ELECTRIC FIELDS IN MATTER — Edward Purcell & David Morin
Physics — E&M · em-waves-poynting-vector
Problem
A longitudinal E field inside a wire causes a current via J=σE. And since the curl of E is zero, this same longitudinal E component must also exist right outside the surface of the wire. Show that the Poynting vector flux through a cylinder right outside the wire accounts for the IV resistance heating.