The current and temperature distributions in a conductor are affected not only by the magnetic effect of the current, i.e., skin effect, but also by the variation of resistivity with temperature. Consequently the two are interdependent, and since the resistance change amounts to between three and four percent for every 10°C rise in temperature in metals, and is still greater in insulators, its effect can be quite appreciable. A complete solution for the steady state is given herewith.