A cartridge for an e-vaping device includes a conductive element extending through an interior of a dispensing interface to which a heating element is coupled. The conductive element may have a greater temperature coefficient of electrical resistivity than the heating element. The dispensing interface may include a fibrous wicking material, and the conductive element may be woven through an interior of the fibrous wicking material. A temperature of the dispensing interface may be determined based on monitoring an electrical resistance of the conductive element. An amount of pre-vapor formulation may be determined based on an electrical resistance of the bridge electrical circuit to an electrical signal between the heating element and the conductive element through the dispensing interface.