) 9.0 mT

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

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As shown in the figure,an insulated wire is bent into a circular loop of radius 6.0 cm and has two long straight sections.The loop is in the xy-plane,with the center at the origin.The straight sections are parallel to the z-axis.The wire carries a current of 8.0 A.What is the magnitude of the magnetic field at the origin? (μ0 = 4π × 10-7 T • m/A) As shown in the figure,an insulated wire is bent into a circular loop of radius 6.0 cm and has two long straight sections.The loop is in the xy-plane,with the center at the origin.The straight sections are parallel to the z-axis.The wire carries a current of 8.0 A.What is the magnitude of the magnetic field at the origin? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A) A) 75 µT B) 81 µT C) 88 µT D) 110 µT E) 120 µT


A) 75 µT
B) 81 µT
C) 88 µT
D) 110 µT
E) 120 µT

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

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A wire carrying a current is shaped in the form of a circular loop of radius A wire carrying a current is shaped in the form of a circular loop of radius If the magnetic field strength that this current produces at the center of the loop is what is the magnitude of the current that flows through the wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A) A) 5.3 A B) 16 A C) 9.1 A D) 23 A If the magnetic field strength that this current produces at the center of the loop is A wire carrying a current is shaped in the form of a circular loop of radius If the magnetic field strength that this current produces at the center of the loop is what is the magnitude of the current that flows through the wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A) A) 5.3 A B) 16 A C) 9.1 A D) 23 A what is the magnitude of the current that flows through the wire? (μ0 = 4π × 10-7 T • m/A)


A) 5.3 A
B) 16 A
C) 9.1 A
D) 23 A

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

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The figure shows four different sets of insulated wires that cross each other at right angles without actually making electrical contact.The magnitude of the current is the same in all the wires,and the directions of current flow are as indicated.For which (if any) configuration will the magnetic field at the center of the square formed by the wires be equal to zero? The figure shows four different sets of insulated wires that cross each other at right angles without actually making electrical contact.The magnitude of the current is the same in all the wires,and the directions of current flow are as indicated.For which (if any) configuration will the magnetic field at the center of the square formed by the wires be equal to zero? A) A B) B C) C D) D E) The field is not equal to zero in any of these cases.


A) A
B) B
C) C
D) D
E) The field is not equal to zero in any of these cases.

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

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A current carrying loop of wire lies flat on a table top.When viewed from above,the current moves around the loop in a counterclockwise sense. (a)For points OUTSIDE the loop,the magnetic field caused by this current A)circles the loop in a clockwise direction. B)circles the loop in a counterclockwise direction. C)points straight up. D)points straight down. E)is zero. (b)For points INSIDE the loop,the magnetic field caused by this current\ A)circles the loop in a clockwise direction. B)circles the loop in a counterclockwise direction. C)points straight up. D)points straight down. E)is zero.

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A very long thin wire produces a magnetic field of A very long thin wire produces a magnetic field of at a distance of from the central axis of the wire.What is the magnitude of the current in the wire? A) 7.5 mA B) 1.7 mA C) 3300 mA D) 24,000 mA at a distance of A very long thin wire produces a magnetic field of at a distance of from the central axis of the wire.What is the magnitude of the current in the wire? A) 7.5 mA B) 1.7 mA C) 3300 mA D) 24,000 mA from the central axis of the wire.What is the magnitude of the current in the wire? A very long thin wire produces a magnetic field of at a distance of from the central axis of the wire.What is the magnitude of the current in the wire? A) 7.5 mA B) 1.7 mA C) 3300 mA D) 24,000 mA


