The Maxwell-Volterra reciprocity law in electrodynamics

TL;DR

This paper proves the Maxwell-Volterra reciprocity law in electrodynamics using elliptic equations with measures data and illustrates it with a simple one-dimensional example.

Contribution

It introduces a novel proof of the Maxwell-Volterra reciprocity law leveraging elliptic equations with measures data, providing a new mathematical perspective.

Findings

Proof of the reciprocity law using elliptic equations with measures data

A simple one-dimensional example illustrating the law

Enhanced understanding of reciprocity in electrodynamics

Abstract

Use is made of the theory of elliptic equations with measures data to prove the Maxwell-Volterra reciprocity law. A simple one-dimensional example is also given.