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Force on a Loop in a Non-Uniform Field
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A rectangular loop with length L, width W, and resistance R moves with velocity v parallel to its width through a non-uniform magnetic field that varies linearly with position as $$B = kx$$, where k is a constant. If the loop is oriented perpendicular to the field, what is the magnetic force on the loop?

A

k²L²W²v/R

B

kL²Wv²/R

C

k²LWv/R

D

kLWv/R

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