A paralle plate capacitor of capacitance `0.2 muF` is connected across an a.c. source of angular frequency `500 rad s^-1`. The value of conduction current is 2mA. What is the rms value of the voltage from the source? What is the displacement current across the capacitor plates?

Answer

20V, 2mA

Explanation

Here, `C=0.2 muF=0.2xx10^-6F=2xx10^-7F`,
`omega=500rads^-1, I_(rms)=2mA=2xx10^-3A`
`V_(rms)=X_(c)I_(rms)=1/(omegaC). I_(rms)=(2xx10^-3)/(500xx(2xx10^-7))`
`=20V`
Displacement current =conduction current
`=2mA`