Stokes’ Theorem relates an integral over an open surface to an integral over the curve bounding that surface. This relationship has a number of applications in electromagnetic theory.
This page explains Gauss's divergence theorem and Stokes' theorem, which connect vector fields' integral and differential forms. It outlines how these theorems are applied to convert Maxwell's equatio...This page explains Gauss's divergence theorem and Stokes' theorem, which connect vector fields' integral and differential forms. It outlines how these theorems are applied to convert Maxwell's equations between forms, detailing integral expressions for key laws like Faraday's and Ampere's. The text further includes practical examples demonstrating the use of Gauss's and Ampere's laws to calculate electric and magnetic fields, complemented by sketches to aid comprehension of Maxwell's equations.
Stokes’ Theorem relates an integral over an open surface to an integral over the curve bounding that surface. This relationship has a number of applications in electromagnetic theory.