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In an ac circuit, the instantaneous emf ...

In an ac circuit, the instantaneous emf and current are given by `e=100sin30t,i=20sin(30t-pi/4)`.
In one cycle of ac, the average power consumed by the circuit and the wattless current are, respectively

A

`50/sqrt2,0`

B

`50,0`

C

50,10

D

`1000/sqrt2,10`

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(avg)=e_(rms)i_(rms)cosphi=100/sqrt2times20/sqrt2times1/sqrt2[becausephi=pi/4]`
`1000/sqrt2`
The wattless current , `i=i_(rms)cosphi=20/sqrt2times1/sqrt2=10`
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