  The charging capacitor is used as a standard paradigm for illustrating the
concept of the Maxwell "displacement current". A certain aspect of the problem,
however, is often overlooked. It concerns the conditions for satisfaction of
the Faraday-Henry law both in the interior and in the exterior of the
capacitor. In this article the situation is analyzed and a recursive process is
described for obtaining (at least approximate) solutions of Maxwell's equations
inside and outside the capacitor.
