Assertion : A capacitor blocks direct current | vedclass

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(A) The capacitive reactance $X_{C}$ is given by the formula $X_{C} = \frac{1}{2 \pi f C}$.For direct current $(DC)$,the frequency $f$ is $0$.Substitu

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) The capacitive reactance $X_{C}$ is given by the formula $X_{C} = \frac{1}{2 \pi f C}$.For direct current $(DC)$,the frequency $f$ is $0$.Substituting $f = 0$ into the formula,we get $X_{C} = \frac{1}{2 \pi (0) C} = \infty$.Since the capacitive reactance becomes infinite for $DC$,the capacitor offers infinite resistance to the flow of direct current,effectively blocking it in the steady state.Therefore,both the Assertion and the Reason are correct,and the Reason correctly explains why the capacitor blocks $DC$.Hence,option $A$ is correct.

Assertion : $A$ capacitor blocks direct current in the steady state.
Reason : The capacitive reactance of the capacitor is inversely proportional to frequency $f$ of the source of $emf$.

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Assertion : $A$ capacitor blocks direct current in the steady state.Reason : The capacitive reactance of the capacitor is inversely proportional to frequency $f$ of the source of $emf$.