The present disclosure provides an electrically gear turbofan that includes a fan; a first spool shaft; and an electrical gearbox including: an armature winding connected to the first spool shaft and coupled to a power source; and a magnetic receiver connected to the fan, and wherein an air gap is defined between the armature winding and the magnetic receiver. The turbines and electrical gearing enable an operator to rotate the spool shaft at a first rotational speed; power an armature winding to generate an armature magnetic field, wherein the armature magnetic field rotates at a second rotational speed; transfer rotational energy via the armature magnetic field from the spool shaft to the magnetic receiver; and rotate the fan at a third rotational speed. In some aspects, the third rotational speed is controlled via a direction and a magnitude of the second rotational speed relative to the first rotational speed.