As shown in , a rod in uniform magnetic field is free to slide on two rails. The

Question

As shown in , a rod in uniform magnetic field is free to slide on two rails. The resistances of the rod and the rails are negligible. Electrical continuity between the rails and the rod is assumed, so a current can flow through the rod. A damping force, Fd, tending to slow down the rod, is proportional to the square of the rods speed as follows: Fd = kfu2 where kf = 1500. Assume that the inductance in this circuit can be ignored. Find the steady state speed u of the rod, assuming the system extends endlessly to the right.

Explanation / Answer

F= ilB= Fd

i = 50/0.1 = 500A

500*2*1 = 1500 *u2

therefore u = (2/3)1/2 = 0.8164(m/sec)

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