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ELECTRICITY AND MAGNETISM

Course Outline

The topics covered in this course are :

  • Review of vector calculus - gradient, curl, divergence and Laplacian. Spherical polar coordinates, volume and surface integrals, Divergence Theorem and Stoke's Theorem

  • Electrostatics: Superposition principle for continuous charge distribution, Gauss's Law in integral and differential form, applications Electric potential, energy of electrostatic field, Poisson's and Laplace's Equations, Properties of conductors, Polarization and Bound charges, Vector D and P.

  • Magnetostatics : Lorentz force, Ampere's law and Biot Savart's Law, Divergence and curl of B, Vector potential and concept of gauge, Magnetism in matter, vector M, volume and surface currents.

  • Faraday's law in integral and differential form, Displacement current -- Maxwell's equations.

  • Electromagnetic waves, Poynting vector, radiation pressure.

Course Books (recommended)

  1. D. J. Griffiths, "Introduction to Electrodynamics", Pearson India (2014)**

  2. J. Reitz, F. J. Milfor and R. W. Christie, "Foundations of Electromagnetic Theory", Addition Wesley, 4th Edn. (2008)

  3. Edward Purcell, "Electricity and Magnetism", Berkeley Physics Course - Vol. II, McGraw Hill (2011)

** Primary  Text for the course

COURSE LECTURE NOTES:

  • A Crash Course on Vector Calculus : This is a quick review of basic concepts of vector calculus. It introduces concepts of gradients, curl and divergence. It also introduces different coordinate systems and illustrates divergence and Stoke's Theorem.

  • Electrostatics-I : Coulomb's law and Electric Field, Field due to discrete and continuous charge distributions.

  • Electrostatics-II : Electric Flux, Gauss's law and its applications in calculation of electric field in symmetric situations.

  • Electrostatics-III: Electric Potential, Determination of Electric field from Potential, Energy of a charge distribution.

  • Electrostatics-IV: Electrostatics of Conductors, Poisson's and Laplace's Equations.

  • Electrostatics-V: Method of Images for planar and spherical geometry (From NPTEL Lectures by the author)

  • Electrostatics-VI: Multipole expansion of potential, dipole and quadrupole potential

  • Magnetostatics-I: Magnetic field and its calculation for simple geometries, Biot-Savart and Ampere's law, Magnetic Vector Potential