Question

A 100 \(\mu F\) capacitor is connected to a 100 V, 50 Hz AC supply. The rms value of the current is

• A. 3.14 A
• B. 4.75 A
• C. 2.33 A
• D. 5.5 A

Hint:

Capacitive reactance is inversely proportional to frequency and capacitance.
Use \(I = \frac{V}{X_C}\) to find current in capacitive circuits.

Answer 1

The Correct Option is A

Impedance of capacitor: \[ X_C = \frac{1}{2\pi f C} = \frac{1}{2\pi \cdot 50 \cdot 100 \times 10^{-6}} = \frac{1}{0.0314} \approx 31.8\ \Omega \] \[ I = \frac{V}{X_C} = \frac{100}{31.8} \approx 3.14\ \text{A} \]