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A cument is passed in an equilateral triangle of side l and made of a uniform conducting wire as shown in fig. The magnetic induction at centre O will be

a
zero
b
3μ0i/2πl
c
33μ0i4πl
d
9μ0i4πl

detailed solution

Correct option is A

The current distribution is shown in fig. The magnetic induction at 0 is given byB=BAB+BBC+BAC=μ0(i/3)4π(l/23)+μ0(i/3)4π(l/23)−μ0(2i/3)4π(l/23)2sin⁡60∘=0

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