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An e.m.f. E=4cos(1000t)volt is applied t...

An e.m.f. `E=4cos(1000t)`volt is applied to an `LR` circuit of inductance `3mH` and resistance `4ohm`. The amplitude of current in the circuit is

A

`4sqrt(7)A`

B

`1.0A`

C

`(4)/(7)A`

D

`0.8A`

Text Solution

Verified by Experts

The correct Answer is:
4
`i_(0)=(v_(0))/(Z)`
`Z=sqrt(R^(4)+(omegaL)^(2))`
`sqrt(4^(2) +(1000 xx3 xx10^(-3))^(2))=5Omega`
`i_(0)=(4)/(5)`
`i_(0) = 0.8A`
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