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A hollow cylinder with an inner radius of A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder.If the current density is uniform throughout the wire,what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A) 7.2 × 10<sup>-6</sup> T B) 8.0 × 10<sup>-6</sup> T C) 8.9 × 10<sup>-7</sup> T D) 7.1 × 10<sup>-8</sup> T and an outer radius of A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder.If the current density is uniform throughout the wire,what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A) 7.2 × 10<sup>-6</sup> T B) 8.0 × 10<sup>-6</sup> T C) 8.9 × 10<sup>-7</sup> T D) 7.1 × 10<sup>-8</sup> T conducts a 3.0-A current flowing parallel to the axis of the cylinder.If the current density is uniform throughout the wire,what is the magnitude of the magnetic field at a point A hollow cylinder with an inner radius of   and an outer radius of   conducts a 3.0-A current flowing parallel to the axis of the cylinder.If the current density is uniform throughout the wire,what is the magnitude of the magnetic field at a point   from its center? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A) 7.2 × 10<sup>-6</sup> T B) 8.0 × 10<sup>-6</sup> T C) 8.9 × 10<sup>-7</sup> T D) 7.1 × 10<sup>-8</sup> T from its center? (μ0 = 4π × 10-7 T ∙ m/A)


A) 7.2 × 10-6 T
B) 8.0 × 10-6 T
C) 8.9 × 10-7 T
D) 7.1 × 10-8 T

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

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A rectangular loop of wire carrying a 4.0-A current is placed in a magnetic field of 0.60 T.The magnitude of the torque acting on this wire when the plane of the loop makes a 30° angle with the field is measured to be 1.1 N ∙ m.What is the area of this loop?


A) 0.20 m2
B) 0.40 m2
C) 0.26 m2
D) 0.80 m2
E) 0.53 m2

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

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Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ0 = 4π × 10-7 T ∙ m/A) Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T


A) 0.90 × Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T T
B) 3.9 × Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T T
C) 1.9 × Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T T
D) 6.3 × Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T T
E) 9.2 × Two coaxial circular coils of radius R = 15 cm,each carrying 4.0 A in the same direction,are positioned a distance d = 20 cm apart,as shown in the figure.Calculate the magnitude of the magnetic field halfway between the coils along the line connecting their centers. (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 0.90 ×   T B) 3.9 ×   T C) 1.9 ×   T D) 6.3 ×   T E) 9.2 ×   T T

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

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A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m  in the positive x-direction passes through the region without deflection.What is the electric field vector in the region? A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m


A) -73 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m
B) +73 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m
C) +110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m
D) +110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m
E) -110 kV/m A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space,as shown in the figure.A uniform electric field is also present.An electron that is projected with an initial velocity   in the positive x-direction passes through the region without deflection.What is the electric field vector in the region?   A) -73 kV/m   B) +73 kV/m   C) +110 kV/m   D) +110 kV/m   E) -110 kV/m

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

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

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A particle with charge -5.00 C initially moves at A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N = (1.00 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N + 7.00 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N ) m/s.If it encounters a magnetic field A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N find the magnetic force vector on the particle.


A) (-350 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N + 50.0 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N ) N
B) (-350 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N - 50.0 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N ) N
C) (350 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N + 50.0 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N ) N
D) (350 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N - 50.0 A particle with charge -5.00 C initially moves at   = (1.00   + 7.00   ) m/s.If it encounters a magnetic field   find the magnetic force vector on the particle. A) (-350   + 50.0   ) N B) (-350   - 50.0   ) N C) (350   + 50.0   ) N D) (350   - 50.0   ) N ) N

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

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A very long straight wire carries a 12-A current eastward and a second very long straight wire carries a 14-A current westward.The wires are parallel to each other and are 42 cm apart.Calculate the force on a 6.4 m length of one of the wires.(μ0 = 4π × 10-7 T ∙ m/A)


