On the electromagnetic momentum of static charge and steady current distributions
Andre Gsponer
Abstract
Faraday's and Furry's formulas for the electromagnetic momentum of static charge distributions combined with steady electric current distributions are generalised in order to obtain full agreement with Poynting's formula in the case where all fields are of class C1, i.e., continuous and continuously differentiable, and the integration volume is of finite or infinite extent. These three formulas are further generalised to the case where singularities are allowed to exist at isolated points in the fields, and at surfaces separating domains in which the distributions are of class C1. Applications are made to electric and magnetic, point-like and finite dipolar systems, with an emphasis on the impact of singularities on the magnitude and location of the electromagnetic momentum.
Create a lesson
Related papers
Impact of Phase Unwrapping on Multitarget Acoustic Lenses for Transcranial Holography
D. Attali, T. Tiennot, M. Tanter et al.
Harmonic Vector Fields and Betti Numbers in Bounded Three-Dimensional Electromagnetic Domains
Wei Jiang, Jie Liu
Increase of the electromechanical coupling of piezoelectric vibration harvesters through lateral bars
David Gibus, Grégoire Forges, Hélène Debéda et al.
Sliding contact fraction in gravity-driven dense cohesionless granular flows
Patrick Richard, Riccardo Artoni, Clovis Lambert et al.
Contact mechanics and friction of soft materials: an apparatus combining multi-axes dynamical actuation/measurement and in situ/in operando visualisation
Matthieu Guibert, Antoine Aymard, Cristobal Oliver et al.
Plasmonics at radio frequencies
Igor I. Smolyaninov, Quirino Balzano, John Mulholland et al.