Discussion
In an ac circuit containing an ac source of frequency \(f\) , a capacitor offers a reactance which is proportional to
Answer: A
The capacitive reactance is proportional to \(\dfrac{1}{f}\).
\(X_{C} = \frac{1}{2\pi fC}\). At higher frequencies the capacitor charges and discharges more often and passes more current, so it offers less opposition; for direct current (\(f = 0\)) it blocks completely.
Proportionality to \(f\) describes an inductor, \(X_{L} = 2\pi fL\). The squared and square-root forms do not occur for a single capacitor.
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