JEE Main 2016PhysicsMagnetic Effects of CurrentEasyMCQ

JEE Main 2016 — Magnetic Effects of Current Question with Solution

JEE Main 2016 (03 Apr)

Question

Two identical wires A and B, each of length l, carry the same current I . Wire A is bent into a circle of radius R and wire B is bent to form a square of side a. If BA and BB are the values of magnetic field at the centres of the circle and square respectively, then the ratio BABB is

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Show full solutionCorrect option: B
Correct answer
Bπ282

Step-by-step explanation

As length of both the wires is same, 2πR=4a

⇒aR=2π4

⇒aR=π2

BA=μ0i2R and 

BB=μ0iπa22

Therefore, ratio will be BABB=μ0i2R×πa22 μ0i

=πa42R=π42π2=π282

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About this question

This is a previous-year question from JEE Main 2016, covering the Magnetic Effects of Current 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.