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Questions  

A current i is flowing in a hexagonal coil of side / [Fig.]. The magnetic induction at the centre of the coil will be

a
3μ0iπl
b
μ0i3πl
c
μ0i33πl
d
33μ0iπl

detailed solution

Correct option is A

See fig. Every angle of equilateral triangle is 60°Distance OG=3l/2 The magnetic induction at O is given byB=6×BAB∴ B=6×μ0i4π(3l/2)sin⁡30∘+sin⁡30∘=6μ0i4π(3l/2)×2sin⁡30∘=3μ0iπl

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