Derive the expression for the average power disspated in a series LCR circuit for an ac source of a voltage, `v=v_(m)sinomegat`, carrying a current, `i=i_(m)sin(omegat+phi)`.
Hence, define the term ''Wattless current''. State under what condition it can be realized in a circuit.

Explanation

To derive the expression for the average power dissipated in a series LCR circuit with an AC source, we start with the given voltage and current equations.

### Step 1: Write the expressions for voltage and current
The voltage across the circuit is given by:
\[ v = V_m \sin(\omega t) \]
The current through the circuit is given by:
\[ i = I_m \sin(\omega t + \phi) \]

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