Question

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

Answer 1

Correct Answer - 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.