At t=0 the switch s of the adjacent network is closed. The connector has mass m, length l and resitanceR; it is free to move on the rails. The capacitance of the capacitor is C. It is initially uncharged and a uniform magnetic field exists into the plane of the paper. What is the charge on the capacitor after a long time??...........answer is EmC/( C 2 B 2 l 2 + m)..........please post the solution specially the portion wher velocity of the connector is substituted.

At t=0 the switch s of the adjacent network is closed. The connector has mass m, length  l and resitanceR; it is free to move on the rails. The capacitance of the capacitor is C. It is initially uncharged and a uniform magnetic field exists into the plane of the paper. What is the charge on the capacitor after a long time??...........answer is EmC/( C²B²l² + m)..........please post the solution specially the portion wher  velocity of the connector is substituted.