Electromagnetism

COURSE LAYOUT

Week 1 : Vector algebra, Introduction to vector calculus: gradient, divergence, and curlWeek 2 : Cylindrical and spherical coordinate systems, line, surface, and volume elementsWeek 3 : Divergence theorem, Stokes theorem, and Dirac Delta functionWeek 4 : Electrostatics: Coulomb’s law, Gauss’s law: differential and integral forms, applicationWeek 5 : Electric potential, Poisson and Laplace equation (no solution), Method of images, Energy of a charge distributionWeek 6 : Field and potential due to dipole, Polarization in a dielectric, Linear dielectrics, Force on dielectricsWeek 7 : Motion of charged particles in electric and magnetic fields, Electric currents: line, surface, and volume
currents and current densities, Electrical conductivity and Ohm’s law, Equation of continuity, Energy dissipationWeek 8 : Magnetostatics: Biot-Savart law, Divergence and curl of B, Differential and integral form of Ampere’s lawWeek 9 : Vector potential, Magnetic dipoles, Magnetization in materials, Dia, para, and ferromagnetismWeek 10 : Electrodynamics, electromagnetic induction, motional emf and Faraday’s lawWeek 11 : Inductance and energy in a magnetic field, the displacement currents, Maxwell’s equationsWeek 12 : Electrodynamics within the framework of Maxwell’s equations and outlook