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Electromagnetic Damping Time Constant
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A conducting rod of mass m and length L is placed on two frictionless conducting rails separated by distance L. The rails are connected by a resistor R, forming a closed circuit. A uniform magnetic field B points perpendicular to the plane. If the rod is given an initial velocity $$v_0$$, what is the time it takes for the rod’s speed to decrease to $$v_0/e$$?

A

mR/BL

B

mR/B^2L

C

mR/B^2L^2

D

mR^2/B^2L^2

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