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Capacitive reactance, X = 1 / ωC = 1 / 2πfC

1. X ∝ 1 / fC
2. X' / X = f' / f = C' / C = f / 2f = C / 2C = 1 / 4
3. X' = X / 4
4. Capacitive reactance, X = 1 / ωC = 1 / 2πfC

Correct answer: X ∝ 1 / fC

Solution

The formula for capacitive reactance is X = 1 / (2πfC), which implies that X is inversely proportional to both frequency (f) and capacitance (C). Thus, X ∝ 1 / fC is correct.

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