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Terminal Velocity of a Conducting Loop

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A rectangular conducting loop with mass $m$, width $w$, and resistance $R$ falls under the influence of gravity through a region containing a uniform horizontal magnetic field $B$. What is the magnitude of the loop’s terminal velocity, $v_t$?

A

vt=mgRB2w2v_t = \dfrac{mgR}{B^2w^2}

B

vt=mgB2w2Rv_t = \dfrac{mg}{B^2w^2R}

C

vt=mgRBwv_t = \dfrac{mgR}{Bw}

D

vt=mgRBwv_t = \sqrt{\dfrac{mgR}{Bw}}

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