Calculating propulsive and restoring electromagnetic forces between massive circular coils of rectangular cross section with inclined axes in air

Slobodan Babic Slobodan Babic,Levent Erdogan Levent Erdogan,Cevdet Akyel Cevdet Akyel

doi:10.30574/wjaets.2021.2.1.0032

Abstract

In this paper we give the new formulas for calculating the propulsive and the restoring electromagnetic forces between the loops in air whose centers are in the different axes. These new formulas are used to calculate the propulsive and the restoring forces between two inclined massive coils of rectangular cross section whose centers are in the different axes. The filament method is used. Results obtained by the presented approach are in remarkably good agreement with already published data. Electromagnetic forces can be used for various applications, it is very versatile; there are a plethora of ways to utilize electromagnetic forces and energy, from small scale uses e.g., microchips to larger scale and lifesaving uses e.g., radiotherapy.

Highlights

In electrical engineering the calculation of the magnetic forces acting on movable or immovable parts is of a great interest
In this paper we give the new formulas for calculating the propulsive and the restoring electromagnetic forces between the loops in air whose centers are in the different axes
These new formulas are used to calculate the propulsive and the restoring forces between two inclined massive coils of rectangular cross section whose centers are in the different axes

Summary

Introduction

In electrical engineering the calculation of the magnetic forces acting on movable or immovable parts is of a great interest. In this paper we presented the simple approach to calculate the magnetic force between two inclined massive coils of the rectangular cross section where we use the filament method, [12,13]. In [14], we calculated the mutual inductance between the thick circular coils of rectangular cross section with inclined axes (See Fig.2) using the filament method. Let us consider the system comprising two circular coils of rectangular cross section with N1, N2 turns, respectively The centers of these coils are on the different axes (Fig.). Using the same logic as in [12,13] the electromagnetic forces between two inclined circular coils of rectangular cross section (centers are in the different axes, Fig.1) can be obtained in the following form, Fpropulsive. In this paper we treat only regular and practical cases where coils do not overlap

Example 1

Example 2

Example 3

Conclusion