Question

A 5 $\mu$F capacitor is connected to a 200 V, 100 Hz ac source. The capacitive reactance is:

• A. $212\Omega$
• B. $312\Omega$
• C. $318\Omega$
• D. $412\Omega$

Answer 1

Answer: (C)

$318\Omega$

Given: The capacitance of the capacitor is $5\mu F$.

The voltage supplied is $200V$.

The frequency of the voltage supplied is $100Hz$.

To find: The capacitive reactance of the capacitor.

The reactance of the capacitor is given by:

$X_C=\frac{1}{{\omega }_C}=\frac{1}{2\pi f_C}$

$\Rightarrow \frac{1}{2\pi \times 100\times 5}=318\Omega$