Question

A capacitor is charged to a potential of V₀. It is connected with an inductor through a switch S. The switch is closed at time t = 0. Which of the following statements(s) is/are correct? 

(a) The maximum current in the circuit is V₀ √C/L

(b) Potential across capacitor becomes zero for the first time at t = π√LC 

(c) Energy stored in the inductor at time t = π/2√LC is 1/2CV₀²  

(d) Maximum energy stored in the inductor is 1/2CV₀²  

Answer 1

Correct option: (a,c,d)

Explanation: 

Also, we know that for this series LC circuit,

So, potential across the capacitor becomes zero when ωt = π/2

Since at this moment t = π/2√LC , energy across the capacitor is zero, so energy across the inductor is maximum and has a value