The exact relation between the displacement current and the conduction current: Comment on a paper by Griffiths and Heald

Abstract

I introduce the exact relation between the displacement current ${\epsilon }_0\partial \check{E}/\partial t$ and the ordinary current $vJ$. I show that ${\epsilon }_0\partial \check{E}/\partial t$ contains a local term determined by the present values of $vJ$ plus a non-local term determined by the retarded values of $vJ$. The non-local term implements quantitatively the suggestion made by Griffiths and Heald that the displacement current at a point is a surrogate for ordinary currents at other locations.

7 pages

References in corpus (1)

• Can Maxwell's equations be obtained from the continuity equation?