### Find the current in the circuit as a function of time

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Assignment -

Q1. An oscillating circuit consists of a capacitor with capacitance C, a coil of inductance L with negligible resistance, and a switch. With the switch disconnected, the capacitor was charged to a voltage Vm and then at the moment t = 0 the switch was closed. Find:

(a) The current I(t) in the circuit as a function of time;

(b) The emf of self-inductance in the coil at the moments when the electric energy of the capacitor is equal to that of the current in the coil.

Q2. A circuit consists of a capacitor with capacitance C and a coil of inductance L connected in series, as well as a switch and a resistance equal to the critical value for this circuit. With the switch disconnected, the capacitor was charged to a voltage V0, and at the moment t = 0 the switch was closed. Find the current I in the circuit as a function of time t. What is Imax equal to?

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