Question

a current of 1 A is flowing on the sicde of an eqilateral triangle find magnetic feild

Answer 1

please use right hand thumb rule

Answer 2

Given

length of each side of the triangle=a
The magnitude of the magnetic induction produced by one of the sides of the triangle at centroid is given by
 given
 by B =μ0i4πR(sinϕ1+sinϕ2)

R=Perpendicular distance of side from centroidWhere, ϕ1 and ϕ2 are the positive values of angles made at centre of triangle.

 ϕ1= ϕ2=600

R=a2cot600=a23√Since magnetic induction produced by all the the all the three sides are same

=3×μ0i4πR(sin600 +sin600)
=3×μ0i×23√4πa(3√2+3√2)
=3×μ0i×23√×23√2×4πa
=3×μ0i×4×38πa=18μ0i4πa=9μ0i2πa