A current of i ampere is flowing in an equila | vedclass

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Question

(d)

$O$ is centroid and using the $	riangle O A D$ distance $O D=\frac{a}{2 \sqrt{3}}$

By all the three sides $AB , BC$ and $CA$, direction of

Vedclass · Accepted Answer

$\frac{9 \mu_0 i}{2 \pi a}$

Vedclass · Answer

(d)

$O$ is centroid and using the $	riangle O A D$ distance $O D=\frac{a}{2 \sqrt{3}}$

By all the three sides $AB , BC$ and $CA$, direction of magnetic field produced will be same and inward to the plane of paper

So $B_{	ext {total }}=3\left[\frac{\mu_0 i}{4 \pi\left(\frac{a}{2 \sqrt{3}}ight)}\left(\sin 60^{\circ}+\sin 60^{\circ}ight)ight]=\frac{9 \mu_0 i}{2 \pi a}$

A current of $i$ ampere is flowing in an equilateral triangle of side $a$. The magnetic induction at the centroid will be

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