IEEE Circuits and Systems Magazine - Q4 2022 - 49

Feature
Simple Derivation of
Kirchhoff's Laws and
Analogous Laws
From Symmetries
Hubert Van Belle and Joos P. Vandewalle, Life Fellow, IEEE
Abstract
Kirchhoff's laws are undoubtedly the best known laws of electricity.
Hence, they have been taught and used widely. So, it may come
as a surprise to still write a paper about it. However, for reasons
of clarity and wide applicability, it is useful to derive Kirchhoff's
Digital Object Identifier 10.1109/MCAS.2022.3214565
Date of current version: 13 January 2023
FOURTH QUARTER 2022
laws with minimal assumptions and using only elementary arguments.
This brings some deeper reflections on the role and value
of these laws.
I. Introduction
K
irchhoff's laws are mathematical models for
connections in the electrical network theory that
show a remarkably simple formulation. This paper
1531-636X/23©2023IEEE
IEEE CIRCUITS AND SYSTEMS MAGAZINE
49
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IEEE Circuits and Systems Magazine - Q4 2022

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