A alternating current at any instant is given by i = [ 6 + 56 sin ( 100 π t + π /3 )] A. The r m s value of the current is ________ A.

Question

A alternating current at any instant is given by i = [ 6 + 56 ​ sin ( 100 π t + π /3 )] A. The r m s value of the current is ________ A.

TestHub · Accepted Answer

​ I D N s ​ = ∫ d t ∫ i 2 d t ​ ​ I D n s ​ = ( 6 ) 2 + 2 ( 56 ​ ) 2 ​ ​ = 36 + 28 ​ = 64 ​ = 8 A ​

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