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JEE Main 20244 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
4 April
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2024 · 4 April · Morning Shift · Physics · Alternating Current

A alternating current at any instant is given by i=[6+ 56 (100 π...

A alternating current at any instant is given by i=[6+56sin⁡(100πt+π/3)]i=[6+\sqrt{56} \sin (100 \pi t+\pi / 3)] A. The rmsr m s value of the current is ________ A.

Correct answer

0

Step-by-step solution

IDNs=∫i2dt∫dtIDns=(6)2+(56)22=36+28=64=8 A\begin{aligned} & I_{D N s}=\sqrt{\frac{\int i^2 d t}{\int d t}} \\ & I_{D n s}=\sqrt{(6)^2+\frac{(\sqrt{56})^2}{2}} \\ & =\sqrt{36+28} \\ & =\sqrt{64} \\ & =8 \mathrm{~A}\end{aligned}
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