Question

In an a.c circuit an alternating voltage $e=200\sqrt{2}sin100t$ volts is connected to a capacitor of capacity $1\mu F$. The r.m.s. value of the current in the circuit is :

• A. 10 mA
• B. 100 mA
• C. 200 mA
• D. 20 mA

Answer 1

The correct option is D 20 mA

Given:- $e=200\sqrt{2}\sin 100t,C=1\mu F$

$e_{rms}=\frac{200\sqrt{2}}{\sqrt{2}}$ = 200 V

$X_C=\frac{1}{\omega C}=\frac{{10}^6}{100}={10}^4$

$I_{rms}=\frac{E_{rms}}{X_C}=\frac{200}{{10}^4}=20mA$