Question

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power and connected in series with a 0.240-mH inductor.

Calculate the energy stored in the inductor at t = 1.45 ms .

Answer 1

If the capacitor is fully charged, the total charge stored in the capacitor initially
  
And if the power is disconnected from the circuit and the capacitor is connected in series with an inductor, then from the Kirchoff law, the equation for the LC circuit is
     
  
  
   
where,
   
  
And the general solution is
   
And the current through the circuit is
  
And given the initial condition
  
And
     
And so, the electric charge is
  
And so,
   
And so, the energy stored in the inductor at any arbitrary time t is