An inductive device comprises a toroidal core (101) and at least one electric conductor (102) wound around the toroidal core and constituting at least one winding. The inductive device comprises a cooling element (104) constituting a cylindrical cavity that contains the toroidal core and the electric conductor so that the axial direction of the toroidal core is parallel to the axial direction of the cylindrical cavity. The shape of the cylindrical cavity and the cross-section of the electric conductor are adapted to match each other so as to improve heat transfer from the electric conductor tothe wall of the cylindrical cavity. The cylindrical cavity, for example, can have a circular base and the electric conductor, for example, can have a rectangular cross-section that matches the shapeof the wall of the cylindrical cavity better than a round electric conductor.