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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

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

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 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 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

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

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…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

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

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

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

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

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

Doubt continues to linger over the reality of quantum vacuum energy. There is some question whether fluctuating fields gravitate at all, or do so anomalously. Here we show that for the simple case of parallel conducting plates, the…

High Energy Physics - Theory · Physics 2008-11-26 Stephen A. Fulling , Kimball A. Milton , Prachi Parashar , August Romeo , K. V. Shajesh , Jef Wagner

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 total energy of the vacuum fluctuations of the electron-positron and electromagnetic fields in the quantum electrodynamics can be equal to zero if the "bare" electron charge is chosen by adequate way. The value of…

General Physics · Physics 2014-03-07 I. D. Feranchuk , S. I. Feranchuk

Electromagnetic waves propagate with the speed of light. The reason is that electrostatic fields as well as magnetic fields propagate with this speed. Both types of objects, waves as well as static fields contain and transport energy.…

General Physics · Physics 2007-10-18 Claus W. Turtur

Modern physics makes wide use of the equation for which only a potential solution is sought. The probability that this equation has a nonpotential solution is omitted from consideration automatically without any explanation. In this paper,…

General Physics · Physics 2011-06-21 Alexander Ivanchin

The decay of the electrical energy in a resistor-vacuum capacitor circuit is shown to involve multiple relaxation processes, with dramatically different time constants. This is measured using a vacuum capacitor to eliminate the effect of a…

General Physics · Physics 2024-04-02 Frank V. Kowalski
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