# Q7.12 (b)    An  circuit contains a  inductor and a  capacitor with an initial charge of . The resistance of the circuit is negligible. Let the instant the circuit is closed be . What is the natural frequency of the circuit?

Given,

The inductance of the inductor:

The capacitance of the capacitor :

The initial charge on the capacitor:

The natural angular  frequency of the circuit:

Hence the natural angular frequency of the circuit is .

The natural frequency of the circuit:

Hence natural frequency of the circuit is 159Hz.

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