Question

The formula of capacitative reactance is

• A. \( 2 \pi f C \)
• B. \( \frac{fC}{2\pi} \)
• C. \( \frac{C}{2\pi f} \)
• D. \( \frac{1}{2\pi f C} \)

Hint:

In AC circuits, capacitive reactance decreases with increasing frequency. Remember the inverse relationship: \( X_C \propto \frac{1}{fC} \)

Answer 1

The Correct Option is D

Capacitive reactance \( X_C \) is given by the formula: \[ X_C = \frac{1}{2\pi f C} \] where: - \( f \) is the frequency,
- \( C \) is the capacitance,
- \( \pi \) is the constant 3.141...
This formula indicates that the reactance is inversely proportional to both the frequency and capacitance.