Question

A $60\mu F$ capacitor is connected to a $110V(rms)$, $60Hz$ ac supply. The rms value of current in the circuit is

• A. $1.49A$
• B. $14.9A$
• C. $2.49A$
• D. $24.9A$

Answer 1

Answer: (C)

Capacitor C $=60\mu F$
Peak voltage $V_{rms}=110V$
$AC$ supply freqency $f=60Hz$
$I_{rms}=\frac{V_{rms}}{X_C}$
Capacitive Reactance $X_C=\frac{1}{wC}$
$I_{rms}=\frac{V_{rms}}{\frac{1}{wC}}$
$\therefore I_{rms}=V_{rms}2\pi fC$
$\therefore I_{rms}=110\times 2\pi \times 60\times 60\times 10^{-6}$
$\therefore I_{rms}=2.49A$
Thus the rms value of current in the circuit is $2.49A$