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

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I introduce the exact relation between the displacement current $ε_0 \partial Ě/\partial t$ and the ordinary current $vJ$. I show that $ε_0 \partial Ě/\partial t$ 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

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