Electric Fields and Gauss's Law

This lecture covers the concept of charged particles in an electric field, including the behavior of charges, electric dipoles, and the potential and electric field due to a dipole. It also explains how to use Gauss's law to find electric fields for different geometries, such as cylinders and spheres. Additionally, it discusses conducting spheres and shells with surface charges, as well as the implications of the circuital law. The lecture concludes with an explanation of Poisson's and Laplace's equations in the context of electric fields.