Two long fixed parallel vertical conducting rails AB and CD are separated by a distance L. They are connected by resistance R and a capacitance C at two ends as shown in the figure. There is a uniform magnetic field B directed horizon- tally into the plane of the figure. A horizontal metallic bar of length L and mass m can slide without friction along the rails. The bar is released from rest at t = 0. Neglect resistance of bar and rails and also neglect the self inductance of the loop.find the velocity of the rod at any time?

