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Terminal Velocity of a Conducting Loop
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A rectangular conducting loop of mass $m$, width $w$, and resistance $R$ falls vertically under gravity through a region with a uniform horizontal magnetic field $B$. After it reaches terminal velocity, what is the magnitude of this terminal velocity $v_t$?

A

$$v_t = \sqrt{\dfrac{mgR}{Bw}}$$

B

$$v_t = \dfrac{mgR}{Bw}$$

C

$$v_t = \dfrac{mg}{B^2w^2R}$$

D

$$v_t = \dfrac{mgR}{B^2w^2}$$

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