[QUE/EM-04003] EM-PROBLEM

Two closed equipotentials \(\phi_1\) and \(\phi_2\)are such that \(\phi_1\) contains \(\phi_2\);Let \(\phi\) be the potential at any point \(P\) between them. If a charge \(q\) is now put at point \(P\) and the equipotentials are replaced by grounded conducting surfaces, show that thecharges \(q_1, q_2\),  induced on the two conductors satisfy the relation \[\frac{q_1}{(\phi_2 - \phi_P)} = \frac{q_2}{(\phi_p -\phi_1)} = \frac{q}{(\phi_2 -\phi_1)}\].