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In an AC circuit, the instantaneous val...

In an `AC` circuit, the instantaneous values of e.m.f and current are `e=200sin314t` volt and `i=sin(314t+(pi)/3)` ampere. The average power consumed in watt is

A

200

B

100

C

50

D

25

Text Solution

Verified by Experts

The correct Answer is:
C
`V_(rms)=(200)/(sqrt(2)),I_(rms)=(1)/(sqrt(2))`
`:. P=V_(rms) I_(rms) cos phi`
` =(200)/(sqrt(2))(1)/(sqrt(2)) cos""(pi)/(3)` =50W.
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