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Question

An AC current is given by I=I0+I1sinωt then the rms value will be.

A
I20+0.5I21
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B
I20+0.5I20
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C
0
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D
I02
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Solution

The correct option is A I20+0.5I21
Given current is I=Io+I1sinwt
Rms current is given by Irms=ToI2dtT
Irms=To(I2o+I21sin2wt+2IoI1sinwt)dtT
Or Irms=I2oTodtT+I21Tosin2wtdtT+2IoI1TosinwtdtT
Using Tosin2wtT=0.5 and TosinwtT=0
We get Irms=I2oTT+I21×0.5+2IoI1×0
Irms=I2o+0.5I21

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