If a thin uniform wire of length `1m` is bent into an equilateral triangle and crries a current of `sqrt(2)A` in anticlockwise direction, find the net magnetic induction at the centroid

Explanation

`B_(n et)=3B_(eachsi de),`
`B_(n et)=2(mu_(0))/(4pi)xx(I)/(r)(sin60^(@)+sin60^(@))`

`( :'r=(a)/(2sqrt(3)))=3xx(mu_(0))/(4pi)(I)/(r)(2sin60^(@))`
`=3xx(mu_(0))/(4pi)(I(2sqrt(3)))/(a)2xx(sqrt(3))/(2)=18(mu_(0))/(4pi)(I)/(a)`
`B=18xx10^(-7)xx(sqrt(3))/(1//3)=54sqrt(3)xx10^(-7)T`