Vector potential and magnetic field of current-carrying circular finite arc segment in analytical form. V. Polygon cross section

Author

Urankar, L.

Author_Institution

Siemens AG, Erlangen, West Germany

Volume

26

Issue

3

fYear

1990

fDate

5/1/1990 12:00:00 AM

Firstpage

1171

Lastpage

1180

Abstract

For pt.IV see ibid., vol.MAG-20, p.2145-50 (1984). Analytical expressions for the components of the vector potential and magnetic field of a circular-arc segment of a current-carrying conductor of polygonal cross section and arbitrary azimuthal length are derived. The expressions developed consists of known analytical functions such as Jacobian elliptic functions and complete and incomplete elliptic integrals of the first, second, and third kind, which permit the formulation of a time-saving efficient computation algorithm. An example of application is given. The case of a beam with polygonal cross-section carrying a longitudinal current is also examined

Keywords

magnetic fields; Jacobian elliptic functions; analytical form; arbitrary azimuthal length; computation algorithm; current-carrying circular finite arc segment; elliptic integrals; longitudinal current; magnetic field; polygonal cross section; vector potential; Azimuthal current; Coils; Conductors; Current density; Jacobian matrices; Laboratories; Magnetic analysis; Magnetic fields; Superconducting magnets; X-ray lithography;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.53995

Filename

53995