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

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

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    Solution:

    1. Given  i=2sin100πt+2cos100πt+300
    The equation can be written as  i=2sin100πt+2sin100πt+1200
    So phase difference  ϕ=1200
    (Im)res=A12+A22+2A1A2cosϕ 
    A1=2;A2=2 .
    Irms=(Im)res2=4+4+2×2×2122=22=2  
    So effective value or rms value  2/2=2A
    Therefore, the correct answer is 1.41
     

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