Affordable Access

Self-Inductance and the Mass of Current Carriers in a Circuit

Authors
  • Boyer, Timothy H.
Type
Preprint
Publication Date
Aug 16, 2014
Submission Date
Aug 16, 2014
Identifiers
arXiv ID: 1408.3739
Source
arXiv
License
Yellow
External links

Abstract

In this article, the self-inductance of a circular circuit is treated from an untraditional, particle-based point of view. The electromagnetic fields of Faraday induction are calculated explicitly from the point-charge fields derived from the Darwin Lagrangian for particles confined to move in a circular orbit. For a one-particle circuit (or for N non-interacting particles), the induced electromagnetic fields depend upon the mass and charge of the current carriers while energy is transferred to the kinetic energy of the particle (or particles). However, for an interacting multiparticle circuit, the mutual electromagnetic interactions between particles can dominate the behavior so that the mass and charge of the individual particles becomes irrelevant; the induced fields are then comparable to the inducing fields and energy goes into magnetic energy. In addition to providing a deeper understanding of self-inductance, the example suggests that the claims involving hidden mechanical momentum in connection with momentum balance for interacting multiparticle systems are unlikely to be accurate.

Report this publication

Statistics

Seen <100 times