Question

The frequency for which a $5.0\mu F$ capacitor has a reactance of $1000\Omega$ is given by:

• A. $\frac{1000}{\pi }$ cycles/sec
• B. $\frac{100}{\pi }$ cycles/sec
• C. $200$ cycle/s
• D. $5000$ cycles/sec

Answer 1

The correct option is B $\frac{100}{\pi }$ cycles/sec

$C=5\mu X_l=\frac{1}{\omega L}\omega =\frac{1}{5\times {10}^{-6}}\times 1000.2\times {10}^{3}f=\frac{100}{\pi }cycles/sec$