Question

An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 $\mu$F. The impedence of the circuit is

• A. $\frac{\pi}{5000}$
• B. $\frac{1000}{\pi}$
• C. $500 \pi$
• D. $\frac{5000}{\pi}$

Answer 1

Answer: (D)

$\frac{5000}{\pi}$

Answer 2

Impedence of a capacitor is $X_{C}=1/ \omega C$
$X_{C}=\frac{1}{2 \pi f C}=\frac{1}{2 \pi\times50\times2\times10^{-6}} =\frac{5000}{\pi} .$