Question

A sinusoidal supply of frequency $10Hz$ and r.ms. voltage $12V$ is connected to a $2.1\mu F$ capacitor. What is r.m.s value of current ?

• A. $5.5mA$
• B. $20mA$
• C. $26mA$
• D. $1.6mA$

Answer 1

The correct option is D $1.6mA$

$V_{rms}=12V$

$\omega =2\pi \times 10$

$20\pi$

$C=2.1\mu F$

$X_c=\frac{1}{\omega c}=\frac{1}{20\pi \times 2.1\times {10}^{-6}}$

$I_{rms}=\frac{V_{rms}}{Xc}=12\times 20\pi \times 2.1\times {10}^{-6}$

$=1.6mA$