Magnetic field and forces in a pair of parallel conductors

Article type: Research Article

Authors: Coufal, Oldřich^* | Radil, Lukáš | Toman, Petr

Affiliations: Brno University of Technology, Technická 3082/12, 616 00 Brno, Czech Republic

Correspondence: [*] Corresponding author: Oldřich Coufal, Brno University of Technology, Technická 3082/12, 616 00 Brno, Czech Republic. E-mail: [email protected].

Abstract: The article provides a comprehensive idea of the calculating the magnetic field and forces in a pair of parallel solid conductors. The conductors are connected to a sinusoidal voltage source of a frequency that does not exceed 1 MHz. Thus the current density over the conductor cross sections is not constant. Its distribution depends on the distance of the conductors and their resistivity, on the shape of conductor cross sections, and on the voltage source frequency. The distribution of current density over the conductor cross sections affects not only the magnetic field produced by the conductors but also the forces acting on the conductors. For the acting forces, general conclusions are derived that hold for conductors of arbitrary shape of cross section. Specifically, pairs of conductors of rectangular, circular and triangular cross section are examined.

Keywords: Applied classical electromagnetism, magnetic induction, dynamics of rigid bodies, forces and toques, numerical simulation

DOI: 10.3233/JAE-170077

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 56, no. 2, pp. 243-261, 2018