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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



Question ID - 154104 | SaraNextGen Top Answer

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
Answer Key / Explanation : (5) -

(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