Comparative study between toroidal coordinates and the magnetic dipole field

Authors

  • E. Chávez-Alarcón
  • J.J.E. Herrera-Velázquez

Keywords:

Magnetostatics, toroidal coordinates, tokamak

Abstract

There is a similar behaviour between the toroidal coordinates and the dipole magnetic field produced by a circular loop. In this work we evaluate up to what extent the former can be used as a representation of the latter. While the tori in the toroidal coordinates have circular cross sections, those of the circular loop magnetic field are nearly elliptical ovoids, but they are very similar for large aspect ratios.The centres of the latter displace from the axis faster than the former. By making a comparison between tori of similar aspect ratios, we find quantitative criteria to evaluate the accuracy of the approximation.

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Published

2011-01-01

How to Cite

[1]
E. Chávez-Alarcón and J. Herrera-Velázquez, “Comparative study between toroidal coordinates and the magnetic dipole field”, Rev. Mex. Fis. E, vol. 57, no. 2 Jul-Dec, pp. 152–155, Jan. 2011.

Issue

Vol. 57 No. 2 Jul-Dec (2011): Revista Mexicana de Física E

Section

Artículos

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