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In a circuit, the instantaneous values o...

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 is

A

`(sqrt3)/(4)`

B

`(1)/(2)`

C

`(1)/(8)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P=V_("rms")I_("rms")cos phi`
`=((1)/(2))((1)/(2))cos((pi)/(3))=(1)/(8)`
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