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                              connections between the two conductors at both ends must form a good electrical con-
                              nection. The fundamental thermoelectric phenomenon is that there is a voltage differential
                              developed between the open circuit end of the conductor proportional to the temperature of
                              the one of the junctions relative to the temperature of the other junction. The thermoelectric
                              phenomena is a result of the flow of both heat and electricity over a conductor. This is called
                              the Seebeck effect, named after Thomas J. Seebeck who first observed this phenomenon in
                              1821. The voltage differential measured at the output of the thermocouple is approximately
                              proportional to the temperature differential between the two points (V out  in Figure 6.54),

                                                          V out  ≈ K ⋅ (T − T )                 (6.176)
                                                                        2
                                                                    1
                              Notice that the proportionality constant is a function of the thermocouple materials. The
                              thermocouple materials refer to the material types used for conductors A and B. Further-
                              more, it is not exactly constant, but varies with temperature by a small amount.
                                   The proportionality constant is a very good approximation for many types of ther-
                              mocouples over large temperature ranges. This makes the thermocouples very attractive
                              sensors due to their linearity over large temperature ranges. The voltage output of the
                              thermocouple is in the milli Volt (mV) range and must be amplified by an op-amp circuit
                              before it is used by a data acquisition system.
                                   A thermocouple measures the temperature difference between its two junctions. In
                              order to measure the temperature of one of the junctions, the temperature of the other
                              junction must be known. Therefore, a reference temperature is required for the operation
                              of the thermocouple. This reference can be provided by either ice-water or by a built-in
                              electronic reference temperature. The measurement error in most thermocouples is around
                                    ◦
                              ±1to2 C. Different thermocouple material pairs are designated with a standard letter to
                              simplify references to them (Table 6.2).
                                   In most cases, the output of the thermocouple is processed by a digital computer
                              system. The reference temperature is provided by a thermistor based sensor as part of the
                              thermocouple interface circuit of the data aquisition board (DAQ). Multiple thermocouples
                              can be connected in series to sum the sensor generated signal or in parallel to measure the
                              average temperature over a finite area. Computer interface cards for thermocouple signal
                              processing make use of the standard thermocouple tables for the voltage to temperature
                              conversion for each specific type of thermocouple, instead of using linear approximation to
                              the voltage–temperature relationship. Such standard reference tables are generated by orga-
                              nizations such as the National Institute of Standards and Technology (NIST) for different
                              types of thermocouples.



                              TABLE 6.2: Thermocouple types and their applications.
                              Type       Material A           Material B             Applications
                                                                                                  ◦
                              E      Chromel (90% nickel,  Constantan (55% copper,  Highest sensitivity, < 1000 C
                                      10% chromium)       45% nickel)
                              J      Iron               Constantan            Non-oxidizing environment,
                                                                                    ◦
                                                                                < 700 C
                                                                                    ◦
                              K      Chromel (90% nickel,  Alumel (94% nickel,  < 1400 C
                                      10% chromium)       3% manganese, 2%
                                                          aluminum, 1% silicon)
                                                                                                   ◦
                              S      Platinum and       Platinum              Long term stability, < 1700 C
                                      10% rhodium
                                                                                                    ◦
                              T      Copper             Constantan            Vacuum environment, < 400 C
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