Question

A capacitor of capacitance C can be charged (with the help of a resistance R) by a voltage source V, by closing switch S₁ while keeping switch S₂ open. The capacitor can be connected in series with an inductor ‘L’ by closing switch S₂ and opening S₁.

After the capacitor gets fully charged, S₁ is opened and S₂ is closed so that the inductor is connected in series with the capacitor. Then, 

(A) At t = 0, energy stored in the circuit is purely in the form of magnetic energy. 

(B) At any time t > 0, current in the circuit is in the same direction. 

(C) At t > 0, there is no exchange of energy between the inductor and capacitor. 

(D) At any time t > 0, instantaneous current in the circuit is \(V\sqrt\frac CL\)

Answer 1

Correct option is (D) At any time t > 0, instantaneous current in the circuit is \(V\sqrt\frac CL\) 

Now when S₁ is opened and S₂ is closed

At t = 0; energy stored is purely in capacitor. In this type of circuits, charge and current will be in the form of sin or cos. Thus oscillatory.