A uniform conducting wire is bent into a circular loop of radius R. A current I enters at one point

Question

A uniform conducting wire is bent into a circular loop of radius R. A current I enters at one point and leaves at another point on the circumference. What is the magnetic field at the centre of the loop?

Professor PC Thomas Classes · Answer

The current splits into two parallel arcs. The magnetic fields produced by the two arcs at the center are equal in magnitude and opposite in direction, resulting in a net magnetic field of zero.