Problem 58E

In Problem 57 find the current when the circuit is in resonance.

Reference : Problem 57

Find the charge on the capacitor and the current in an LC circuit when E(t) = E0 cos γt V, q(0) = q0 C, and i(0) = i0 A.

Solution

In this question we have to find the current when the circuit is in resonance

when, and .

Step 1

Resonance occurs when

=> leads to

when reaches maximum is it called the maximum resonance and the frequency is called resonant frequency

At resonance

Therefore the current is

.