A) 8.0 × 10-7 N
B) 5.1 × 10-4 N
C) 8.0 × 10-5 N
D) 5.1 × 10-6 N
E) 2.2 × 10-4 N

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

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As shown in the figure,a rectangular current loop is carrying current As shown in the figure,a rectangular current loop is carrying current   = 3.0 A,in the direction shown,and is located near a long wire carrying a current   .The long wire is parallel to the sides of the rectangle.The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the wire,as shown.We measure that the net force on the rectangular loop is   and is directed towards the wire.(μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)   (a)What is the magnitude of the current I<sub>w</sub>? (b)In which direction does I<sub>w</sub> flow: from top to bottom or from bottom to top in the sketch? = 3.0 A,in the direction shown,and is located near a long wire carrying a current As shown in the figure,a rectangular current loop is carrying current   = 3.0 A,in the direction shown,and is located near a long wire carrying a current   .The long wire is parallel to the sides of the rectangle.The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the wire,as shown.We measure that the net force on the rectangular loop is   and is directed towards the wire.(μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)   (a)What is the magnitude of the current I<sub>w</sub>? (b)In which direction does I<sub>w</sub> flow: from top to bottom or from bottom to top in the sketch? .The long wire is parallel to the sides of the rectangle.The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the wire,as shown.We measure that the net force on the rectangular loop is As shown in the figure,a rectangular current loop is carrying current   = 3.0 A,in the direction shown,and is located near a long wire carrying a current   .The long wire is parallel to the sides of the rectangle.The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the wire,as shown.We measure that the net force on the rectangular loop is   and is directed towards the wire.(μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)   (a)What is the magnitude of the current I<sub>w</sub>? (b)In which direction does I<sub>w</sub> flow: from top to bottom or from bottom to top in the sketch? and is directed towards the wire.(μ0 = 4π × 10-7 T ∙ m/A) As shown in the figure,a rectangular current loop is carrying current   = 3.0 A,in the direction shown,and is located near a long wire carrying a current   .The long wire is parallel to the sides of the rectangle.The rectangle loop has length 0.80 m and its sides are 0.10 m and 0.70 m from the wire,as shown.We measure that the net force on the rectangular loop is   and is directed towards the wire.(μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)   (a)What is the magnitude of the current I<sub>w</sub>? (b)In which direction does I<sub>w</sub> flow: from top to bottom or from bottom to top in the sketch? (a)What is the magnitude of the current Iw? (b)In which direction does Iw flow: from top to bottom or from bottom to top in the sketch?

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(a)1.2 A (...

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As shown in the figure,a small particle of charge q = -7.0 × As shown in the figure,a small particle of charge q = -7.0 ×   C and mass   has velocity   as it enters a region of uniform magnetic field.The particle is observed to travel in the semicircular path shown,with radius R = 5.0 cm.Calculate the magnitude and direction of the magnetic field in the region.  C and mass As shown in the figure,a small particle of charge q = -7.0 ×   C and mass   has velocity   as it enters a region of uniform magnetic field.The particle is observed to travel in the semicircular path shown,with radius R = 5.0 cm.Calculate the magnitude and direction of the magnetic field in the region.  has velocity As shown in the figure,a small particle of charge q = -7.0 ×   C and mass   has velocity   as it enters a region of uniform magnetic field.The particle is observed to travel in the semicircular path shown,with radius R = 5.0 cm.Calculate the magnitude and direction of the magnetic field in the region.  as it enters a region of uniform magnetic field.The particle is observed to travel in the semicircular path shown,with radius R = 5.0 cm.Calculate the magnitude and direction of the magnetic field in the region. As shown in the figure,a small particle of charge q = -7.0 ×   C and mass   has velocity   as it enters a region of uniform magnetic field.The particle is observed to travel in the semicircular path shown,with radius R = 5.0 cm.Calculate the magnitude and direction of the magnetic field in the region.

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0.083 T,di...

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An electron moving with a velocity An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = 5.0 × 107 m/s An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  .What magnetic field will allow the electron to go through the region without being deflected?


A) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = +2.0 × 10-4 T An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T
B) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = -2.0 × 10-4 T An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T
C) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = +2.0 × 10-4 T An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T
D) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = -2.0 × 10-4 T An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T
E) An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T  = +5.0 × 10-4 T An electron moving with a velocity   = 5.0 × 10<sup>7</sup> m/s   enters a region of space where perpendicular electric and a magnetic fields are present.The electric field is   =   .What magnetic field will allow the electron to go through the region without being deflected? A)    = +2.0 × 10<sup>-4</sup> T   B)    = -2.0 × 10<sup>-4</sup> T   C)    = +2.0 × 10<sup>-4</sup> T   D)    = -2.0 × 10<sup>-4</sup> T   E)    = +5.0 × 10<sup>-4</sup> T

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

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As shown in the figure,two long straight wires are separated by a distance of As shown in the figure,two long straight wires are separated by a distance of   The currents are   to the right in the upper wire and   to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance   below the lower wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  The currents are As shown in the figure,two long straight wires are separated by a distance of   The currents are   to the right in the upper wire and   to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance   below the lower wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  to the right in the upper wire and As shown in the figure,two long straight wires are separated by a distance of   The currents are   to the right in the upper wire and   to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance   below the lower wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance As shown in the figure,two long straight wires are separated by a distance of   The currents are   to the right in the upper wire and   to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance   below the lower wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  below the lower wire? (μ0 = 4π × 10-7 T ∙ m/A) As shown in the figure,two long straight wires are separated by a distance of   The currents are   to the right in the upper wire and   to the left in the lower wire.What are the magnitude and direction of the magnetic field at point P,which is a distance   below the lower wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)

