JEE Main 2022PhysicsElectromagnetic InductionEasyNumerical

JEE Main 2022Electromagnetic Induction Question with Solution

JEE Main 2022 (26 Jul Shift 2)

Question

In a coil of resistance 8 Ω, the magnetic flux due to an external magnetic field varies with time as ϕ=239-t2. The value of total heat produced in the coil, till the flux becomes zero, will be _____ J.

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

It is given that magnetic flux ϕ=239-t2

For magnetic flux to be zero 0=239-t2t=3 s

According to Faraday's law of electromagnetic induction,

ε=-dϕdt=-230-2t=4t3

Heat produced from 0 to 3 s,

H=03ε2Rdt=0316t29×8dt=2 J

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About this question

This is a previous-year question from JEE Main 2022, covering the Electromagnetic Induction chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.