Concepts of Electric Circuit Analysis Revised: Analysis without Current Direction

Fuente: arXiv
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Autore principale: Podobnik, Tomaž
Natura: Preprint
Pubblicazione: 2025
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author Podobnik, Tomaž
author_facet Podobnik, Tomaž
contents The electric current as the flux of current density -- a signed scalar, not a vector -- is inconsistent with the concept of the current direction, commonly invoked in the electric circuit analyses within, for example, Kirchhoff's current law, the resistance rule, and Lenz's law. This paper presents an approach to the circuit analysis that is not predicated upon the ``current direction,'' and thus avoids such inconsistencies. The approach is summarized in five rules and the application of these rules is demonstrated by analyzing an RLC series circuit.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18609
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Concepts of Electric Circuit Analysis Revised: Analysis without Current Direction
Podobnik, Tomaž
Classical Physics
The electric current as the flux of current density -- a signed scalar, not a vector -- is inconsistent with the concept of the current direction, commonly invoked in the electric circuit analyses within, for example, Kirchhoff's current law, the resistance rule, and Lenz's law. This paper presents an approach to the circuit analysis that is not predicated upon the ``current direction,'' and thus avoids such inconsistencies. The approach is summarized in five rules and the application of these rules is demonstrated by analyzing an RLC series circuit.
title Concepts of Electric Circuit Analysis Revised: Analysis without Current Direction
topic Classical Physics
url https://arxiv.org/abs/2501.18609