An extruded profiled element, based on a cross-linkable rubber composition, is delimited in width by two lateral faces which connect radially inner and outer faces to one another for the tread. A conducting element is provided in the profiled element to connect the inner face electrically to the outer face between the lateral faces and all along the length of the profiled element. The remainder of the profiled element is based on an electrically insulating material. When the profiled element is viewed in cross-section, the conducting element has a layered structure including electrically conducting layers which are essentially concentric and which have a curvature towards at least one of the inner and outer faces, with at least one of the layers emerging at the surface of the outer face.