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Q.

A parallel plate capacitor of capacity 100pF is connected to 230V of AC supply of 300rad/s frequency. The value of displacement current is

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a

4.6μA

b

6.9μA

c

2.3μA

d

9.2μA

answer is A.

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Detailed Solution

Displacement current, 
ID=VZ=VXC  where Z is impedance and XC is capacitive reactance.

XC=1ωc                   
  ID=V1/ωc=V×ωc ID=230×300×100×1012 ID=69×107=6.9 μA

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A parallel plate capacitor of capacity 100pF is connected to 230V of AC supply of 300 rad/s frequency. The value of displacement current is