Question

A $3\mu F$ capacitor is connected to a $220V,50Hz$ a.c source. Calculate the rms value of current through the circuit. Also, find the peak value of voltage across the capacitor.

• A. $0.207A,311.1V$
• B. $0.307A,311.1V$
• C. $0.208A,301V$
• D. $0.206A,208V$

Answer 1

Answer: (A)

Here, $C=3\times 10^{-6}F,E_y$
$=220V,v=50Hz$
$I_v=?E_0=?$
$I_v=\frac{E_v}{X_c}$
$=\frac{E_v}{\frac{1}{\omega C}}=E_v\times \omega C$
$I_v=E_{v}2\pi vC$
$I_v=220\times 2\times \frac{22}{7}\times 50\times 3\times 10^{-6}$
$=0.207A$
$\therefore E_0=\sqrt{2}{E}_v=1.41\times 220=311.1V$