1. Show that the difference in Kelvin coefficients for a thermocouple made of conductors A and B can be written in terms of the open circuit voltage as τAB = T (d2?AB/dT2).
2. Show that, if the Kelvin thermoelectric effect did not exist (i.e., if τAB were zero), then the voltage produced by a thermocouple would always depend linearly on temperature.