Arrangement for contactless energy transmission, wherein a medium-frequency current is fed into an elongatedly formed primary conductor system, wherein consumers are supplied from a secondary coil provided inductively coupled to the primary conductor system, wherein there is connected in series or parallel to the secondary coil such a capacitance that the associated resonant frequency corresponds substantially to the medium frequency, in particular between 10 and 500 kHz, of the current, characterised in that a controllable inductance is provided, wherein the inductance comprises a main winding which is formed around at least one limb of a core (2, 3), wherein the main winding is supplied with alternating current, wherein a control winding is provided on at least one limb of the core (2, 3), which winding is supplied with unipolar current, wherein the control winding has at least two partial windings, the winding sense of which is arranged in such a manner - that the direction of the main flux generated in the region comprised by the first partial region of the control winding corresponds to the direction of the flux generated by the main winding when being supplied positive current in this region, - and that the direction of the main flux generated in the region comprised by the second partial region of the control winding corresponds to the direction of the flux generated by the main winding when being supplied with negative current in this second region, thus in the region comprised by the second partial region of the control winding, wherein the control winding is formed in such a manner that in each case alternately after performing a first number of turns of a partial region a corresponding number of turns of the other partial region is performed, wherein the number assumes a value between 1 and 10, wherein a supply winding is provided on at least one limb of the core (2, 3), to which winding there are connected means for generating the unipolar current, wherein the means are supplied from the induced voltage, in particular therefore secondary voltage, of the supply winding, wherein the main winding L is wound around a first E-shaped core, wherein a second E-shaped core, provided for closing the magnetic flux coming from the first E-shaped core, has around its middle limb the supply winding L3, wherein the first partial winding of the control winding L2 is provided in the right main limb and the second partial winding of the control winding L2 is provided in the left main limb wherein the winding senses of the two partial windings are arranged in opposite directions. - that the direction of the main flux generated in the region comprised by the first partial region of the control winding corresponds to the direction of the flux generated by the main winding when being supplied positive current in this region, - and that the direction of the main flux generated in the region comprised by the second partial region of the control winding corresponds to the direction of the flux generated by the main winding when being supplied with negative current in this second region, thus in the region comprised by the second partial region of the control winding,