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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.

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