If both the AC frequency and capacitance of a capacitor are doubled, how does its capacitive reactance change?
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If both the AC frequency and capacitance of a capacitor are doubled, how does its capacitive reactance change?

G1 Physics · Accepted Answer

Step 1: For a capacitor driven at angular frequency ω, capacitive reactance X(C) = 1/(ωC) = 1/(2πfC). Step 2: Doubling frequency and capacitance gives X′꜀ = 1/[2π(2f)(2C)] = X(C)/4. Step 3: Thus new reactance is X/4. Answer D. Final answer: (D) X/4.