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A flat rectangular loop of wire is placed between the poles of a magnet,as shown in the figure.It has dimensions w = 0.60 m and L = 1.0 m,and carries a current I = 2.0 A in the direction shown.The magnetic field due to the magnet is uniform and of magnitude 0.80 T.The loop rotates in the magnetic field and at one point the plane of the loop is perpendicular to the field.At that instant,what is the magnitude of the torque acting on the wire due to the magnetic field? A flat rectangular loop of wire is placed between the poles of a magnet,as shown in the figure.It has dimensions w = 0.60 m and L = 1.0 m,and carries a current I = 2.0 A in the direction shown.The magnetic field due to the magnet is uniform and of magnitude 0.80 T.The loop rotates in the magnetic field and at one point the plane of the loop is perpendicular to the field.At that instant,what is the magnitude of the torque acting on the wire due to the magnetic field?   A) 0.00 N ∙ m B) 0.40 N ∙ m C) 0.48 N ∙ m D) 0.83 N ∙ m E) 0.96 N ∙ m


A) 0.00 N ∙ m
B) 0.40 N ∙ m
C) 0.48 N ∙ m
D) 0.83 N ∙ m
E) 0.96 N ∙ m

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

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A wire in the shape of an "M" lies in the plane of the paper.It carries a current of 2.0 A,flowing from A to E.It is placed in a uniform magnetic field of 0.85 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.Note that AB is parallel to DE and to the baseline from which the magnetic field direction is measured.What are the magnitude and direction of the net force acting on this wire? A wire in the shape of an  M  lies in the plane of the paper.It carries a current of 2.0 A,flowing from A to E.It is placed in a uniform magnetic field of 0.85 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.Note that AB is parallel to DE and to the baseline from which the magnetic field direction is measured.What are the magnitude and direction of the net force acting on this wire?   A) 0.40 N perpendicular out of the page B) 0.10 N perpendicular into the page C) 0.40 N perpendicular into the page D) 0.10 N perpendicular out of the page E) 0.20 N perpendicular out of the page


A) 0.40 N perpendicular out of the page
B) 0.10 N perpendicular into the page
C) 0.40 N perpendicular into the page
D) 0.10 N perpendicular out of the page
E) 0.20 N perpendicular out of the page

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

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An electron moves with a speed of 8.0 × 106 m/s along the +x-axis.It enters a region where there is a magnetic field of 2.5 T,directed at an angle of 60° to the +x-axis and lying in the xy-plane.Calculate the magnitude of the magnetic force on the electron.(e = 1.60 × 10-19C)


A) 2.8 × 10-10 N
B) 3.2 × 10-10 N
C) 2.8 × 10-12 N
D) 3.2 × 10-12 N

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

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A proton,moving north,enters a magnetic field.Because of this field,the proton curves downward.We may conclude that the magnetic field must have a component


A) downward.
B) upward.
C) towards the east.
D) towards the west.
E) towards the north.

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

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A charged particle that is moving in a static uniform magnetic field


A) will always experience a magnetic force,regardless of its direction of motion.
B) may experience a magnetic force which will cause its speed to change.
C) may experience a magnetic force,but its speed will not change.
D) may experience a magnetic force,but its direction of motion will not change.
E) None of the above statements are true.

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

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What is the magnetic moment of a rectangular loop having 120 turns that carries 6.0 A if its dimensions are 4.0 cm × 8.0 cm?


A) 0.23 A ∙ m2
B) 2.3 A ∙ m2
C) 23 A ∙ m2
D) 230 A ∙ m2

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

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A rectangular coil,with corners labeled ABCD,has length L and width w.It is placed between the poles of a magnet,as shown in the figure If there is a current I flowing through this coil in the direction shown,what is the direction of the force acting on section AB of this coil? A rectangular coil,with corners labeled ABCD,has length L and width w.It is placed between the poles of a magnet,as shown in the figure If there is a current I flowing through this coil in the direction shown,what is the direction of the force acting on section AB of this coil?   A) perpendicular to and into the page B) perpendicular to and out of the page C) in the direction of the magnetic field D) in the opposite direction of the magnetic field E) The force is zero.