A) 7.5 mA
B) 1.7 mA
C) 3300 mA
D) 24,000 mA

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

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A solenoid of length 18 cm consists of closely spaced coils of wire wrapped tightly around a wooden core.The magnetic field strength is A solenoid of length 18 cm consists of closely spaced coils of wire wrapped tightly around a wooden core.The magnetic field strength is inside the solenoid near its center when a certain current flows through the coils.If the coils of the solenoid are now pulled apart slightly,stretching it to without appreciably changing the size of the coils,what does the magnetic field become near the center of the solenoid when the same current flows through the coils? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A) A) 1.7 mT B) 3.4 mT C) 0.85 mT D) 2.0 mT inside the solenoid near its center when a certain current flows through the coils.If the coils of the solenoid are now pulled apart slightly,stretching it to A solenoid of length 18 cm consists of closely spaced coils of wire wrapped tightly around a wooden core.The magnetic field strength is inside the solenoid near its center when a certain current flows through the coils.If the coils of the solenoid are now pulled apart slightly,stretching it to without appreciably changing the size of the coils,what does the magnetic field become near the center of the solenoid when the same current flows through the coils? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A) A) 1.7 mT B) 3.4 mT C) 0.85 mT D) 2.0 mT without appreciably changing the size of the coils,what does the magnetic field become near the center of the solenoid when the same current flows through the coils? (μ0 = 4π × 10-7 T • m/A)


A) 1.7 mT
B) 3.4 mT
C) 0.85 mT
D) 2.0 mT

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

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Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are


A) midway between the wires.
B) a distance d/2 to the left of the left wire and also a distance d/2 to the right of the right wire.
C) a distance d to the left of the left wire and also a distance d to the right of the right wire.
D) a distance d/ Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are A) midway between the wires. B) a distance d/2 to the left of the left wire and also a distance d/2 to the right of the right wire. C) a distance d to the left of the left wire and also a distance d to the right of the right wire. D) a distance d/ to the left of the left wire and also a distance d/ to the right of the right wire. E) The net field is not zero anywhere. to the left of the left wire and also a distance d/ Two very long parallel wires are a distance d apart and carry equal currents in opposite directions.The locations where the net magnetic field due to these currents is equal to zero are A) midway between the wires. B) a distance d/2 to the left of the left wire and also a distance d/2 to the right of the right wire. C) a distance d to the left of the left wire and also a distance d to the right of the right wire. D) a distance d/ to the left of the left wire and also a distance d/ to the right of the right wire. E) The net field is not zero anywhere. to the right of the right wire.
E) The net field is not zero anywhere.

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

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The figure shows three long,parallel,current-carrying wires.The current directions are indicated for currents I1 and I3.The arrow labeled F represents the net magnetic force acting on current I3.The three currents have equal magnitudes.What is the direction of the current I2? The figure shows three long,parallel,current-carrying wires.The current directions are indicated for currents I<sub>1</sub> and I<sub>3</sub>.The arrow labeled F represents the net magnetic force acting on current I<sub>3</sub>.The three currents have equal magnitudes.What is the direction of the current I<sub>2</sub>? A) into the picture (in the direction opposite to that of I<sub>1</sub> and I<sub>3</sub>) B) horizontal to the right C) vertically upward D) vertically downward E) out of the picture (in the same direction as I<sub>1</sub> and I<sub>3</sub>)


A) into the picture (in the direction opposite to that of I1 and I3)
B) horizontal to the right
C) vertically upward
D) vertically downward
E) out of the picture (in the same direction as I1 and I3)

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

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A circular loop of wire of radius 10 cm carries a current of 6.0 A.What is the magnitude of the magnetic field at the center of the loop? (μ0 = 4π × 10-7 T • m/A)


A) 3.8 × 10-5 T
B) 3.8 × 10-7 T
C) 1.2 × 10-5 T
D) 1.2 × 10-7 T
E) 3.8 × 10-8 T

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

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Consider a solenoid of length L,N windings,and radius b (L is much longer than b) .A current I is flowing through the wire.If the length of the solenoid became twice as long (2L) ,and all other quantities remained the same,the magnetic field inside the solenoid would


A) remain the same.
B) become twice as strong.
C) become one half as strong.

