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An alternating current is given by the e...

An alternating current is given by the equation `i=i_1sinomegat+i_2cosomegat`. The rms current will be

A

`1/sqrt2(i_1+i_2)`

B

`1/sqrt2(i_1^2+i_2^2)^(1/2)`

C

`1/sqrt2(i_1+i_2)^2`

D

`1/2(i_1^2+i_2^2)^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`i=i_1sinomegat+i_2sin(omegat+90)`
`i=sqrt(i_1^2+i_2^2)sin(omegat+phi)`
`i_(rms)=i_0/sqrt2=(sqrt(i_1^2+i_2^2))/(sqrt2)`
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