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Question: Answered & Verified by Expert
An alternating current is given by the equation $i=i_1 \cos \omega t+i_2 \sin \omega t$. The r.m.s. current is given by
PhysicsAlternating CurrentJEE Main
Options:
  • A $\frac{1}{\sqrt{2}}\left(i_1+i_2\right)$
  • B $\frac{1}{\sqrt{2}}\left(i_i+i_2\right)^2$
  • C $\frac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1 / 2}$
  • D $\frac{1}{2}\left(i_1^2+i_2^2\right)^{1 / 2}$
Solution:
2959 Upvotes Verified Answer
The correct answer is: $\frac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1 / 2}$
$i_{r m s}=\sqrt{\frac{i_1^2+i_2^2}{2}}=\frac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1 / 2}$

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