Given below are two statements:Statement I: M | vedclass

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(C) The power dissipated in an $AC$ circuit is given by $P = V_{rms} I_{rms} \cos \phi$, where $\cos \phi$ is the power factor.For a series $LCR$ circ

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Both Statement $I$ and Statement $II$ are true.

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(C) The power dissipated in an $AC$ circuit is given by $P = V_{rms} I_{rms} \cos \phi$, where $\cos \phi$ is the power factor.For a series $LCR$ circuit, the impedance is $Z = \sqrt{R^2 + (X_L - X_C)^2}$.At resonance, $X_L = X_C$, which makes the impedance $Z$ minimum $(Z = R)$ and the phase difference $\phi = 0$. Thus, $\cos \phi = 1$, and power dissipation is maximum. Therefore, Statement $I$ is true.In a pure resistive circuit, the current and voltage are in the same phase $(\phi = 0)$, so $\cos \phi = 1$. This results in maximum power dissipation for a given voltage. Therefore, Statement $II$ is true.Hence, both statements are correct.

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