The magnetic field in the axis of an elliptic loop current

Abstract

The calculation of the magnetic field produced by a loop current using the Biot-Savart law is a very typical exercise in introductory university physics. However, the cases studied are limited, in most textbooks, only the circular arrangement is treated. In this article, we calculate the magnetic field of an elliptical loop current along an axis that passes through its centre. This calculation uses physical concepts and mathematical techniques that would be accessible to an average freshman student.