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Find the effective value of current. i...

Find the effective value of current.
`i=2 sin 100 (pi)t + 2 cos (100 pi t + 30^(@))`.

Text Solution

Verified by Experts

The equation can be written as `I = 2 sin 1000 pit +2 sin (100 pit+90^(@))`.
so phase difference `phi=120^(@)`
`I_(m))_(res)=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)costheta)`
`=sqrt(4+4+2xx2xx2(-1/2))=2`so effective value or `rms` value =`2//sqrt2=sqrt2A`
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