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Considering a copper wire heated by Joule effect and the variation of itsresistivity and specific heat with temperature, we established numerical andanalytical solutions (between 293 and 1356 K for the latter) for the evolutionof its temperature over time. The Temperature vs. Time evolution follows aLambertian function. The calculations are based on the assumption of adiabaticheating and uniform current distribution within the wire. We demonstrate thatat very low temperature the heating rate is strongly dependent on copperpurity.

Adiabatic Joule Heating of Copper from 4 K to the Melting Temperature