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

A

$$v/(aR)$$

B

$$v^2/(aR)$$

C

1

D

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

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