Bounds for the electrical resistance for homogeneous conducting body of rotation

A mathematical model is developed for the steady-state electric current flow through in a homogeneous isotropic conductor whose shape body of rotation. The rotation considered bounded by coordinate surfaces an orthogonal curvilinear system. equations Maxwell’s theory solid are used to formulate corresponding boundary value problem. studied conduction problem axisymmetric. determination steady motion charges based on concept electrical conductance conductors inverse which resistance. exact (strict) resistance known only bodies with very simple shapes, therefore, principles and methods that can be creating lower upper bounds numerical (electrical conductance) important. derivation bound formulae axisymmetric ring-like two types Cauchy–Schwarz inequality. condition equality derived examined. Several examples illustrate applications formulae.