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A circuit consists of a resistance 10 oh...

A circuit consists of a resistance 10 ohm and a capacitance of `0.1 mu F` If an alternating e.m.f. of 100 V. 50 Hz is applied, calculate the current in the circuit.

A

`3.14 mA`

B

`6.28 mA`

C

`1.51 mA`

D

`7.36 mA`

Text Solution

Verified by Experts

The correct Answer is:
A
`X_(C )=(1)/(2pi upsilon C)=(1)/(2xx3.14xx50xx0.1xx10^(-6))`
`=3.2xx10^(4)Omega`
`Z=sqrt(R^(2)+X_(C )^(2))=sqrt(100+10.28xx10^(8))=3.2xx10^(4)Omega`
`I_("rms")=(epsilon_("rms"))/(Z)=(100)/(3.2xx10^(4))=3.14xx10^(-3)A=3.14 mA`
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