Aerosol-generating system with electrodes and sensors

An aerosol-generating apparatus, comprising:

• a housing defining a cavity configured to receive a cartridge, the cartridge configured to hold a liquid aerosol-forming substrate, the cartridge including a cartridge housing defining a liquid storage portion;
• a first sensor arranged adjacent to the cartridge, the first sensor comprising interdigitated elements;
• and
• a control system within the housing, the control system comprising a second sensor configured to sense an orientation of the cartridge, the control system configured to,
• determine an amount of the liquid aerosol-forming substrate held in the liquid storage portion based on output from the first sensor and orientation information from the second sensor by,
• calculating the amount of the liquid aerosol-forming substrate held in the cartridge based on one of a plurality of known relationships between the liquid storage portion and the amount of the liquid aerosol-forming substrate held in the liquid storage portion stored in a memory, in response to the orientation information indicating that the cartridge is oriented substantially horizontal or substantially vertical, and
• approximating the amount of the liquid aerosol-forming substrate held in the cartridge based on a closest one the plurality of known relationships, in response to the orientation information indicating that the cartridge is at an inclined orientation such that the amount of the liquid aerosol-forming substrate determined to be held in the cartridge varies based on whether the orientation information indicates that the cartridge is oriented substantially horizontal, substantially vertical, or at the inclined orientation.