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Related papers: A Capacitor Paradox

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It is shown that the famous paradox of two charged capacitors is successfully resolved if all the energy changes in the system are properly considered when some of the charges are transferred from one capacitor to the other. It happens so…

Classical Physics · Physics 2016-11-04 Ashok K. Singal

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…

Classical Physics · Physics 2018-07-02 P. Ourednik , L. Jelinek

In this work single capacitor paradox (a variation of the remarkable two capacitor paradox) is considered in a new, quantum discrete form. Simply speaking we consider well-known usual, photoelectric effect experimental device, i.e. photo…

Quantum Physics · Physics 2009-12-11 Darko Kapor , Vladan Pankovic

In this work we consider a new version of the remarkable two capacitor paradox, concretely its simpler form called single capacitor paradox in realistic case when all capacitors plates, conductors and switch are made by the same kind of…

General Physics · Physics 2023-01-02 Vladan Pankovic

A very simple system like a parallel-plate capacitor reveals striking features when we examine the peculiar phenomena appearing when it is moving at low speed in different directions. Both hidden momentum and hidden energy appear and their…

Classical Physics · Physics 2015-08-05 Giovanni Asti

The classical two-capacitor paradox of the lost energy is revisited from an electronic circuit security stand-point. The paradox has been solved previously by various researchers, and the energy lost during the charging of capacitors has…

Cryptography and Security · Computer Science 2025-12-24 Raghvendra Pratap Singh , Baibhab Chatterjee , Shreyas Sen , Debayan Das

A model is constructed and a paradox concerning the proper direction and magnitude of the external force to maintain the equilibrium state of a parallel plate capacitor system is raised. By a thorough study of the model using different…

Classical Physics · Physics 2014-03-05 Songyan Li

The well-known two-capacitor problem, in which exactly half the stored energy disappears when a charged capacitor is connected to an identical capacitor is discussed based on the mechanical harmonic oscillator model approach. In the…

Classical Physics · Physics 2012-10-17 Keeyung Lee

An anomaly in electrical circuit theory is the disappearance of some of the energy when two capacitors, one charged and the other uncharged, are connected together through resistanceless wires. Nonstandard analysis shows that, when the…

General Mathematics · Mathematics 2007-05-23 A. H. Zemanian

The classical two-capacitor problem shows a mysterious lose of energy even under lossless conditions and questions the basic understanding of energy relation in a capacitor. Here, we present a solution to the classical two-capacitor…

Physics Education · Physics 2009-10-29 A. P. James

In the present work we study the well-known Two Capacitor Problem from a new perspective. Although this problem has been thoroughly investigated, as far as we know there are no studies of the thermodynamic aspects of the discharge process.…

Classical Physics · Physics 2012-06-12 Vitor Lara , Alexandre P. Lima , Antônio T. Costa

As it is well-known one of the most fascinating examples in remarkable discussion between Einstein and Bohr on the conceptual foundation of the quantum mechanics (Heisenberg energy-time uncertainty relation especially) was an experimental…

Quantum Physics · Physics 2009-12-22 Vladan Pankovic , Darko V. Kapor

The charge of an ideal parallel capacitor leads to the resolution of the wave equation for the electric field with prescribed initial conditions and boundary constraints. Independently of the capacitor's shape and the applied voltage, none…

General Physics · Physics 2014-12-19 Daniele Funaro

We study the effect of any uneven voltage distribution on two close cylindrical conductors with parallel axes that are slightly shifted in the radial and by any length in the axial direction. The investigation is especially motivated by…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

Inspired by recent assertions that imply incorrectness of the classical constitutive relationship of time-varying capacitance, energetic and system-theoretic perspectives are invoked that, instead of incorrectness, show incompleteness of…

Dynamical Systems · Mathematics 2022-10-26 Dimitri Jeltsema

We fill a gap in the arguments of Boykin et al [American Journal of Physics, Vol 70 No. 4, pp 415-420 (2002)] by not invoking an electric current loop (i.e. magnetic dipole model) to account for the radiation energy loss, since an obvious…

Classical Physics · Physics 2015-06-26 T. C. Choy

It is shown that the well-known disparity in classical electrodynamics between the power radiated in electromagnetic fields and the power-loss, as calculated from the radiation reaction on a charge undergoing a non-uniform motion, is…

Classical Physics · Physics 2014-10-29 Ashok K. Singal

Half of the energy is always lost when charging a capacitor. Even in the limit of vanishing resistance, half of the charging energy is still lost--to radiation instead of heat. While this fraction can technically be reduced by charging…

Applied Physics · Physics 2018-05-14 Justin C. Wong , Sayeef Salahuddin

The emission of radiation by a uniformly accelerated charge is analyzed. According to the standard approach, a radiation is observed whenever there is a relative acceleraion between the charge and the observer. Analyzing difficulties that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Amso Harpaz , Noam Soker

We discuss here the famous paradox of a continuous power drainage from the source at the input of an otherwise lossless infinite transmission line. The solution of the paradox lies in the realization that in an open-circuit finite…

Classical Physics · Physics 2018-04-26 Ashok K. Singal
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