Electromagnetic actuator having improved force density and use therof for an electric razor

An electromagnetic actuator comprising at least a stator unit and a magnetic portion, with the stator unit having N poles having the width LP, and at least one coil surrounding one of the poles, wherein N≧3, and the magnetic portion being movable, relative to the stator unit, in a direction of relative movement and over a course of travel C, and including N+1 magnetized areas, the magnetizations of which are perpendicular to the direction of relative movement and in alternate directions, the magnetic portion further comprises a yoke contiguous to the magnetized areas and closing off the magnetic fluxes passing through the magnetized areas, the course of travel C of the magnetic portion being less than or equal to the width LP of each pole of the stator unit, and the thickness of the magnetized areas perpendicular to the direction of movement being less than the course of travel C of the magnetic portion.