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A capacitor of capacity C has reactance X. If the capacitance and the frequency become double, then the reactance will be

Asked in NEET 2001 · Reactance and frequency

Answer: (3) X/4

Step-by-step solution

X_C=1/(2π fC), so the reactance is inversely proportional to both f and C.

Doubling the capacitance halves it; doubling the frequency halves it again.

X'=1/(2π(2f)(2C))=1/4·1/(2π fC)=X/4.

Why the other options are wrong

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