The simplest example of the use of the method of images

TL;DR

This paper demonstrates that a system with two parallel planes, one conducting and one insulating with charges, serves as the simplest example for applying the method of images, clarifying its use beyond common literature examples.

Contribution

It provides a clear and simple example of the method of images involving a conducting and an insulating plane, contrasting with more complex cases in existing literature.

Findings

Illustrates the method of images with a simple parallel plane system

Clarifies misconceptions about the simplest applications of the method

Provides a foundational example for educational purposes

Abstract

It is shown that the system consisting of two infinite and parallel planes, one of them a conductor, and the other an insulator with a uniform distribution of charges, is the simplest example of the use of the method of images, in contrast to what is diffused in the literature.