The invention relates to an electromagnetic frictionally engaged clutch (1) provided with a rotor part (4) comprising a friction lining (2). An electrical coil (6) and a first permanent magnet (14) are arranged on the rotor part (4). Said clutch also comprises an armature disk (10) which is connected to a second shaft (9) and can be displaced in a rotationally fixed manner, but axially from a coupled end position to an uncoupled end position. The aim of the invention is to enable the coil (6) of the clutch (1) to be current-free both in the coupled state and in the uncoupled state. To this end, means (15; 20) are provided for exerting an axial force opposing the magnetic force of the first permanent magnet (14) on the armature disk (10). The first permanent magnet (14) and the means (15; 20) are selected in such a way that the resulting force exerted on the armature disk by the permanent magnets and the means presses the armature disk (10) against the friction lining (2) of the rotor part (4) when a current is not passing through the coil (6), when the armature disk (10) is in the coupled end position thereof and when the armature disk (10) presses against an abutment (19) at an axial distance from the friction lining (2) of the rotor part (4) when it is in the uncoupled end position thereof. The electrical coil (6) can be supplied with a coil in such a way that the magnetic field thus produced displaces the armature disk (10), according to the direction of the current, into the coupled or uncoupled end position thereof.