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Q.

A 100 μF capacitor is connected to a 100V, 50HZ AC Supply. The rms value of the current is

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a

3.14 A

b

4.75 A

c

2.33 A

d

5.5 A

answer is A.

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Detailed Solution

 Vrms=100V,f=50HZ,C=100×106F
XC=1wc=1100×106×2π×50=100πΩ
rms current Irms=VrmsXc=100100π=πA 
Irms=3.14 A

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