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  4. The rms value of conduction current in a parallel plate capacitor is 6.9 μ A. The capacity of this capacitor, if it is connected to 230 V ac supply with an angular frequency of 600 rad / s, will be :

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Q. The rms value of conduction current in a parallel plate capacitor is $6.9\, \mu A$. The capacity of this capacitor, if it is connected to $230 \, V$ ac supply with an angular frequency of $600\, rad / s$, will be :

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Solution:

Current in capacitor $I =\frac{ V }{ X _{ C }}$
$ I =( V ) \times(\omega C )$
$ C =\frac{ I }{ V \omega}=\frac{6.9 \times 10^{-6}}{230 \times 600}=50 \,pF$