JEE Main 2017PhysicsElectromagnetic InductionMediumMCQ

JEE Main 2017 — Electromagnetic Induction Question with Solution

JEE Main 2017 (08 Apr Online)

Question

A small circular loop of wire of radius a  is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I=I0cos⁡ωt. The emf induced in the smaller inner loop is nearly:

Choose an option

Show full solutionCorrect option: D
Correct answer
Dπμ0 I02 .a2bωsin⁡ωt

Step-by-step explanation

Induced emf,

ε=MdIdt,

Current is given as, I=I0cosωt 

M=μ0πa22b, ε=-Mddt (I0cosωt)

c=M ωI0 sinωt

=μ0πa22bω I0sin⁡ ωt

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About this question

This is a previous-year question from JEE Main 2017, 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.