Abstract: A linear VR motor or actuator having band coils is provided. The VR actuator includes a first core dimensioned as either a single ‘E’ or a double ‘E’. Each center protruding bar may be capped with a permanent magnet made of a Ferro-magnetic material or ceramic magnetic material for preloading the actuator, which is advantageous from controllability point of view, and enables the actuator to counteract gravitational load without nominal current through the wires. The first core is also formed of a Ferro magnetic material. The spaces between the protruding bars are filled with band coils arranged parallel to the protruding bars and electrically conductive. An I-core of Ferro-magnetic material is positioned perpendicular to the protruding bars. A current induced in the band coils controllably amplifies or negates a magnetic flux produced by the permanent magnets. Different shapes (e.g. circular shapes) for the I-core (e.g. being part of a circular axis) and the opposite part of the E-core may be used.