Q.

A parallel plate of capacitor made of circular plates each of radius 20.0 cm has a capacitance 100pF. The capacitor is connected to a source of 220 V and angular frequency of  200 rad/s, the rms value of the displacement current is __________μA

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answer is 0004.40.

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Detailed Solution

Given : Erms=220V, ω=200rad/sCapacitance,  C=100pF=100×10−12FRms value of the displacement current is same as  conduction current =  Irms=ErmsXC⇒Irms=Erms1/ωC              ⇒ Irms=Erms×ωC =220×200×100×10−12=44×10−7=4.4×10−6         ⇒Irms=4.4μA
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