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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.

A

200 watt

B

`400sqrt2 watt`

C

`100sqrt6 watt`

D

`200sqrt2watt`

Text Solution

Verified by Experts

`P_("av")=V_("rms") I_("rms") cos theta=(200sqrt2)/(sqrt2).(2)/(sqrt2)cos (30^(@))=100sqrt6 "watt"`
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