Question: A capacitor is connected to a variable-frequency ac voltage source. (a) If the frequency increases by a factor of 3, the capacitive reactance will be

A capacitor is connected to a variable-frequency ac voltage source.
(a) If the frequency increases by a factor of 3, the capacitive reactance will be (1) 3, (2) 1/3, (3) 9, (4) 1/9 times the original reactance. Why?
(b) If the capacitive reactance of a capacitor at 120 Hz is 100-Ω, what is its reactance if the frequency is changed to 60 Hz?

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