A `1.5 mu f` capacitor is charged to 20 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitance so that LC oscillations occur. Write the equation for variation of charge on capacitor and current in the inductor with time taking at the instant at which inductor is connected to the capacitor at t = 0

Explanation

To solve the problem, we need to derive the equations for the variation of charge on the capacitor and the current in the inductor during LC oscillations, starting from the moment the inductor is connected to the charged capacitor at \( t = 0 \).

### Step-by-Step Solution:

1. **Determine the Maximum Charge on the Capacitor:**
The maximum charge \( Q \) on the capacitor can be calculated using the formula:
\[
Q = C \cdot V
...