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Prob.set5 - Physics 361 Problem Set 5 due P5.1 Thermocouple...

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Physics 361 Problem Set 5 due November 11, 2009 P5.1 Thermocouple The most obvious experiment to see the thermopower of a metal is to attach the ends of two wires made of different metals and then subject the two ends to the same temperature difference as shown in Fig 13.1. If one measures the open-circuit potential across in this current loop, one gets a voltage propor- tional to the temperature difference. This voltage is also proportional to the difference in thermopowers of the two metals. This effect provides a means of measuring temperature differences. Such a device is called a thermocouple. a) Using methods of Chapter 2, predict the voltage per degree of temperature difference for two ideal Sommerfeld metals with Fermi energies E 1 and E 2 . b) What pair of metals in Table 2.1 should give the biggest voltage, and how big is it for a one-degree temperature difference? c) The Handbook of Chemistry and Physics reports thermocouple coefficients for copper and constantin wires and for iron and constantin wires.
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