Electric Fields: Maxwell Equations & Coulomb Force

This lecture covers the calculation of electric fields from charge distributions, focusing on the Maxwell equations and the conservative Coulomb force. Symmetry considerations simplify calculations, leading to specific field configurations consistent with Coulomb's law. The application of Stokes' theorem results in a static form of a Maxwell equation. The concept of a conservative force is explained, emphasizing its zero work along a closed path. The lecture also discusses the del operator applied to vector fields and provides examples in Cartesian coordinates.