The repulsive force between identical right-circular-cylindrical permanent magnets is calculated, and the ratio of this force to the weight of a magnet is maximized through optimization of magnet size and shape. It is assumed that the magnets are uniformly magnetized along their axes. For magnets of thicknesstand radiusR, separated by a distance2h, the optimum dimensions areR = 3.45handt = 2.7h. For these dimensions, the repulsive magnetic force has the value2.65 μ₀M²h²newtons, with the magnetizationMin At/m andhin meters.
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Cooper et al. (1973) studied this question.
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