A voltage `V = V_(0)sinomegat` is applied to a series LCR circuit. Derive expression for the average power dissipated over a cycle.
Under What condition (i) no power is dissipated even though the current flows through the circuit?
(ii) Maximum power is dissipated in the circuit?

Explanation

To derive the expression for the average power dissipated over a cycle in a series LCR circuit with a voltage \( V = V_0 \sin(\omega t) \), we follow these steps:

### Step 1: Write the expression for instantaneous power
The instantaneous power \( P(t) \) in the circuit can be expressed as:
\[ P(t) = I^2 R \]
where \( I \) is the current flowing through the circuit and \( R \) is the resistance.
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