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(C) In an $RC$ series circuit,the current $I$ flows through both the resistor $R$ and the capacitor $C$.$1$. The voltage across the resistor ($V_R$,me

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$I$ and $II$ only

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(C) In an $RC$ series circuit,the current $I$ flows through both the resistor $R$ and the capacitor $C$.$1$. The voltage across the resistor ($V_R$,measured by $V_2$) is always in phase with the current ($I$,measured by $A$). Thus,statement $I$ is correct.$2$. The voltage across the capacitor ($V_C$,measured by $V_1$) lags behind the current by $\frac{\pi}{2}$.$3$. Since $V_R$ is in phase with $I$,and $V_C$ lags behind $I$ by $\frac{\pi}{2}$,it follows that $V_C$ lags behind $V_R$ by $\frac{\pi}{2}$. This means $V_R$ is ahead of $V_C$ by $\frac{\pi}{2}$. Therefore,statement $II$ is correct.$4$. Statement $III$ is incorrect because $V_1$ (voltage across capacitor) lags behind the current $A$ by $\frac{\pi}{2}$.Thus,both statements $I$ and $II$ are correct.

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