Abstract: Using the superposition principle of the magnetic field and the theoretical method of elliptic integrals as well as symmetry of the ellipse, we obtain the distribution of magnetic field in the central axis line generated by an elliptic electric current. We discuss systematically and intensively the effects of the elliptic flattening on the mag- netic field distribution in central axis line. The important properties which the elliptic flattening makes the distribu- tion of magnetic field intensity in the central axis show a maximum structure are revealed.

Key words: elliptic electric current, elliptic flattening, central axis, magnetic field distribution, elliptic integrals