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In an ac circuit alternating voltage E=2...

In an ac circuit alternating voltage E=`200sqrt2` sin 100t volt is connected to a capacitor of capacity`1muF`. The rms value of the current in the circuit is

A

10 mA

B

100 mA

C

200 mA

D

20 mA

Text Solution

Verified by Experts

The correct Answer is:
D
From the given equation, we may write
`E_0=200sqrt2V`and `omega=100rad//s`
`X_C=1/(omegaC)=1/(100times(1times10^-6))=10^4Omega`
`thereforeI_(rms)=E_(rms)/X_C=sqrt2/X_C=sqrt2/10^4=20 mA`
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