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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 = sin (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
Average power `P_(ev) = E_(v) I_(v) cos phi`
`(E_(0))/(sqrt2) . (I_(0))/(sqrt2) cos phi = (100V)/(sqrt2) xx (100 xx 10^(-3)A)/(sqrt2) "cos"(pi)/(3)`
`= (100 xx 100)/(2) xx 10^(-3) xx (1)/(2) = 2.5` W
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