1.

In a circuit, the instantaneous values of alternating current and voltages in a circuit is given by `I = (1)/(sqrt2) sin (100 pi t) A` and `E = (1)/(sqrt2) sin (100 pi t + (pi)/(3)) V`. The average power in watts consumed in the circui isA. `(sqrt3)/(4)`B. `(1)/(2)`C. `(1)/(8)`D. `(1)/(4)`

Answer» Correct Answer - C
`P=V_("rms")I_("rms")cos phi`
`=((1)/(2))((1)/(2))cos((pi)/(3))=(1)/(8)`


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