Electromagnetism

Overview

In this course students will learn and apply properties of electric and magnetic fields in the presence of static charge and current distributions. They will also understand, analyze, and apply Maxwell’s equations that govern the dynamics of electric and magnetic fields.

INTENDED AUDIENCE : BSc first yearPREREQUISITES : CalculusINDUSTRY SUPPORT : Nil

Syllabus

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