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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 at a constant velocity v. The plane of the loop is perpendicular to a non-uniform magnetic field whose magnitude is given by B=kxB = kx, where k is a constant. If the loop’s velocity is parallel to its width, what is the net magnetic force on the loop?

A

kLWv/R

B

k²LWv/R

C

k²L²W²v/R

D

kL²Wv²/R

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