Question

A $40\mu \text{F}$ capacitor is connected to a $200\text{V},50\text{Hz}$ AC supply. The RMS value of the current in the circuit is nearly

• A. $2.5\text{A}$
• B. $25.1\text{A}$
• C. $1.7\text{A}$
• D. $2.05\text{A}$

Answer 1

The correct option is A $2.5\text{A}$

The impedance of the capacitor is given by:
$X_c=\frac{1}{2\pi fC}$
$I_{rms}=\frac{V}{X_c}$
$I_{rms}=200\times 2\times \pi \times 50\times 40\times {10}^{-6}$
$I_{rms}=2.5\text{A}$