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Motional EMF and Applied Force

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A square conducting loop of side length $L$ and resistance $R$ is pulled at a constant velocity $v$ from a region with a uniform magnetic field $B$ that is perpendicular to the loop’s plane. At the instant when half the loop’s area is within the field, what is the magnitude of the applied force required to maintain this constant velocity?

A

F=B2L2vRF = \frac{B^2 L^2 v}{R}

B

F=B2L2v2RF = \frac{B^2 L^2 v}{2R}

C

F=B2LvRF = \frac{B^2 L v}{R}

D

F=BLvF = BLv

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