Question

An equilateral triangular conducting loop of side L carries a current. The magnetic field at the point O(centroid) will be

Answer 1

Answer:

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Answer 2

The magnetic field at the point O (Centroid) of an equilateral triangular conducting loop of side L carrying a current is given below -

If l is the side of the triangle, the distance of circumcenter from each of the sides of the triangle is r = l√3/6

The magnetic induction due to each of the sides of the triangle carrying a current i is  μ₀i(Sin60° + Sin60°)/4πr

= μ₀6i/4πl

Since the direction of the magnetic field in each case is the same, three times this would be the total magnetic induction.  

Therefore total magnetic induction = μ₀18i/4πl.

• Magnetic induction is the phenomenon of the generation of electromotive force or e.m.f. in a conductor pertaining to the change in magnetic flux linked with it.
• A magnetic field is a vector field in the neighborhood of a magnet, electric current, or changing electric field in which magnetic forces are observable.
• A magnetic field is produced by moving electric charges and intrinsic magnetic moments of elementary particles associated with a fundamental quantum property known as spin.