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相关论文: The Paradox of Two Charged Capacitors -- A New Per…

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Consider two capacitors in parallel, but initially isolated by a switch such that one is charged and the other not. After the switch is closed, the charges redistribute themselves in such a way that the final electrostatic energy is less…

经典物理 · 物理学 2007-05-23 Kirk T. McDonald

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…

综合物理 · 物理学 2023-01-02 Vladan Pankovic

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…

综合物理 · 物理学 2016-12-01 Vladan Pankovic

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…

经典物理 · 物理学 2012-10-17 Keeyung Lee

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…

物理教育 · 物理学 2009-10-29 A. P. James

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…

经典物理 · 物理学 2018-07-02 P. Ourednik , L. Jelinek

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…

密码学与安全 · 计算机科学 2025-12-24 Raghvendra Pratap Singh , Baibhab Chatterjee , Shreyas Sen , Debayan Das

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…

量子物理 · 物理学 2009-12-11 Darko Kapor , Vladan Pankovic

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…

经典物理 · 物理学 2014-03-05 Songyan Li

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.…

经典物理 · 物理学 2012-06-12 Vitor Lara , Alexandre P. Lima , Antônio T. Costa

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…

综合物理 · 物理学 2014-12-19 Daniele Funaro

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…

动力系统 · 数学 2022-10-26 Dimitri Jeltsema

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…

应用物理 · 物理学 2018-05-14 Justin C. Wong , Sayeef Salahuddin

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…

量子物理 · 物理学 2009-12-22 Vladan Pankovic , Darko V. Kapor

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…

经典物理 · 物理学 2015-06-26 T. C. Choy

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…

经典物理 · 物理学 2018-04-26 Ashok K. Singal

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…

综合数学 · 数学 2007-05-23 A. H. Zemanian

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…

经典物理 · 物理学 2015-08-05 Giovanni Asti

This study is presented in a series of two papers. The first paper is an analytical study. This is the second paper, and here we numerically study the thermal energy harvesting capability of two electronic circuits. The first circuit…

统计力学 · 物理学 2026-02-12 J. M. Mangum , L. L. Bonilla , A. Torrente , P. M. Thibado

Recently [Physics Letters A, 374, (2010) 1801] the concept of vacuum capacitor spontaneously charged harnessing the heat from a single thermal reservoir at room temperature has been introduced, along with a mathematical description of its…

综合物理 · 物理学 2013-05-24 Germano D'Abramo
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