Version 1
: Received: 11 June 2024 / Approved: 11 June 2024 / Online: 11 June 2024 (18:20:38 CEST)
How to cite:
Babic, S.; Guven, E.; Song, K.-H.; Luo, Y. Calculation of Restoring and Repulsive Magnetic Forces between two Non-coaxial Coils of Rectangular Cross-Section with Parallel Axes. Preprints2024, 2024060737. https://doi.org/10.20944/preprints202406.0737.v1
Babic, S.; Guven, E.; Song, K.-H.; Luo, Y. Calculation of Restoring and Repulsive Magnetic Forces between two Non-coaxial Coils of Rectangular Cross-Section with Parallel Axes. Preprints 2024, 2024060737. https://doi.org/10.20944/preprints202406.0737.v1
Babic, S.; Guven, E.; Song, K.-H.; Luo, Y. Calculation of Restoring and Repulsive Magnetic Forces between two Non-coaxial Coils of Rectangular Cross-Section with Parallel Axes. Preprints2024, 2024060737. https://doi.org/10.20944/preprints202406.0737.v1
APA Style
Babic, S., Guven, E., Song, K. H., & Luo, Y. (2024). Calculation of Restoring and Repulsive Magnetic Forces between two Non-coaxial Coils of Rectangular Cross-Section with Parallel Axes. Preprints. https://doi.org/10.20944/preprints202406.0737.v1
Chicago/Turabian Style
Babic, S., Kai-Hong Song and Yao Luo. 2024 "Calculation of Restoring and Repulsive Magnetic Forces between two Non-coaxial Coils of Rectangular Cross-Section with Parallel Axes" Preprints. https://doi.org/10.20944/preprints202406.0737.v1
Abstract
In this paper, we introduce new formulas for calculating the restoring and repulsive magnetic forces between two non-coaxial circular loops with parallel axes. These formulas are derived from a modified version of Grover’s formula for mutual inductance between the coils in question. Utilizing these formulas, we compute the restoring and repulsive magnetic forces between two non-coaxial thick coils of rectangular cross-sections with parallel axes. In these calculations, we apply the filament method and conduct investigations to determine the optimal number of subdivisions for the coils in terms of computational time and accuracy. The method presented in this paper is also applicable to all conventional non-coaxial coils, such as disks, solenoids, and non-conventional coils like Bitter coils, all with parallel axes. This paper emphasizes the accuracy and computational efficiency of the calculations. Furthermore, the new method is validated according to several previously established methods
Keywords
Mutual inductance; restoring force; repulsive force; coils of rectangular cross-section with parallel axes
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
