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Question

Physics Question on Displacement current

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

A

5 pF

B

50 pF

C

100 pF

D

200 pF

Answer

50 pF

Explanation

Solution

Current in capacitor I=VX\frac{V}{X}C
I=(V)×(ωC)
C=IVω\frac{I}{V\omega}=6.9×106230×600\frac{6.9×10^{−6}}{230×600}
=50 pF