Equi-Partition of Outflow of Joule's Heat Generated in a Homogeneous Body of Arbitrary Shape

Abstract

Joule's heat generated in a homogeneous body of arbitrary shape flows out just equally through each of two electrodes, when the body is isolated from the environment both electrically and thermally except at the electrodes, which are attached onto the surface of the body. This ``Theorem of equi-partition of Joule's heat'' holds even when both electrical and thermal conductivity of the material vary with temperature in an arbitrary way.