Magnetic Field Distribution Generated by an Elliptic Electric Current

Abstract

Because of the change in the diameter of the elliptic current, the magnetic field distribution of its arbitrary spatial position cannot be transformed into an elliptic integral problem. It is very difficult or even impossible to solve this problem by analytical method. Intensity distributions of the magnetic field excited by an elliptic electric current are studied. The magnetic field intensity of the central axis is discussed using analytical and numerical simulation methods. The results obtained by the two methods are in good agreement. Application of numerical simulation method in rectangular coordinate system, spatial distributions of the magnetic field of an elliptic electric current is displayed intuitively, the effect of flattening of ellipse on the spatial magnetic field distribution is analyzed, and the characteristics of spatial magnetic field distribution of elliptic electric current are revealed further.