JEE Main 2019PhysicsMagnetic Effects of CurrentEasyMCQ

JEE Main 2019Magnetic Effects of Current Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the centre of the loop BL to that at the centre of the coil BC, i.e. BLBC will be

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Show full solutionCorrect option: A
Correct answer
A1N2

Step-by-step explanation

For a single loop, radius

r1=L2π

BL=μ0I2r1=μ0I2L×2π  ...(1)

For a circular coil, radius

r2=L2πN

Bc=μ0IN2r2=μ0IN2L2πN  ...(2)

BLBC=1N2             (from eqns (1) and (2))

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About this question

This is a previous-year question from JEE Main 2019, 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.