The rms value of alternating current i=2sin100πt+2cos100πt+300 is (in ampere)

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answer is 0001.41.

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Detailed Solution

1. Given i=2sin100πt+2cos100πt+300The equation can be written as i=2sin100πt+2sin100πt+1200So phase difference ϕ=1200(Im)res=A12+A22+2A1A2cosϕ A1=2; A2=2 .Irms= (Im)res2=4+4+2×2×2−122=22=2 So effective value or rms value 2/2=2ATherefore, the correct answer is 1.41

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