Problem 4.95

An oscillating circuit consisting of a capacitor with capacitance $C$ and a coil of inductance $L$ maintains free undamped oscillations with voltage amplitude across the capacitor equal to $V_{m}$. For an arbitrary moment of time find the relation between the current $I$ in the circuit and the voltage $V$ across the capacitor. Solve this problem using Ohm's law and then the energy conservation law.