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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

`4 sqrt(7) A `

B

`1.0 A`

C

`4/7 A `

D

`0.8 A`

Text Solution

Verified by Experts

The correct Answer is:
D

`i_0 = (v_0)/(Z ) `
` Z= sqrt(R^2 +(omegaL)^2)`
` = sqrt(4^2 +(1000 xx 3 xx 10^(-3))^2)= 5 Omega `
` i_0 = 4/5`
`i_0 = 0.8 A`
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