Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions

This lecture covers the modification of Gauss's law in the presence of dielectric materials to accurately calculate electric field lines. The concept of electric displacement vector D is introduced to determine the electric field E and Coulomb force. Boundary conditions for heterogeneous materials are derived from electrostatic laws, emphasizing the absence of Coulomb law and potential function for D. The lecture also explores the formula for finding the electric field via D and discusses boundary conditions between dielectrics, focusing on the displacement vector's normal and tangential components.