Question
Download Solution PDFIf the frequency of an AC source connected to a pure capacitor is doubled, the capacitive reactance will ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The capacitive reactance XC for a series RC circuit is given by:
\(X_C={1\over 2\pi fC}\)
From the above expression, we found that the frequency is inversely proportional to the capacitive reactance.
Calculation
Given, f2 = 2f1
\({X_{C2}\over X_{C1}}={f_1\over f_2}\)
\({X_{C2}\over X_{C1}}={f_1\over 2f_1}\)
\({X_{C2}}={X_{C1}\over 2}\)
If the frequency of an AC source connected to a pure capacitor is doubled, the capacitive reactance will decrease by half.
Last updated on Jun 7, 2025
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