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 of the corresponding solutions is compatible with the full set of Maxwell’s equations. The paradoxical situation persists even by weakening boundary conditions, resulting in the impossibility to describe a trivial phenomenon such as the capacitor’s charging process, by means of the standard Maxwellian theory.

Charging Capacitors According to Maxwell’s Equations: Impossible / Funaro, Daniele. - In: ANNALES DE LA FONDATION LOUIS DE BROGLIE. - ISSN 0182-4295. - STAMPA. - 39:(2014), pp. 75-93.

Charging Capacitors According to Maxwell’s Equations: Impossible

FUNARO, Daniele
2014

Abstract

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 of the corresponding solutions is compatible with the full set of Maxwell’s equations. The paradoxical situation persists even by weakening boundary conditions, resulting in the impossibility to describe a trivial phenomenon such as the capacitor’s charging process, by means of the standard Maxwellian theory.
39
75
93
Charging Capacitors According to Maxwell’s Equations: Impossible / Funaro, Daniele. - In: ANNALES DE LA FONDATION LOUIS DE BROGLIE. - ISSN 0182-4295. - STAMPA. - 39:(2014), pp. 75-93.
Funaro, Daniele
File in questo prodotto:
File Dimensione Formato  
Funaro_2014.pdf

non disponibili

Tipologia: Versione dell'editore (versione pubblicata)
Dimensione 226.03 kB
Formato Adobe PDF
226.03 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1057916
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? ND
social impact