If a thin uniform wire of length 1m is bent into an equilateral triangle and carries a current of `sqrt3A` in anticlockwise direction, find the net magnetic induction at the centroid

Explanation

`B_("net")=3B_("each side")`
`B_("net")=3(mu_(0))/(4pi)xxI/r(sin60^(@)+sin60^(@))`
`(becauser=a/(2sqrt3))`
`=3xx(mu_(0))/(4pi)I/r(2sin60^(@))=3xx(mu_(0))/(4pi)(I(2sqrt3))/a2xx(sqrt3)/2=18(mu_(0))/(4pi)I/a`
`B=18xx10^(-7)xx(sqrt3)/(1/3)=54sqrt3xx10^(-7)T`