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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

`10^(4)W`

B

`10W`

C

`2.5W`

D

`5W`

Text Solution

Verified by Experts

The correct Answer is:
C

`V_(0) = 100 V i_(0) = 100 mA = 100 xx 10^(-3) = 0.1 A phi = 60^(@)`
`P = (1)/(2) V_(0)i_(0) cos phi = (1)/(2) xx 100 xx 0.1 xx (1)/(2) = 2.5 W` .
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