A parallel plate capacitor made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad `s^(-1)`.

What is the rms value of the conduction current ?

Explanation

Here current in A.C. circuit,
`I_(rms)=(V_(rms))/(|Z|)`
`I_(rms)=(V_(rms))/(X_(C )) " "` (`because` Here only capacitor is connected and so `|Z|=X_(C )`)
`therefore I_(rms)=(V_(rms))/(((1)/(omega C)))=V_(rms)xx omega C(because X_(C )=(1)/(omega C))`
`therefore I_(rms)=(230)(300)(100xx10^(-12))`
`therefore I_(rms)=6.9xx10^(-6)A`