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.
Theoretical physics concentrates on developing the theory and mathematics of these laws, while applied physics focuses attention on the application of the principles of physics to practical problems. ...Theoretical physics concentrates on developing the theory and mathematics of these laws, while applied physics focuses attention on the application of the principles of physics to practical problems. These include astrophysics (physics of astronomy), geophysics (physics of geology), biophysics (physics of biology), chemical physics (physics of chemistry), and mathematical physics (mathematical theories related to physics).