Course

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

Prerequisites: Basics of Electricity and MagnetismCourse ObjectivesHaving successfully completed this module, the student will be able to demonstrate knowledge and under-standing of: Electric Potential, Boundary conditions, Maxwell’s equations, various techniques of solving Laplaces equation, Electric field and Magnetic fields in matter.Course OutcomesAfter completion of the course students will be able to:CO1: Understand the concept of electric potential, Laplaces equations, and uniqueness theoremsCO2: Apply special techniques to calculate the electric potentialCO3: Acquire knowledge related to bound charges and hence calculate the electric field of polarized objectsCO4: Understand magnetic vector potential, the magnetic field in the matter, and different types of magnetic materials

Text Books:1. David J. Griffiths, Introduction to Electrodynamics, 4th Ed., Pearson Publication, 2015.Reference Books:1. Richard P. Feynman, Robert P. Leighton and Matthew Sands, Feynman Lectures on Physics Vol.1, 1E, Narosa Publishing House, 2008.2.J.D. Jackson, Classical Electrodynamics, 3rd Ed., Wiley, 2007.3.David Halliday, Robert Resnick, and Jearl Walker, Fundamentals of physics, 10thEdition, John Wiley, 2017.4.Lectures by Prof. Dipan Ghosh on Electromagnetic Theory https://nptel.ac.in/ courses/115/101/115101005/