The present invention relates to cylindrical rotating electric machines which comprise armature and field coils, with either the field coil or the dual armature being the rotating component. The dual armature is composed of two concentric cylindrical sets of coils with the field coil situated in the gap between the inner and outer armature sections. Relative rotational motion between the field and armature coils can be achieved by having either one be the rotor. By using two armature coil sections, one inside the field coil aperture and the other external to the field coil, the flux linkage between the armature and superconducting field coil can be approximately doubled. This is a more efficient use of the superconductor. The increased flux linkage in the invented technology produces a substantially higher power density than can be obtained with current conventional superconducting machine technology.