Question

The source frequency for which a $5\mu$ F capacitor has a reactance of 1000$\Omega$ is

• A. $\frac{100}{\pi }$ Hz
• B. $\frac{1000}{\pi }$ Hz
• C. $200Hz$
• D. $5000Hz$

Answer 1

The correct option is A $\frac{100}{\pi }$ Hz

$X_C=\frac{1}{\omega C}$
$=\frac{1}{2\pi fC}$
$f=\frac{1}{2\pi X_{c}C}$
$=\frac{1}{2\pi \times 1000\times 5\times {10}^{-6}}$
$=\frac{100}{\pi }Hz$