Figure shows a conducting rod of length cm, resistance and mass mg moving vertically downward due to gravity. Other parts are kept fixed. Magnetic field is T. and are vertical, smooth, conducting rails. The capacitance of the capacitor is mF. The rod is released from rest. Find the maximum current (in mA) in the circuit

Figure shows a conducting rod of length cm, resistance and mass mg moving vertically downward due to gravity. Other parts are kept fixed. Magnetic field is T. and are vertical, smooth, conducting rails. The capacitance of the capacitor is mF. The rod is released from rest. Find the maximum current (in mA) in the circuit

1 Answer

127 votes

**(5)**

By Newton’s law, (i)

Using KVL (ii)

Differentiating equation (ii) w.r.t time, we get

(iii)

Eliminating from equations (i) and (iii), we get

will be maximum when . Use this in equation (iv)

127 votes

127