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

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(A) Statement $I$ is false because electrical resonance in an $AC$ circuit requires the presence of both an inductor $(L)$ and a capacitor $(C)$ so th

Vedclass · Accepted Answer

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

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(A) Statement $I$ is false because electrical resonance in an $AC$ circuit requires the presence of both an inductor $(L)$ and a capacitor $(C)$ so that the inductive reactance $(X_L = \omega L)$ and capacitive reactance $(X_C = 1/\omega C)$ can cancel each other out,resulting in a phase angle $\phi = 0$.Statement $II$ is false because for a pure inductor or a pure capacitor,the phase difference between voltage and current is $\pi/2$. The power factor is $\cos(\pi/2) = 0$. Therefore,the average power consumed by a pure inductor or a pure capacitor is $P = V_{rms} I_{rms} \cos(\phi) = 0$. They do not consume high power; they consume zero power.Since both statements are incorrect,the correct option is $A$.

List-$I$	List-$II$
$A$. Purely capacitive circuit	$I$. $I$ leads $V$ by $90^{\circ}$
$B$. Purely inductive circuit	$II$. $I$ and $V$ are in phase
$C$. $LCR$ series at resonance	$III$. $V$ leads $I$ by angle $\theta$
$D$. $LCR$ series circuit	$IV$. $V$ leads $I$ by $90^{\circ}$

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