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A group of electric lamps having a total...

A group of electric lamps having a total power rating of `1000` watt is supplied by an `AC` voltage `E=200sin(310t+60^(@))`. Then the r.m.s value of the circuit current is

A

`10` amp

B

`10sqrt(2)`

C

`20` amp

D

`20sqrt(2)` amp

Text Solution

Verified by Experts

The correct Answer is:
B
Power `=E_(0)I_(0) cos theta`
or `1000=(2000xxI_(0)//2)cos 60^(@)`
Solving, we get: `I_(0)=20` amp
`:. I_(rms)=20/(sqrt(2))=10sqrt(2)` amp
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