Problem S10.7. The junction between two metal wires, A and B, in a thermocouple has a circular cross-sectional area, p, where p is the radius of the wires. Assume that the transition between the two metals takes place smoothly over a distance, AL, so the transition region (the junction) has a volume, pAL. Assume that the temperature is uniform throughout the junction and that an electric current, I, is flowing through the junction. From Problem S10.5 the entropy production, (entropy/volume time), is given by

In the limit AL 0, show that the Peltier heat, which is just the entropy/ (area time current) produced (or lost) in the junction, is given by = (TB - A).

Transcribed Image Text:

= V. TI T R12 + T