Magnetic field due to a finite current carrying disk considering a vari able current density along its radial dimension

Article type: Research Article

Authors: Flórez, Guillermo A. Díaz^{a; *} | Mombello, Enrique Esteban^a

Affiliations: [a] Instituto de Energía Eléctrica, Universidad Nacional de San Juan, San Juan, Argentina

Correspondence: [*] Corresponding author: Guillermo A. Díaz Flórez, Instituto de Energía Eléctrica (IEE), Universidad Nacional de San Juan (UNSJ), Av. Libertador San Martín 1109 (Oeste), San Juan, P.C. J5400ARL, Argentina. Tel.: +54 644 226 444, Int. 245; E-mail: [email protected]

Abstract: This paper proposes a fast and accurate methodology to calculate the magnetic field produced by a finite disk considering a linear variation of the current density between the inner and the outer radius. The mathematical expressions have been developed with the aim of reducing the computational effort, while ensuring accurate and reliable results. Additionally, the strategies presented in this work provide expressions which are free of singularities.

Keywords: Finite disk, Biot-Savart law, quadrature, magnetic field

DOI: 10.3233/JAE-131650

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 42, no. 1, pp. 119-136, 2013