A heater assembly for an aerosol-generating system is provided, including: an electrically insulating support having an aperture; an electrical heating element disposed across the aperture in the electrically insulating support, being configured to heat a liquid aerosol-forming substrate to form an aerosol, and being substantially flat; capillary material, wherein a portion of the capillary material is in contact with the electrical heating element, and the capillary material is configured to convey the liquid aerosol-forming substrate to the electrical heating element; and two electrical contacts respectively connected to ends of the electrical heating element, the two electrical contacts supported by the electrically insulating support. An aerosol-generating system including an aerosol-generating device and a cartridge is also provided.