Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
In an a. c. circuit the instantaneous current and e.m.f. are represented as $i=i_o \sin \left(\omega t-\frac{\pi}{6}\right)$ and $E=E_o \sin \left(\omega t+\frac{\pi}{3}\right)$ respectively. The voltage leads the current by
PhysicsAlternating CurrentMHT CETMHT CET 2022 (07 Aug Shift 2)
Options:
  • A $\frac{\pi}{2}$
  • B $\frac{\pi}{4}$
  • C $\frac{\pi}{3}$
  • D $\frac{\pi}{6}$
Solution:
1728 Upvotes Verified Answer
The correct answer is: $\frac{\pi}{2}$
The phase of the current $=-\frac{\pi}{6}$
The phase of voltage $=+\frac{\pi}{3}$
Hence the voltage leads current by phase angle
$\phi=\left(\frac{\pi}{6}\right)-\left(-\frac{\pi}{3}\right)=\frac{\pi}{2}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.