Question

The frequency for which a 5 $\mu$ F capacitor has reactance of $\frac{1}{1000}\Omega$ is given by

• A. $\frac{{10}^6}{\pi }Hz$
• B. $\frac{{10}^8}{\pi }Hz$
• C. $\frac{1}{1000}Hz$
• D. $1000Hz$

Answer 1

The correct option is B $\frac{{10}^8}{\pi }Hz$

$X_c=\frac{1}{\omega C}$ ; $\frac{1}{1000}=\frac{1}{2\pi f5\times {10}^{-6}}$
$f=\frac{1000}{\pi \times {10}^{-5}}=\frac{{10}^8}{\pi }Hz$