A) perpendicular to and into the page
B) perpendicular to and out of the page
C) in the direction of the magnetic field
D) in the opposite direction of the magnetic field
E) The force is zero.

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

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An object is hung using a metal spring.If now a current is passed through the spring,what will happen to this system?


A) The spring will contract,raising the weight.
B) The spring will extend,lowering the weight.
C) The weight will not move.
D) The spring will begin to swing like a pendulum.
E) None of these are true.

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

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A wire carrying a current is shaped in the form of a circular loop of radius 4.0 mm.If the magnetic field strength at its center is A wire carrying a current is shaped in the form of a circular loop of radius 4.0 mm.If the magnetic field strength at its center is   With no external magnetic fields present,what is the magnitude of the current flowing through the wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A) 7.0 A B) 28 A C) 14 A D) 17 A With no external magnetic fields present,what is the magnitude of the current flowing through the wire? (μ0 = 4π × 10-7 T ∙ m/A)


A) 7.0 A
B) 28 A
C) 14 A
D) 17 A

E) None of the above
F) All of the above

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A very long straight current-carrying wire produces a magnetic field of 20 mT at a distance d from the wire.To measure a field of 5 mT due to this wire,you would have to go to a distance from the wire of


A) 16d.
B) 8d.
C) 4d.
D) 2d.
E) d A very long straight current-carrying wire produces a magnetic field of 20 mT at a distance d from the wire.To measure a field of 5 mT due to this wire,you would have to go to a distance from the wire of A) 16d. B) 8d. C) 4d. D) 2d. E) d   . .

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

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A flat rectangular loop of wire is placed between the poles of a magnet,as shown in the figure.It has dimensions w = 0.60 m and L = 1.0 m,and carries a current I = 2.0 A in the direction shown.The magnetic field due to the magnet is uniform and of magnitude 0.80 T.The loop rotates in the magnetic field and at one point the plane of the loop makes a 30° angle with the field.At that instant,what is the magnitude of the torque acting on the wire due to the magnetic field? A flat rectangular loop of wire is placed between the poles of a magnet,as shown in the figure.It has dimensions w = 0.60 m and L = 1.0 m,and carries a current I = 2.0 A in the direction shown.The magnetic field due to the magnet is uniform and of magnitude 0.80 T.The loop rotates in the magnetic field and at one point the plane of the loop makes a 30° angle with the field.At that instant,what is the magnitude of the torque acting on the wire due to the magnetic field?   A) 0.30 N ∙ m B) 0.40 N ∙ m C) 0.48 N ∙ m D) 0.83 N ∙ m E) 0.96 N ∙ m


A) 0.30 N ∙ m
B) 0.40 N ∙ m
C) 0.48 N ∙ m
D) 0.83 N ∙ m
E) 0.96 N ∙ m

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

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A wire in the shape of an "M" lies in the plane of the paper.It carries a current of 2.0 A,flowing from A to E,as shown in the figure.It is placed in a uniform magnetic field of 0.65 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.Note that AB is parallel to DE and to the baseline from which the magnetic field direction is measured.What are the magnitude and direction of the force acting on section BC of this wire? A wire in the shape of an  M  lies in the plane of the paper.It carries a current of 2.0 A,flowing from A to E,as shown in the figure.It is placed in a uniform magnetic field of 0.65 T in the same plane,directed as shown on the right side of the figure.The figure indicates the dimensions of the wire.Note that AB is parallel to DE and to the baseline from which the magnetic field direction is measured.What are the magnitude and direction of the force acting on section BC of this wire?   A) 0 N B) 0.090 N perpendicular out of the page C) 0.090 N perpendicular into the page D) 0.060 N perpendicular out of the page E) none of the above


A) 0 N
B) 0.090 N perpendicular out of the page
C) 0.090 N perpendicular into the page
D) 0.060 N perpendicular out of the page
E) none of the above

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

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Three particles travel through a region of space where the magnetic field is out of the page,as shown in the figure.What are the signs of the charges of these three particles? Three particles travel through a region of space where the magnetic field is out of the page,as shown in the figure.What are the signs of the charges of these three particles?   A) 1 is neutral,2 is negative,and 3 is positive. B) 1 is neutral,2 is positive,and 3 is negative. C) 1 is positive,2 is neutral,and 3 is negative. D) 1 is positive,2 is negative,and 3 is neutral. E) 1 is negative,2 is neutral,and 3 is positive.


