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In an AC circuit, V and I are given by V...

In an `AC` circuit, `V` and `I` are given by `V=100sin(100t)volts, I=100sin(100t+(pi)/3)mA`. The power dissipated in circuit is

A

100 W

B

10 W

C

5 W

D

2.5 W

Text Solution

Verified by Experts

The correct Answer is:
D
Average power, `P_(av) = E_("rms")I_("rms") cos phi`
`=E_(0)/sqrt(2) .I_(0)/sqrt(2) cos phi = (100V)/sqrt(2) xx (100 xx 10^(-3)A)/sqrt(2)cos (pi/3)`
`=(100 xx 100)/2 xx 10^(-3) xx 1/2 = 2.5` W
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