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 thickness

and radius

, separated by a distance

, the optimum dimensions are

and

. For these dimensions, the repulsive magnetic force has the value

newtons, with the magnetization

in At/m and

in meters.