Question

A $30\mu F$ capacitor is connected to a $150V,60Hz$ AC supply. The RMS value of current in the circuit is

• A. $17A$
• B. $1.7A$
• C. $1.7mA$
• D. $1.7\mu A$

Answer 1

Answer: (B)

Given that
$C=30\mu F=30\times 10^{-6}F$
$V=150V,f=60Hz$
$I_{rms}=\frac{V}{X_C}=\frac{150}{\frac{1}{\omega C}}$
$=150\times \omega C$
$=150\times 2\pi f\times C$
$=150\times 2\times 3.14\times 60\times 30\times 10^{-6}$
$=1.6956A\sim eq1.7A$