Perfect Electrical Conductors

This lecture explores the behavior of perfect electrical conductors, ideal materials used to model metals. Conductors have a certain resistance, while perfect conductors have none. The concept of conductivity is introduced, showing that as conductivity tends to infinity, the electric field inside a perfect conductor tends to zero. The lecture delves into the modeling of perfect conductors, discussing the local law and boundary conditions at the surface. These conditions provide insights into the distribution of fields around the conductor. The implications of these conditions on surface charge density and induced surface currents are explained. The lecture concludes by highlighting the properties of metals and perfect conductors, emphasizing the perpendicular nature of the electric field and the tangential nature of the magnetic field near their surfaces.