Coil device for an inductive receiving system, with a first coil with a plurality of first windings, and a second coil with a plurality of second windings, wherein the first coil and the second coil are connected in series with each other and are configured to run in opposite directions to each other, wherein each winding has an internally arranged conductor section (A1, B1) and an externally arranged conductor section (A3, B3), wherein the internally arranged conductor sections (A1, B1) are arranged centrally in the coil device, characterized in that the internally and externally arranged conductor sections (A1, A3) of at least a portion of the first windings are arranged in such a manner that the internally and externally arranged conductor sections (A1, A3) of a respective winding lie in a plane or span a plane, wherein these planes diverge from one another in the direction from the first coil to the second coil, so that the distance between the directly adjacent internally arranged conductor sections of the first coil is greater than the distance between the directly adjacent externally arranged conductor sections of the first coil, and in that the internally and externally arranged conductor sections (B1, B3) of at least a portion of the second windings are arranged in such a manner that the internally and externally arranged conductor sections (B1, B3) of a respective winding lie in a plane or span a plane, wherein these planes diverge from one another in the direction from the second coil to the first coil, so that the distance between the directly adjacent internally arranged conductor sections of the second coil is greater than the distance between the directly adjacent externally arranged conductor sections of the second coil. a second coil with a plurality of second windings, wherein the first coil and the second coil are connected in series with each other and are configured to run in opposite directions to each other, wherein each winding has an internally arranged conductor section (A1, B1) and an externally arranged conductor section (A3, B3), wherein the internally arranged conductor sections (A1, B1) are arranged centrally in the coil device, characterized in that the internally and externally arranged conductor sections (A1, A3) of at least a portion of the first windings are arranged in such a manner that the internally and externally arranged conductor sections (A1, A3) of a respective winding lie in a plane or span a plane, wherein these planes diverge from one another in the direction from the first coil to the second coil, so that the distance between the directly adjacent internally arranged conductor sections of the first coil is greater than the distance between the directly adjacent externally arranged conductor sections of the first coil, and in that the internally and externally arranged conductor sections (B1, B3) of at least a portion of the second windings are arranged in such a manner that the internally and externally arranged conductor sections (B1, B3) of a respective winding lie in a plane or span a plane, wherein these planes diverge from one another in the direction from the second coil to the first coil, so that the distance between the directly adjacent internally arranged conductor sections of the second coil is greater than the distance between the directly adjacent externally arranged conductor sections of the second coil.