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In an AC circuit the instantaneous value...

In an AC circuit the instantaneous values of emf and current are
`e=200sin30t` volt and `i=2sin(300t+(pi)/(3))` amp The average power consumed (in watts) is

A

200

B

100

C

50

D

400

Text Solution

Verified by Experts

The correct Answer is:
B
The average power consumed in an AC circuit is given by
`P=(V_(0)l_(0))/(2)cosphi`
where, `phi` is phase angle and `V_(0) and l_(0)` the peak value of voltage and current.
Given, `V_(0)=200V,l_(0)=2A,phi=(pi)/(3)`.
`P=(200xx2)/(2)"cos"(pi)/(3)=(200xx2)/(2)xx(1)/(2)=100W`
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