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Definite solution of the two capacitor paradox (and two water bucket paradox)

2009/12/03 by Vladan Panković, Vladan Pankovic, Pankovic, Vladan
Computer Science · Engineering · Physics and Astronomy · #Analog and Mixed-Signal Circuit Design #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #Low-power high-performance VLSI design #Neural Networks and Applications #physics.class-ph #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0912.0650

4 pages, no figures

openalex publication_date 2009/12/03 · arxiv created 2016/11/30 · arxiv updated 2016/12/01 · openalex created_date 2016/12/08 · openalex updated_date 2026/07/28

Abstract

In this work we suggest very simple solution of the two capacitors paradox in the completely ideal (without any electrical resistance or inductive) electrical circuit. Namely, it is shown that electrical field energy loss corresponds to works done by electrical fields of both capacitors by movement of the electrical charge. It is all and nothing more (some dissipation processes, e.g. Joule heating and electromagnetic wave emission effects) is necessary. Additionally, we shortly demonstrate a simple mechanical analogy of mentioned paradox and its solution. Concretely we consider two water buckets connected by a valve where is a seeming loss of the gravitational potential energy that can be explained by the work in the gravitational field.

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