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

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? (A) 5.5 mA (B) 20 mA (C) 26 mA (D) 1.6 mA

Tardigrade Admin · Accepted Answer

f=10 Hz , V textrms =12 V , C=2.1 μ F I rms =(V textrms /Xc), XC=(1/ω C) ω=2 π f Putting all values I textrms ≅ 1.6 mA

Q. 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?

5.5 mA

20 mA

26 mA

1.6 mA

$f = 10 Hz,$
$V_{rms} = 12 V,$
$C = 2.1 μ F$
$I_{r m s} = \frac{V _{rms}}{X _{c}},$
$X_{C} = \frac{1}{ω C}$
$ω = 2 π f$
Putting all values
$I_{rms} ≅ 1.6 m A$

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