Calculation of the Magnetic Forces Between Planar Spiral Coils using Concentric Rings

摘要

In this paper, the forces between current carrying planar spiral coils are calculated. In order to facilitate the calculation process, the coils have been replaced by concentric rings and using first and second order complete elliptic integrals, the forces between them have been calculated. The comparison of the calculations resulting from the replaced rings method and the direct method shows that the former is more effective in both simplicity and calculation time. To evaluate the precision of the calculations, planar spiral coils have been constructed and tested. The experimental results validate the results of the calculations.