Question

Write an expression for average power loss in an alternating power loss in an alternating current circuit.

Answer 1

Average power dissipated in an alternating RLC circuit $P_{avg}=V_{rms}{I}_{rms}\cos \varphi$
where, $V_{rms}$ and $I_{rms}$ is the rams values of voltage and current in the RLC circuit and $\cos \varphi$ is the power factor of the circuit.
Also we know $\cos \varphi =\frac{R}{Z}$
where $R$ is the resistance and Z is the impedance of circuit.
And $V_{rms}=I_{rms}Z$
$⟹P_{avg}=I_{rms}^{2}R$