Deriving Gauss’s Law from Coulomb’s Law

In the world of classical electromagnetism, we can understand the interaction between electricity and magnetism through four fundamental equations, known as Maxwell’s equations. Derived originally by James Clerk Maxwell in the 19th century, in his infamous paper “On Physical Lines of Force” as a response to all of Michael Faraday’s empirical observations about electromagnetism, these equations form the basis of modern telecommunications, electric circuits, and more. Deriving Maxwell’s equations is no easy feat, but it can be an incredibly rewarding exercise for students of physics and…