Abstract: Magnetically-assisted mechanical gear systems and other power transmission systems, and related methods of operation and assembly, are disclosed herein. In an example embodiment, such a system includes a driving gear, a driven gear, and a first magnetomotive force (MMF) source that generates a magnetic flux. A first portion of the flux is communicated between at least one driving gear teeth and at least one driven gear teeth so that one or more magnetic forces are exerted between the gears. When the first rotational movement of the driving gear alternates from being in the first rotational direction to being in a third rotational direction opposite the first rotational direction, then the driven gear is driven by the one or more magnetic forces so that the second rotational movement also alternates, and a first amount of backlash movement between the driving and driven gears is avoided or reduced.