In Figure, the rod has a resistance R and the rails are horizontal and have negligible resistance.

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In Figure, the rod has a resistance R and the rails are horizontal and have negligible resistance. A battery of emf E and negligible internal resistance is connected between points a and b such that the current in the rod is downward. The rod is placed at rest at t = 0.

(a) Find the force on the rod as a function of the speed v and write Newton's second law for the rod when it has speed v.

(b) Show that the rod moves at a terminal speed and find an expression for it.

(c) What is the current when the rod will approach its terminal speed?

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