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Question: Answered & Verified by Expert
The instantaneous values of current and voltage in an AC circuit are given by $I=6 \sin \left(100 \pi t+\frac{\pi}{4}\right)$ and $V=5 \sin \left(100 \pi t-\frac{\pi}{4}\right)$, then
PhysicsAlternating CurrentMHT CETMHT CET 2022 (06 Aug Shift 2)
Options:
  • A voltage leads the current by $45^{\circ}$
  • B current leads the voltage by $45^{\circ}$
  • C voltage leads the current by $90^{\circ}$
  • D current leads the voltage by $90^{\circ}$
Solution:
2020 Upvotes Verified Answer
The correct answer is: current leads the voltage by $90^{\circ}$
The phase difference between instantaneous value of $I$ and $V$ is
$\Delta \phi=\frac{\pi}{4}-\left(-\frac{\pi}{4}\right)=\frac{\pi}{2}$
Hence, the current leads voltage by $90^{\circ}$

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