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In LCR series circuit , an alternating e...

In LCR series circuit , an alternating emf e and current `i` are given by the equations `e = 100sin (100 t) ` volt .
`i=100 sin (100 t + (pi)/(3))` mA
The average power dissipated in the circuit will be

A

100 W

B

10 W

C

5 W

D

2.5 W

Text Solution

Verified by Experts

The correct Answer is:
D
`overline(P)=(e_(0)I_(0))/(2)cosphi`
`=(100xx100xx10^(-3))/(2)"cos"(pi)/(3)`
`=(10)/(3)xx(1)/(2)=(10)/(4)`
=2.5 W.
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