Question

The capacitive reactance of a condenser of capacity 25$\mu$F for an AC of frequency 4000 Hz will be

• A. $\frac{5}{\pi }\Omega$
• B. $\frac{10}{\pi }\Omega$
• C. $5\pi \Omega$
• D. $\frac{\pi }{5}\Omega$

Answer 1

The correct option is A $\frac{5}{\pi }\Omega$

$X_C=\frac{1}{\omega C}$

$X_C=\frac{1}{2\pi f\times C}$

$X_C=\frac{1}{2\pi \times 4000\times 25\times {10}^{-6}}$

$X_C=\frac{5}{\pi }$.