Seebeck Effect: The simple thermocouple circuit in Figure 2.2 consists of two dissimilar metals denoted as Material X and Material Y. Typically, thermocouple A is used as a "reference" and is maintained at a relatively cool temperature when compared to thermocouple B, which is used to measure the temperature of interest.
When heat is applied to thermocouple B, a voltage (Vo), the Seebeck emf, will appear across terminals T1 and T2. This voltage, can be expressed mathematically as:
Vo = axy * (Th - Tc)
where:
Vo is the output voltage in volts.
axy is the differential Seebeck coefficient between the two materials, x and y, in volts/ºK.
Th and Tc are the hot and cold thermocouple temperatures, respectively, in degrees Kelvin (ºK).
If you are not familiar with degrees Kelvin (ºK), it is an absolute scale using the same divisions as Celcius (ºC), but with values no lower than zero ('Zero' being absolute zero, the coldest possible temperature. 0 ºK equals -273.16 ºC.).
Peltier Effect: Modifying the thermocouple circuit of Figure 2.2 to that of Figure 2.3 will make it possible to observe an opposite phenomenon known as the Peltier Effect.
If a voltage (Vin) is applied to terminals Tl and T2, an electrical current (I) will flow in the circuit. As a result of the current flow, a slight cooling effect (Qc) will occur at thermocouple junction A where heat is absorbed and a heating effect (Qh) will occur at junction B where heat is expelled. Reversing the direction of electric current flow will reverse the direction of heat flow. The Peltier effect can be expressed mathematically as:
Qc or Qh = pxy * I
where:
pxy is the differential Peltier coefficient between the two materials, x and y, in volts.
I is electric current flow in amperes.
Qc and Qh is the rate of cooling and heating, respectively, in watts.
Also note the phenomenom of Joule heating (also measured in watts), having a magnitude of I²R (where R is the electrical resistance in ohms). This occurs in the conductors as a result of current flow. Joule heating acts in opposition to the Peltier effect and causes a net reduction of the available cooling.