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Question: Answered & Verified by Expert
An alternating voltage $\mathrm{V}=\mathrm{V}_{0} \sin \omega \mathrm{t}$ is applied across a circuit. As a result, a current $\mathrm{I}=\mathrm{I}_{0} \sin \left(\omega \mathrm{t}-\frac{\pi}{2}\right)$ flows in it. The power consumed per cycle is
PhysicsAlternating CurrentBITSATBITSAT 2021
Options:
  • A zero
  • B $0.5 \mathrm{~V}_{0} \mathrm{I}_{0}$
  • C $0.707 \mathrm{~V}_{0} \mathrm{I}_{0}$
  • D $1.414 \mathrm{~V}_{0} \mathrm{I}_{0}$
Solution:
1424 Upvotes Verified Answer
The correct answer is: zero
The phase angle between voltage $V$ and current $I$ is $\frac{\pi}{2}$.

Therefore, power factor $\cos \phi=\cos \left(\frac{\pi}{2}\right)=0$.

Hence the power consumed is zero.

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