Question

In an ac circuit , an alternating voltage $e = 200 \sqrt2 \,sin \,100\, t$ volts is connected to a capacitor of capacitance $1 \,\mu \,F$. The rms value of the current in the circuit is :

• A. 10 mA
• B. 100 mA
• C. 200 mA
• D. 20 mA

Answer 1

The Correct Option is D

given $e =200 \sqrt{2} \sin 100 t$
$\omega=100 \frac{ rad }{ sec }$
$E _{ rms }=\frac{200 \sqrt{2}}{\sqrt{2}}$
$C =1 \times 10^{-6}$
$Z = X _{ c }=\frac{1}{\omega C }=\frac{1}{100 \times 10^{-6}}=10^{4} \Omega$
$I =\frac{ E _{ rms }}{ Z }=\frac{\frac{200 \sqrt{2}}{\sqrt{2}}}{10^{4}}=2 \times 10^{-2} A =20 mA$