A fully charged capacitor C with initial charge q₀ is connected to a coil of selfinductance L at t=0 . The time at which the energy is stored equally between the electric and the magnetic field is

Step-by-step solution

In L C -oscillation, maximum stored energy in inductor coil L is 1 2 L I₀^2 and maximum stored energy in capacitor (C) is q₀^2 2 C . Since, energy is equally divided in L and C . Hence, total stored energy aligned & E= 1 2 maximum stored energy in either L o & 1 2 L I^2= 1 2 1 2 L I₀^2 I^2= ( I₀ 2 )^2 I= I₀ 2 aligned We know that, I=I₀ t aligned & I₀ 2 =I₀ t 4 = 2 T t & 4 = 2 T t t= T 8 = 2 L C 8 = L C 4 aligned