A rotational apparatus with one or more passive magnetic bearing(s) is described. The rotational apparatus includes a rotor with a tapered magnetic ring and a stator with a tapered array of shorted conducting circuits. A repulsive force between the tapered magnetic ring and the tapered array of shorted conducting circuits acts a passive magnetic bearing that centers the rotor radially in a stator cavity and that repels the rotor axially away from an end of the stator cavity.