Wave-Guiding Part of a Capacitor Paradox

TL;DR

This paper explores the capacitor paradox by isolating the inductance component as a wave-guiding phenomenon, offering a new perspective on the energy conservation issue in ideal capacitor connections.

Contribution

It introduces a wave-guiding approach to analyze the inductance aspect of the capacitor paradox, providing a novel educational viewpoint.

Findings

Wave-guiding perspective clarifies energy transfer in the paradox

Inductance plays a crucial role in resolving the energy non-conservation

New insights into electromagnetic behavior of ideal capacitors

Abstract

A capacitor paradox is an electromagnetic problem designed to show the limits of circuit theory which considers the connection of two ideal capacitors, one charged and the second discharged. A blind solution to this problem leads to the non-conservation of energy and, thus, to a paradox. In this text an attempt is made to isolate the inductance part of the problem in the form of wave-guiding phenomenon, providing yet another point of view of this intriguing educational problem.