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

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(D) Statement $I$ is correct: In a series $LCR$ circuit,the current is given by $I = \frac{V}{Z} = \frac{V}{\sqrt{R^2 + (X_L - X_C)^2}}$. As frequency

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

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(D) Statement $I$ is correct: In a series $LCR$ circuit,the current is given by $I = \frac{V}{Z} = \frac{V}{\sqrt{R^2 + (X_L - X_C)^2}}$. As frequency $f$ increases,$X_L = 2\pi fL$ increases and $X_C = \frac{1}{2\pi fC}$ decreases. At resonance,$X_L = X_C$,impedance $Z$ is minimum $(Z = R)$,and current $I$ is maximum. Thus,the current first increases to a maximum and then decreases.Statement $II$ is correct: At resonance,the circuit is purely resistive,meaning the phase angle $\phi = 0$. The power factor is $\cos \phi = \cos(0) = 1$.

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