Current Flow Between Concentric Spheres · IZhO 2020 #1.2
Physics · electromagnetism
Problem
The space between two concentric well conductive spheres of radii a and b>a is filled with a substance whose specific resistance depends only on the distance to the spheres' common center. An electric current of strength I flows in between the spheres, such that the bulk density of Joule heat losses in the substance is the same at all points and is equal to w. Determine the average density of the space charge ρQ accumulated in the volume of the substance over a sufficiently long time of the electric current flow.