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A sinusoidal current is represented by t...

A sinusoidal current is represented by the equation `I=2sin100pit`. Calculate
RMS value

Text Solution

Verified by Experts

Given, `I=2sin100pit" "...(1)`
This equation is of the form `I=I_(0)sinomegat" "...(2)`
Comparing equations (1) and (2), we note that
Peak value `I_(0)=2Aand2pif=100pi`
i.e., `f=50Hz`
RMS value = `I_(rms)=(I_(0))/(sqrt(2))=(2)/(sqrt(2))=1.414A`
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