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
The instantaneous value of an $\mathrm{AC}$ is given by $I=5 \sin (\omega t+\phi)$ amp. The rms value of current is
PhysicsAlternating CurrentMHT CETMHT CET 2012
Options:
  • A $5 \mathrm{~A}$
  • B $\frac{5}{\sqrt{2}} \mathrm{~A}$
  • C $5 \sqrt{2} \mathrm{~A}$
  • D $2.5 \mathrm{~A}$
Solution:
2039 Upvotes Verified Answer
The correct answer is: $\frac{5}{\sqrt{2}} \mathrm{~A}$
We know that, $I_{\mathrm{rms}}=\frac{I_{0}}{\sqrt{2}}$
In the given equation, peak value of current $\left(I_{0}\right)=5$
$I_{\mathrm{rms}}=\frac{5}{\sqrt{2}} \mathrm{~A}$

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.