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Magnetic Force on Conducting Loops
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Two identical conducting loops with radius $$r$$ and resistance $$R$$ are placed in a uniform magnetic field $$B$$ perpendicular to their planes. Loop 1 is stationary while loop 2 moves with constant acceleration $$a$$ perpendicular to the field. At the instant when loop 2’s velocity is $$v$$, what is the ratio of the magnetic force on loop 2 to the magnetic force on loop 1?

A

$$v/(aR)$$

B

$$v^2/(aR)$$

C

Undefined (the force on loop 1 is zero, making the ratio indeterminate)

D

1

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