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Motional EMF and Terminal Velocity
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A conducting rod of mass m slides down frictionless conducting rails that form a 30° angle with the horizontal. The rails are separated by a distance L and are connected at the bottom by a resistor of resistance R. A uniform magnetic field B points perpendicular to the plane of the rails (into the page). What is the terminal velocity the rod will reach as it slides down?

A

$$\frac{mgR}{B^2L^2 \sin(30^\circ)}$$

B

$$\frac{mgR\sin(30^\circ)}{B^2L^2}$$

C

$$\frac{mgR}{BL\sin(30^\circ)}$$

D

$$\frac{mg\sin(30^\circ)}{BL}$$

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