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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

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A flat rectangular loop of wire carrying a 4.0-A current is placed in a uniform 0.60-T magnetic field.The magnitude of the torque exerted on this loop when the plane of the loop makes a 30° angle with the B\vec { B } 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

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The magnitude of the B\vec { B } field that a long and extremely thin current-carrying wire produces at a distance of 3.0 µm from the center of the wire is 2.0 × 10-3 T.What is the current through the wire? (μ0 = 4π × 10-7 T ∙ m/A)


A) 30 mA
B) 190 mA
C) 19 mA
D) 380 mA

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A

Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions.The wires are separated by 20 cm.At what point between the two wires do they produce the same magnitude B\vec { B } field?


A) 4.0 cm from the 20 A wire
B) 8.0 cm from the 20 A wire
C) 12 cm from the 20 A wire
D) 16 cm from the 20 A wire
E) 18 cm from the 20 A wire

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At point P the B\vec { B } field due to a long straight wire carrying a current of 2.0 A is 1.2 µT.How far is P from the wire? (μ0 = 4π × 10-7 T ∙ m/A)


A) 11 cm
B) 22 cm
C) 33 cm
D) 44 cm
E) 55 cm

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An electron moving perpendicular to a uniform magnetic field of 3.2 × 10-2 T moves in a circle of radius 0.40 cm.How fast is this electron moving? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31kg)


A) 2.2 × 107 m/s
B) 1.9 × 107 m/s
C) 1.9 × 106 m/s
D) 3.0 × 107 m/s
E) 0.80 × 107 m/s

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A high power line carries a current of 1.0 kA.What is the magnitude of the B\vec { B } field this line produces at the ground,10 m away? (μ0 = 4π × 10-7 T ∙ m/A)


A) 4.7 µT
B) 6.4 µT
C) 20 µT
D) 56 µT

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A 2.0-m straight wire carrying a current of 0.60 A is oriented parallel to a uniform magnetic field of 0.50 T.What is the magnitude of the magnetic force exerted on it?


A) zero
B) 0.15 N
C) 0.30 N
D) 0.60 N

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


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

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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 acceleration of the electron.(e = 1.60 × 10-19 C,me1 = 9.11 × 10-31 kg)


A) 1.3 × 1018 m/s2
B) 3.0 × 1018 m/s2
C) 1.3 × 10-18 m/s2
D) 3.0 × 10-18 m/s2
E) 0 m/s2

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A very long thin wire produces a B\vec { B } field of 0.0020×104 T0.0020 \times 10 ^ { - 4 } \mathrm {~T} at a distance of 1.0 mm1.0 \mathrm {~mm} from the wire.What is the magnitude of the current? (μ0 = 4π × 10-7 T ∙ m/A)


A) 1.0 mA
B) 2.0 mA
C) 4000 mA
D) 3100 mA

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Alpha particles,each having a charge of +2e and a mass of 6.64 ×10-27 kg,are accelerated in a uniform 0.50 T0.50 \mathrm {~T} B\vec { B } field to a final orbit radius of 0.50 m0.50 \mathrm {~m} The B\vec { B } field is perpendicular to the velocity of the particles.What is the kinetic energy of an alpha particle in the final orbit? (1 eV = 1.60 × 10-19 J,e = 1.60 × 10-19C)


A) 3.0 MeV
B) 2.6 MeV
C) 3.4 MeV
D) 3.9 MeV

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A

A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the magnitude of the B\vec { B } field at a point P,located at y = 2 cm,due to the current in this wire? (μ0 = 4π × 10-7 T ∙ m/A)  A long straight wire carrying a 4-A current is placed along the x-axis as shown in the figure.What is the magnitude of the  \vec { B }  field at a point P,located at y = 2 cm,due to the current in this wire? (μ<sub>0</sub> = 4π × 10<sup>-7</sup> T ∙ m/A)    A) 20 μT B) 30 μT C) 40 μT D) 50 μT E) 60 μT


A) 20 μT
B) 30 μT
C) 40 μT
D) 50 μT
E) 60 μT

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An electron moving perpendicular to a uniform magnetic field of 0.22 T moves in a circle with a speed of 1.5 × 107 m/s.What is the radius of the circle? (e = 1.60 × 10-19 C,melectron = 9.11 × 10-31kg)


A) 1.5 mm
B) 0.22 mm
C) 2.2 mm
D) 0.39 mm
E) 3.9 mm

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A flat circular loop carrying a current of 2.0 A is in a B\vec { B } field of 3.5 T.The loop has an area of 0.12 m2 and its plane is oriented at a 37° angle to the B\vec { B } field.What is the magnitude of the magnetic torque exerted on the loop?


A) 0.10 N ∙ m
B) 0.51 N ∙ m
C) 0.67 N ∙ m
D) 46 N ∙ m

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Three long parallel wires each carry 2.0-A currents in the same direction.The wires are oriented vertically,and they pass through three of the corners of a horizontal square of side 4.0 cm.What is the magnitude of the B\vec { B } field at the fourth (unoccupied) corner of the square due to these wires? (μ0 = 4π × 10-7 T ∙ m/A)


A) 1.2 µT
B) 2.1 µT
C) 12 µT
D) 21 µT
E) 0 T

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A straight 1.0-m long wire is carrying a current.The wire is placed perpendicular to a 0.20-T B\vec { B } field.If the magnetic force exerted on the wire has a magnitude of 0.60 N,what is the current in the wire?


A) 2.0 A
B) 1.0 A
C) 3.0 A
D) 4.0 A
E) 5.0 A

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C

A proton,with mass 1.67 × 10-27 kg and charge +1.6 × 10-19 C,is sent with velocity 2.3×104 m/s2.3 \times 10^4 \mathrm {~m} / \mathrm { s } in the +x direction into a region where there is a uniform E\vec { E } field of magnitude 780 V/m780 \mathrm {~V} / \mathrm { m } in the +y direction.What must be the magnitude and direction of the uniform B\vec { B } field in the region if the proton is to pass through undeflected? Assume that the magnetic field has no x component and neglect gravitational effects.

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An electron moving along the +x-axis enters a magnetic field.If the electron experiences a magnetic deflection in the -y direction,then the B\vec { B } field must have a component


A) along the +z-axis
B) along the -z-axis
C) along the -x-axis
D) along the +y-axis
E) along the -y-axis

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An electron moving in the +y direction,at right angles to a magnetic field,the magnetic force exerted on it is in the -x direction.The direction of the B\vec { B } field is in the


A) -x direction.
B) +x direction.
C) +y direction.
D) -z direction.
E) +z direction.

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