Charge X is in a region of uniform magnetic field while charge Y isseparately in a region of uniform electric field. If both charges are initially held at rest,which of the following best describes the motion of the charges after they are released?(Neglect gravitational effects)A. Only charge X acceleratesB. Only charge Y acceleratesC. Both charges accelerateD. Neither of the charges acceleratesE. X will change direction, Y willaccelerate
Question
Charge X is in a region of uniform magnetic field while charge Y isseparately in a region of uniform electric field. If both charges are initially held at rest,which of the following best describes the motion of the charges after they are released?(Neglect gravitational effects)A. Only charge X acceleratesB. Only charge Y acceleratesC. Both charges accelerateD. Neither of the charges acceleratesE. X will change direction, Y willaccelerate
Solution
The correct answer is B. Only charge Y accelerates.
Here's why:
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A magnetic field does not exert a force on a stationary charge. The force exerted by a magnetic field on a charge is given by F = qvBsinθ, where q is the charge, v is the velocity of the charge, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field. If the charge is stationary (v = 0), then the force is zero, so the charge does not accelerate.
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An electric field, on the other hand, does exert a force on a stationary charge. The force exerted by an electric field on a charge is given by F = qE, where q is the charge and E is the electric field strength. This force is not dependent on the velocity of the charge, so even a stationary charge will experience a force and therefore accelerate.
Therefore, when both charges are released, only charge Y in the electric field will accelerate.
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