G5A06 - How does a capacitor react to AC?

Question

How does a capacitor react to AC?

Answer Options

  • A) As the frequency of the applied AC increases, the reactance decreases
  • B) As the frequency of the applied AC increases, the reactance increases
  • C) As the amplitude of the applied AC increases, the reactance increases
  • D) As the amplitude of the applied AC increases, the reactance decreases

Correct Answer: A


Explanation

A capacitor’s opposition to AC current (capacitive reactance, X_C) is inversely proportional to the frequency of the applied current. The formula for capacitive reactance is X_C = 1 / (2\pi f C), where f is the frequency and C is the capacitance.

This formula clearly shows that as the frequency of the applied AC increases, the reactance decreases. At a very high frequency, a capacitor acts almost like a short circuit (very low impedance), a property that makes capacitors useful in RF bypass and coupling circuits.


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