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Q.

A straight wire of length (π2) meter is carrying a current of 2A and the magnetic field due to it is measured at a point distant 1 cm from it. If the wire is to be bent into a circle and is to carry the same current as before, the ratio of the magnetic field at its centre to that obtained in the first case would be

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a

50:1

b

1:50

c

100:1

d

1:100

answer is B.

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Detailed Solution

B=μ0i2πr

=2×107×21×102=4×105T

B2=μ0i2r=4π×107×22×π/2=8×107T

B2B1=8×1074×105=2100=150

B2:B1=1:50

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