Magnetostatic interaction energy between a point magnet and a ring magnet
Niranjan Warnakulasooriya, Dinuka H. Gallaba, John Joseph Marchetta,, Duston Wetzel, Prachi Parashar, K. V. Shajesh
TL;DR
This paper derives an exact formula for the magnetostatic interaction energy between a point magnet and a ring magnet, revealing an equilibrium point and aiding studies in magnetic and Casimir levitation.
Contribution
It provides a novel closed-form expression for the interaction energy using elliptic integrals, useful for magnetic levitation research.
Findings
Identifies an equilibrium point near the ring magnet's axis.
Provides an exact mathematical expression for the interaction energy.
Facilitates future studies in magnetic and Casimir levitation.
Abstract
We find an exact closed-form expression for the magnetostatic interaction energy between a point magnet and a ring magnet in terms of complete elliptic integrals. The exact expression for the energy exhibits an equilibrium point close to the axis of symmetry of the ring magnet. Our methodology will be useful in investigations concerning magnetic levitation, and in the study of Casimir levitation.
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Taxonomy
TopicsSuperconducting Materials and Applications · Magnetic and Electromagnetic Effects · Magnetic Properties of Alloys