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An A.C voltage V = 5 cos (1000t) V is ap...

An A.C voltage V = 5 cos (1000t) V is applied to a L-R series circuit of inductance 3 mH and resistance `4 Omega`. The value of maximum current in the circuit is _____ A.

A

`0.8`

B

`1.0`

C

`5/7`

D

`5/(sqrt7)`

Text Solution

Verified by Experts

The correct Answer is:
B
V = 5 cos 1000t volt
`V = V_0 cos omegat`
`V_0=5` volt `omega=1000` rad/s
`L = 3 xx 10^(-3) H, R=4 Omega`
Maximum current `10=(V_0)/Z`
`10=5/(sqrt(omega^2L^2+R^2))=5/5=1A`
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