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A tube with a 3.0-mm radius has ions flowing through it along its length.To determine the rate at which the charge is being moved through the tube,the magnetic field just outside the tube is measured and found to be A tube with a 3.0-mm radius has ions flowing through it along its length.To determine the rate at which the charge is being moved through the tube,the magnetic field just outside the tube is measured and found to be   If the only contributor to the magnetic field is the moving ions,and if the walls of the container are very thin and do not screen magnetism,what is the magnitude of the current flowing through the tube? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)  A) 66 A B) 132 A C) 829 A D) 415 A If the only contributor to the magnetic field is the moving ions,and if the walls of the container are very thin and do not screen magnetism,what is the magnitude of the current flowing through the tube? (μ0 = 4π × 10-7 T ∙ m/A)


A) 66 A
B) 132 A
C) 829 A
D) 415 A

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

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


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

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

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A proton is first accelerated from rest through a potential difference V and then enters a uniform 0.750-T magnetic field oriented perpendicular to its path.In this field,the proton follows a circular arc having a radius of curvature of 1.84 cm.What was the potential difference V? (mproton = 1.67 × 10-27 kg,e = 1.60 × 10-19 C)

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Two long parallel wires carry currents of 10 A in opposite directions.They are separated by 40 cm.What is the magnitude of the magnetic field in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other? (μ0 = 4π × 10-7 T ∙ m/A)


A) 1.5 µT
B) 3.3 µT
C) 6.7 µT
D) 33 µT
E) 67 µT

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

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A negatively charged particle is moving to the right,directly above a wire having a current flowing to the right,as shown in the figure.In which direction is the magnetic force exerted on the particle? A negatively charged particle is moving to the right,directly above a wire having a current flowing to the right,as shown in the figure.In which direction is the magnetic force exerted on the particle?   A) into the page B) out of the page C) downward D) upward E) The magnetic force is zero since the velocity is parallel to the current.


A) into the page
B) out of the page
C) downward
D) upward
E) The magnetic force is zero since the velocity is parallel to the current.

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

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The figure shows a velocity selector that can be used to measure the speed of a charged particle.A beam of particles is directed along the axis of the instrument.A parallel plate capacitor sets up an electric field E,which is oriented perpendicular to a uniform magnetic field B.If the plates are separated by 2.0 mm and the value of the magnetic field is 0.60 T,what voltage between the plates will allow particles of speed 5.0 × 105 m/s to pass straight through without deflection? The figure shows a velocity selector that can be used to measure the speed of a charged particle.A beam of particles is directed along the axis of the instrument.A parallel plate capacitor sets up an electric field E,which is oriented perpendicular to a uniform magnetic field B.If the plates are separated by 2.0 mm and the value of the magnetic field is 0.60 T,what voltage between the plates will allow particles of speed 5.0 × 10<sup>5</sup> m/s to pass straight through without deflection?   A) 600 V B) 1900 V C) 3800 V D) 190 V E) 94 V


A) 600 V
B) 1900 V
C) 3800 V
D) 190 V
E) 94 V

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

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A charged particle of mass 0.0020 kg is subjected to a A charged particle of mass 0.0020 kg is subjected to a   magnetic field which acts at a right angle to its motion.If the particle moves in a circle of radius   at a speed of   what is the magnitude of the charge on the particle? A) 0.0083 C B) 120 C C) 0.00040 C D) 2500 C magnetic field which acts at a right angle to its motion.If the particle moves in a circle of radius A charged particle of mass 0.0020 kg is subjected to a   magnetic field which acts at a right angle to its motion.If the particle moves in a circle of radius   at a speed of   what is the magnitude of the charge on the particle? A) 0.0083 C B) 120 C C) 0.00040 C D) 2500 C at a speed of A charged particle of mass 0.0020 kg is subjected to a   magnetic field which acts at a right angle to its motion.If the particle moves in a circle of radius   at a speed of   what is the magnitude of the charge on the particle? A) 0.0083 C B) 120 C C) 0.00040 C D) 2500 C what is the magnitude of the charge on the particle?


A) 0.0083 C
B) 120 C
C) 0.00040 C
D) 2500 C

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

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A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment? A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N


A) +1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N
B) -1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N
C) +1.6 N A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N
D) (+1.3 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N - 1.6 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N ) N
E) (-1.3 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N + 1.6 A wire segment 1.2 m long carries a current I = 3.5 A and is oriented as shown in the figure.A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown.The +z-axis points directly into the page.What is the magnetic force vector on the wire segment?   A) +1.6 N   B) -1.6 N   C) +1.6 N   D) (+1.3   - 1.6   ) N E) (-1.3   + 1.6   ) N ) N

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

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