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

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A long straight wire on the z-axis carries a current of 6.0 A in the positive direction.A circular loop in the xy-plane,of radius 10 cm,carries a 1.0-A current,as shown in the figure.Point P,at the center of the loop,is 25 cm from the z-axis.An electron is projected from P with a velocity of 1.0 × 106 m/s in the negative x-direction.What is the y component of the force on the electron? (e = 1.60 × 10-19 C, A long straight wire on the z-axis carries a current of 6.0 A in the positive direction.A circular loop in the xy-plane,of radius 10 cm,carries a 1.0-A current,as shown in the figure.Point P,at the center of the loop,is 25 cm from the z-axis.An electron is projected from P with a velocity of 1.0 × 10<sup>6</sup> m/s in the negative x-direction.What is the y component of the force on the electron? (e = 1.60 × 10<sup>-19</sup> C, A) -1.0 × 10<sup>-18</sup> N B) +1.0 × 10<sup>-18</sup> N C) -2.0 × 10<sup>-18</sup> N D) +2.0 × 10<sup>-18</sup> N E) zero A long straight wire on the z-axis carries a current of 6.0 A in the positive direction.A circular loop in the xy-plane,of radius 10 cm,carries a 1.0-A current,as shown in the figure.Point P,at the center of the loop,is 25 cm from the z-axis.An electron is projected from P with a velocity of 1.0 × 10<sup>6</sup> m/s in the negative x-direction.What is the y component of the force on the electron? (e = 1.60 × 10<sup>-19</sup> C, A) -1.0 × 10<sup>-18</sup> N B) +1.0 × 10<sup>-18</sup> N C) -2.0 × 10<sup>-18</sup> N D) +2.0 × 10<sup>-18</sup> N E) zero


A) -1.0 × 10-18 N
B) +1.0 × 10-18 N
C) -2.0 × 10-18 N
D) +2.0 × 10-18 N
E) zero

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

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The magnetic field at a distance of 2 cm from a current carrying wire is 4 μT.What is the magnetic field at a distance of 4 cm from the wire?


A) 1/2 µT
B) 1 µT
C) 2 µT
D) 4 µT
E) 8 µT

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

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A solenoid is wound with 970 turns on a form 4.0 cm in diameter and 50 cm long.The windings carry a current I in the sense that is shown in the figure.The current produces a magnetic field,of magnitude A solenoid is wound with 970 turns on a form 4.0 cm in diameter and 50 cm long.The windings carry a current I in the sense that is shown in the figure.The current produces a magnetic field,of magnitude near the center of the solenoid.Find the current in the solenoid windings. A) 1.8 A B) 1.5 A C) 1.3 A D) 2.2 A E) 2.0 A near the center of the solenoid.Find the current in the solenoid windings. A solenoid is wound with 970 turns on a form 4.0 cm in diameter and 50 cm long.The windings carry a current I in the sense that is shown in the figure.The current produces a magnetic field,of magnitude near the center of the solenoid.Find the current in the solenoid windings. A) 1.8 A B) 1.5 A C) 1.3 A D) 2.2 A E) 2.0 A A solenoid is wound with 970 turns on a form 4.0 cm in diameter and 50 cm long.The windings carry a current I in the sense that is shown in the figure.The current produces a magnetic field,of magnitude near the center of the solenoid.Find the current in the solenoid windings. A) 1.8 A B) 1.5 A C) 1.3 A D) 2.2 A E) 2.0 A


A) 1.8 A
B) 1.5 A
C) 1.3 A
D) 2.2 A
E) 2.0 A

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

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Two long parallel wires placed side-by-side on a horizontal table carry identical size currents in opposite directions.The wire on your right carries current toward you,and the wire on your left carries current away from you.From your point of view,the magnetic field at the point exactly midway between the two wires


A) points upward.
B) points downward.
C) points toward you.
D) points away from you.
E) is zero.

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

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