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Calculate Process Temperature using a Thermocouple

Suppose you walk up to this thermocouple, installed to measure the temperature of an enclosed process vessel, and connect a sensitive voltmeter to the terminals at the junction head:

thermocouple Transmitter Formula

Determine the process temperature if you read 7.825 millivolts with the voltmeter connected to the screw terminals inside the thermocouple head. Assume a head temperature of 92 oF.

Suppose at some later time you connected the voltmeter to the transmitter’s input terminals and read 8.332 millivolts. Calculate the process temperature at this time, assuming an ambient temperature of 66 oF at the transmitter.

Answer :

An equivalent circuit diagram shows the relationships between the thermocouple measurement junction (in the process), the two reference junctions formed where thermocouple wire meets copper wire, the digital multimeter, and the temperature transmitter (when the DMM is connected at the head):

Equivalent circuit with digital multimeter (DMM) connected at Thermocouple

Tprocess = 388 deg F at 7.825 millivolts (measured at 92 oF head)

Another equivalent circuit diagram shows the relationships between the thermocouple measurement junction (in the process), the two reference junctions formed where thermocouple wire meets copper wire, the digital multimeter, and the temperature transmitter (when the DMM is connected at the transmitter):

Equivalent circuit with digital multimeter (DMM) connected at Thermocouple - 2

Tprocess = 385 deg F at 8.332 millivolts (measured at 66 oF transmitter terminals)

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