Charge conservation and the transcapacitance element: an exposition

Abstract

A simple gedanken experiment is presented to demonstrate the violation of charge (and energy) conservation, as predicted by D.E. Ward (1981), J.J. Paulos and D.A. Antoniadis (1983), and D. Root and B. Hughes (1988), in the two-parameter nonlinear modeling of capacitance. The paradoxes are resolved through examination of a complete physical model of the capacitor. The role of the transcapacitive element in reestablishing charge conservation is explored in this context. Discussion of the software implementation of transcapacitance and its dual, transinductance, is also included.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>