An industrial roll includes: a substantially cylindrical core having an outer surface and an internal lumen; a polymeric cover circumferentially overlying the core outer surface; and a sensing system. The sensing system includes: a plurality of sensors at least partially embedded in the cover, the sensors configured to sense an operating parameter of the roll and provide signals related to the operating parameter; and a processor operatively associated with the sensors that processes signals provided by the sensors. Each of the plurality of sensors includes: a first electrode overlying the top surface of a substrate and a second electrode underlying the bottom surface of the substrate, wherein the first electrode overlies the top surface of the substrate and the second electrode underlies only a portion of the bottom surface of the substrate, thereby forming a gap adjacent the bottom surface and a side surface of the substrate; a first sheet of conductive material attached to the first electrode and the side surface of the substrate and extended in a first direction away from the bottom surface of the substrate; and a second sheet of conductive material attached to the second electrode and extended in a second direction away from the bottom surface of the substrate, the second surface being opposite the first direction.