A alternating current at any instant is given by i = [6+√(56) sin (100 π t +π/3 ) ] A. The rms value of the current is A.

Physics · Alternating Current

JEE Main 2024 — 4 April, Shift 1 — Question 52

A alternating current at any instant is given by $\mathrm{i}=\left[6+\sqrt{56} \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)\right]$ A. The rms value of the current

is $\qquad$ A.

Answer: 8

Numerical answer — enter this value.

Step-by-step solution

I_{r m s}=\sqrt{\frac{\int i^{2} d t}{\int d t}}$

$I_{\mathrm{rms}}=\sqrt{(6)^{2}+\frac{(\sqrt{56})^{2}}{2}}$

$=\sqrt{36+28}$

$=\sqrt{64}$

$=8 \mathrm{~A}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 4 April, Shift 1
Subject: Physics
Chapter: Alternating Current
Topic: Average, Peak and RMS value of Alternating Current and Voltage

In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source may be connected…

Answer: 8

Step-by-step solution

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