1.

Find the rms value of current `i=I_(m)sin omegat` from `(i) t=0 "to" t=(pi)/(omega)` (ii) `t=(pi)/(2omega) "to" t=(3pi)/(2omega)`

Answer» `i_(rms) =sqrt((underset((pi)/(2omega))overset((pi)/(omega))int I_(m)^(2) sin omegatdt)/((2pi)/(omega)))= sqrt((i_(m)^(2))/(2))=(I_(m))/(sqrt2)`
`(ii) i=sqrt((underset((pi)/(2omega))overset((3pi)/(2omega))int I_(m)^(2) sin omegatdt)/((pi)/(omega)))= sqrt((I_(m)^(2))/(2))=(I_(m))/(sqrt2)`


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