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Q.

A circular loop of radius r is carrying current  I A. The ratio of magnetic field at the center of circular loop and at a distance r from the center of the loop on its axis is:

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a

1 : 32

b

1 : 2

c

32 : 2

d

22 : 1

answer is B.

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Detailed Solution

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At centre, B1=μ0i2r
On the axis, B2=μ0ir22r2+r23/2=μ0ir22×22⋅r3
=μ0i2×22r∴B1:B2=22:1

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