A system for remotely measuring the characteristics of water passing through a plumbing control device (PCD)) includes a sensor within the interior of the PCD. The sensor is configured to measure characteristics of the water to obtain measured data. The sensor is also linked to a microcontroller of the PCD. An antenna board is linked, and configured to transmit power, to both the microcontroller and the sensor. A mobile device is configured to locate the antenna board. The mobile device transmits power to the antenna board which, in turn, transmits power to the microcontroller and the sensor. When power is not being transmitted from the antenna board, the microcontroller and the sensor are powered off.

A field device for measuring information associated with each of equipments installed in a plant includes: a measurer configured to measure running condition of the equipment, and to output measurement information representing result of the measurement; a diagnoser configured to diagnose the running condition of the equipment represented by the measurement information in accordance with predetermined first diagnosis rule, to diagnose result diagnosed in accordance with the first diagnosis rule in accordance with predetermined second diagnosis rule, and to output diagnosis result information representing result diagnosed in accordance with the second diagnosis rule as result of diagnosing the running condition of the equipment; wherein the second diagnosis rule is configured to be set condition for confirming influence of an external factor to the running condition of the equipment.