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Megnetic Effects

Q-  An aluminum bar slides without friction along Horizontal metal rails through a vertical magnetic field B. The distance between the rails is l. The switch closes at t=0s, while the bar is at rest, and a battery of emf V, starts a current flowing around the loop. The battery has internal resistance r. The resistance of the rails and the bar are effectively zero.

a) Find the speed of the bar as a function of time  

b) What is the terminal velocity of the bar (if the rails are too long)

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