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The potential differences V and the curr...

The potential differences `V` and the current `i` flowing through an instrument in an `AC` circuit of frequency `f` are given by `V=5 cos omega t` and `I=2 sin omega t` amperes (where `omega=2 pi f`). The power dissipated in the instrument is

A

zero

B

10 watt

C

5 watt

D

2.5 watt

Text Solution

Verified by Experts

The correct Answer is:
1
As` V=5 cos (2 pift)=5 sin (2 pift + pi//2)`
And I=2 sin (2 pift)therefore
phase difference between V and Iis`phi =(pi)/(2)`
Average power` P = V_(rms)I_(rms)xx cosphi = 0`
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