1. Tardigrade
  2. Question
  3. Physics
  4. A sinusoidal supply of frequency 10 Hz and r.m.s. voltage 12 V is connected to a 2.1 μ F capacitor. What is r.m.s. value of current?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A sinusoidal supply of frequency $10 \,Hz$ and r.m.s. voltage $12\, V$ is connected to a $2.1 \,\mu F$ capacitor. What is r.m.s. value of current?

Alternating Current

Solution:

$f=10 Hz , $
$V_{ \text{rms }}=12\, V , $
$C=2.1 \,\mu F$
$I_{ rms }=\frac{V_{ \text{rms }}}{X_{c}}, $
$X_{C}=\frac{1}{\omega C}$
$\omega=2 \pi f$
Putting all values
$I_{ \text{rms }} \cong 1.6\,mA$