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Loop Acceleration in a Non-Uniform Magnetic Field

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A conducting loop of area A, mass m, and resistance R moves with velocity v through a non-uniform magnetic field perpendicular to the loop’s plane. The field’s magnitude is given by B = kx, where k is a constant. What is the magnitude of the loop’s acceleration?

A

kA/mR

B

k²A²v/mR

C

kAv/mR

D

k²A²v²/mR

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