Question

A $40\, \mu\,F$ capacitor is connected to a $200\,V$,$50\,Hz$ ac supply. The rms value of the current in the circuit is, nearly :

• A. 1. 7 A
• B. 2. 05 A
• C. 2. 5 A
• D. 25. 1 A

Answer 1

Answer: (C)

2. 5 A

Answer 2

The correct option is(C):2. 5 A

The rms value of the current
$i_{\text{rms}}=C\,\omega\,\varepsilon_{\text{rms}}$
$C=40\times10^{-6}F$
$\omega=2\pi\,f =100\,\pi$
$\varepsilon_{\text{rms}}=200\,V$
$\therefore i_{\text{rms}}=200\times40\times10^{-6}\times2\pi\times50$
$=2.5\,A$