Question

In an ac circuit an alternating voltage $e=200\sqrt{2}\sin 100t$ volts is connected to a capacitor of capacity $1\mu \text{F}$.The r.m.s. value of the current in the circuit is :

• A. $20\text{mA}$
• B. $100\text{mA}$
• C. $10\text{mA}$
• D. $200\text{mA}$

Answer 1

The correct option is A $20\text{mA}$

Given:
$e=200\sqrt{2}\sin 100t$ v
$C=1\mu \text{F}$.
$i_{rms}=\frac{V_{rms}}{X_C}=\frac{200}{\left(\frac{1}{100\times {10}^{-6}}\right)}$
$i_{rms}=2\times {10}^{-2}=20\text{mA}$.
Hence, option $\left(D\right)$ is correct.