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A group of electric lamps having total p...

A group of electric lamps having total power rating of 900 watt is supplied an a.c. voltage `E = 200 cos (314 t + 60^(@))`. Find rms value of alternating current.

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Here, `P_(av) = 900 W`
`E = 200 cos (314 t + 60^(@)) = E_(0) cos (omega t + phi)`
`:. E_(0) = 200` volt, `omega = 314, phi = 60^(@)`
As `P_(av) = E_(v) I_(v) cos phi`
`:. 900 = (200)/(sqrt2) I_(v) cos 60^(@) = (200)/(sqrt2) I_(v) xx (1)/(2)`
`I_(v) = (900 sqrt 2)/(100) = 9 xx 1.414 = 12.726 A`
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