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When a voltage V(s)=200 sqrt(2) sin (100...

When a voltage `V_(s)=200 sqrt(2) sin (100 t) V` is applied to an ac circuit the current in the circuit is found to be `i=2 sin [omega t + (pi//4)]A`. Find the average power consumed in the circuit.

Text Solution

Verified by Experts

The correct Answer is:
`100 sqrt(6) W`
`P_(av) =v_(rms)I_(rms) cos phi`
`=(200 sqrt(2))/(sqrt(2)) (2)/(sqrt(2)) cos (30^@) =100 sqrt(6) W`.
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