In an oscillating (L C ) circuit, the maximum charge on the capacitor is (Q ). The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is

Step-by-step solution

Given, in an oscillating (L C ) circuit, maximum charge on the capacitor (=Q ) We know that, total energy stored in the capacitor, (U= 1 2 Q^2 C ) ( ) Energy is equally distributed in a electric field and magnetic field, so the energy stored in the capacitor is half of maximum. ( 1 2 ) (energy stored in (C ), in electric field) (= ) energy stored in (C ), in magnetic field ( array rlrl & 1 2 1 2 Q^2 C = 1 2 Q^ 2 C or & 1 4 Q^2 C = 1 2 Q^ 2 C or & Q^ 2 = 2 Q^2 4 or & Q^ = Q 2 array ) Hence, the charge on the capacit