Vector potential and magnetic field of current-carying finite arc segment in analytical form, part II: Thin sheet approximation
- 1 May 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 18 (3) , 911-917
- https://doi.org/10.1109/tmag.1982.1061927
Abstract
Analytical expressions for the components of the vector potential and magnetic field of a thin circular conic cylinder segment of arbitrary azimuthal and axial length, and carrying a constant peripheral current are derived. All the expressions developed consist of known functions such as Jacobian elliptic functions, and complete and incomplete elliptic integrals of the first, second, and third kind and thus permit a new time-saving efficient computation algorithm.Keywords
This publication has 4 references indexed in Scilit:
- Vector potential and magnetic field of current-carrying finite arc segment in analytical form, Part I: Filament approximationIEEE Transactions on Magnetics, 1980
- Magnetic Field CalculationsPublished by Springer Nature ,1973
- Handbook of Elliptic Integrals for Engineers and ScientistsPublished by Springer Nature ,1971
- Numerical calculation of elliptic integrals and elliptic functionsNumerische Mathematik, 1965