Hey, I am currently trying to calculate how much current a "wire" of very small dimensions can take. This "wire" is of dimensions of 100 micrometer and radius of about 1 micrometer. I have tried to use the Stefan-Boltzmann law or use the specific heat capacity, but in there I do not include any lost of heat to the ambient surroundings and to the heat sinks at each end. The results I get are not that good and I feel I have come to a dead end. I see the connection to filaments in lightbulbs but I haven't been able to find anything in that area. Anyone who can helps?