A) 1 is neutral,2 is negative,and 3 is positive.
B) 1 is neutral,2 is positive,and 3 is negative.
C) 1 is positive,2 is neutral,and 3 is negative.
D) 1 is positive,2 is negative,and 3 is neutral.
E) 1 is negative,2 is neutral,and 3 is positive.

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

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The direction of the force on a current-carrying wire in a magnetic field is


A) perpendicular only to the current.
B) perpendicular only to the magnetic field.
C) perpendicular to both the current and the magnetic field.
D) in the direction opposite to the current.
E) in same direction as the current.

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

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C

A long straight wire has a constant current flowing to the right.A rectangular metal loop is situated above the wire,and also has a constant current flowing through it,as shown in the figure.Which one of the following statements is true? A long straight wire has a constant current flowing to the right.A rectangular metal loop is situated above the wire,and also has a constant current flowing through it,as shown in the figure.Which one of the following statements is true?   A) The net magnetic force on the rectangle is upward,and there is also a nonzero torque on the rectangle. B) The net magnetic force on the rectangle is zero,and the net torque on it is zero. C) The net magnetic force on the rectangle is downward,and there is also a nonzero torque on the rectangle. D) The net magnetic force on the rectangle is zero,but there is a nonzero torque on the rectangle. E) The net magnetic force on the rectangle is downward,and the net torque on it is zero.


A) The net magnetic force on the rectangle is upward,and there is also a nonzero torque on the rectangle.
B) The net magnetic force on the rectangle is zero,and the net torque on it is zero.
C) The net magnetic force on the rectangle is downward,and there is also a nonzero torque on the rectangle.
D) The net magnetic force on the rectangle is zero,but there is a nonzero torque on the rectangle.
E) The net magnetic force on the rectangle is downward,and the net torque on it is zero.

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

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A charged particle is injected into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field lines.Ignoring the particle's weight,the particle will


A) move in a straight line.
B) follow a spiral path.
C) move along a parabolic path.
D) follow a circular path.

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

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D

A straight wire is carrying a current of 2.0 A.It is placed at an angle of 60° with respect to a magnetic field of strength 0.20 T.If the wire experiences a force of 0.40 N,what is the length of the wire?


A) 1.0 m
B) 1.2 m
C) 1.4 m
D) 1.6 m
E) 1.8 m

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

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A long,straight,horizontal wire carries current toward the east.A proton moves toward the east alongside and just south of the wire.What is the direction of the magnetic force on the proton?


A) toward the north
B) toward the south
C) upward
D) downward
E) toward the east.

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

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A

A long,straight wire carrying a current is placed along the y-axis.If the direction of the current is in the +y direction,what is the direction of the magnetic field due to this wire as you view it in such a way that the current is coming directly toward you?


A) clockwise,around the x-axis
B) counterclockwise,around the x-axis
C) counterclockwise,around the z-axis
D) counterclockwise,around the y-axis
E) clockwise,around the y-axis

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

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Two long parallel wires that are 0.30 m apart carry currents of 5.0 A and 8.0 A in the opposite direction.Find the magnitude of the force per unit length that each wire exerts on the other wire and indicate if the force is attractive or repulsive.(μ0 = 4π × 10-7 T ∙ m/A)


A) 2.7 × 10-5 N repulsive
B) 7.2 × 10-5 N repulsive
C) 3.4 × 10-5 N attractive
D) 2.7 × 10-5 N attractive
E) 7.2 × 10-5 N attractive

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

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