Q.

A Parallel plate condenser of capacity 100 pF is connected to 230 V of AC supply of 300 rad / sec frequency. The rms value of displacement current

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Detailed Solution

id =∈0dϕdt=ε0AddVdt=CdVdt=CddtV0 sinωtid =CωV0 cosωt=i0 cosωt    vrms =230 Virms =i02=CωV02                ∴vrms=V02 =100 x 10-12 x 300 x 23022=6.9 μA
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A Parallel plate condenser of capacity 100 pF is connected to 230 V of AC supply of 300 rad / sec frequency. The rms value of displacement current