A surface functional system for a flat-type power supply in a low-voltage range includes a carrier system and a plurality of flat longitudinal electric conductor paths, wherein at least one flat electric conductor path is provided on the front or rear face of the carrier system or is integrated into the carrier system. An electric contact strip contains a first and a second electrically conductive conductor strip which run adjacently to each other. The first and second conductor strips are respectively connectable to first and second poles of a DC voltage source. The first conductor strip has contact points for an electrically conductive connection of a first set of flat electric conductor paths to the first electrically conductive conductor strip, and the second conductor strip has contact points for an electrically conductive connection of a second set of flat electric conductor paths to the second electrically conductive conductor strip.