A capacitor of capacitance C has reactance X in an AC circuit. If the capacitance and the frequency of the applied voltage are doubled, the new reactance will become:
Understand the Problem
The question asks what happens to the reactance of a capacitor if both the capacitance and the frequency of the applied voltage are doubled. We need to recall the formula for reactance and apply the given changes to determine the new reactance.
Answer
X/4
The final answer is X/4
Answer for screen readers
The final answer is X/4
More Information
The capacitive reactance (X) is inversely proportional to both the frequency (f) and the capacitance (C). When both f and C are doubled, the new reactance is the original reactance divided by 4.
Tips
Pay attention to the inverse relationship between capacitive reactance and frequency/capacitance when solving these problems.
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