UNIT 1:Review of electrostatics: Electric Potential, boundary conditions, Poisson’s and Laplaces equations, La-place equation in one, two, and three dimensions, Boundary conditions and Uniqueness theorem, Conductors and second Uniqueness theorem.UNIT 2:Techniques of solving Laplaces equation: Finite difference method, Relaxation method, and other methods of finding the potentials: Method of images, Separation of variables, Spherical co-ordinates, Multipole expansion, Electric field of a dipole.UNIT 3:Electric field in matter: Induced dipoles, Polarization, Field of polarized Object, bound charges, Physical interpretation of bound charges, Field inside a dielectric, Electric displacement, Linear dielectrics, Boundary value problem with linear dielectrics, Energy in dielectric systems, Force on dielectrics.UNIT 4:Magnetostatics with vector potential: Maxwells equations for magnetostatics, Magnetic vector potential, Aharanov-Bohm effect, Magnetostatic boundary conditions, Multipole expansion of magnetic vector potential.UNIT 5:Magnetic field in matter: Diamagnets, Paramagnets, Ferromagnets. Torques and Forces on Magnetic di-poles, Effect of magnetic field on atomic Orbits, Magnetization, Bound currents, Physical interpretation of bound currents, Magnetic field inside matter, Ampere’s law in magnetized materials, Magnetostatic Bounda-ry Conditions, Linear and Nonlinear media: Magnetic susceptibility and permeability. Ferromagnetism
