Forces between arrays of permanent magnets of basic geometric shapes

D. Vokoun, Marco Beleggia

    Research output: Contribution to journalJournal articleResearchpeer-review


    We provide formulas for evaluating the magnetic force between two permanent magnet arrays, regularly spaced over a square lattice. We focus on three basic shapes of magnets constituting the arrays: cylinder, sphere and rectangular prism. When the lattice parameter is large, the expressions can be used to calculate the force between two single magnets in a computationally efficient way. The calculations are validated experimentally by measuring the attraction force between two single permanent magnets, where we demonstrate a fair agreement within about 15%.
    Original languageEnglish
    JournalJournal of Magnetism and Magnetic Materials
    Pages (from-to)174-178
    Publication statusPublished - 2014


    • Magnetic materials
    • Magnetism
    • Permanent magnets


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