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Q.

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

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a

zero

b

3μ0i/2πl

c

33μ0i4πl

d

9μ0i4πl

answer is A.

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Detailed Solution

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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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