Question

An alternating voltage $E\text{(in volts)}=200\sqrt{2}\sin 100t$ is connected to one micro farad capacitor through an a.c. ammeter. The reading of the ammeter shall be

• A. $10\text{mA}$
• B. $20\text{mA}$
• C. $40\text{mA}$
• D. $80\text{mA}$

Answer 1

Answer: (B)

$20\text{mA}$

$I=\frac{E}{X_C}=E\omega C=(\frac{E_0}{\sqrt{2}}\times \omega C)$
$\therefore$ $I=1\times \left(\frac{2}{100}\right)=20\times {10}^{-3}amp$