Problemas de condições de contorno no eletromagnetismo clássico

Abstract

In this work we propose the resolution of some didactic problems of classical electromagnetism subject to boundary conditions in electrostatics and magnetostatics. Although this theme is found in official textbooks, in general, the examples and applications of these boundary conditions are not presented in a clear and detailed way approaching the mathematical development of the problem. In this monograph, problems of electrostatics and magnetostatics are solved in detail, discussing the physics of each problem and presenting the step-by-step mathematical development for each situation. Problems of multipole expansion and Poisson and Laplace equation are also solved. Furthermore, the general objective of this work is to review classic problems of magnetostatics and electrostatics and produce a material based on detailed and di dactic approaches to problem solving. The methodology used in this monograph has a theoretical part, in the analytical resolution of problems, and a computational part, in the implementation of graphs of electric potentials and electric and magnetic fields through the Python language. At the end of the work, it is intended to make it available on the website of UNIFAP physics course, so that it can be freely accessed by those interested in the subject and students who want to take the Unified Physics Exam or any other contest or test that have this subject as scope. The Python code scripts present in the plots of this work will be available as an attachment to this document, thus being available to anyone who accesses the academic work.