A portable apparatus for generating an induced low-frequency sinusoidal electric current in an area of the human body, comprises four angular magnet sectors inscribed within the same circle, centered on the same axis of rotation and spaced angularly apart from one another, the polarity of two adjacent angular magnet sectors being opposed, and means for rotating at a predetermined speed the angular magnet sectors about the axis of rotation such as to generate an induced sinusoidal current at a predefined frequency. Each angular magnet sector comprises one and the same geometrical shape with an internal angular opening of 90° , an external angular opening between 20° and 50°, and two lateral edges defining a radius extending over a distance which is between one-third and two-thirds of a distance separating the axis of rotation from the free end of the magnet sectors.