PH-302 Basic Electromagnetism. 

  1. Vector calculus: vector fields, divergence, curl, Laplacian, Gauss and Green theorems. Force on a charge, work, energy. Conductors and insulators. The concept of induced charge and surface charge, the force on a conductor.
  2. Coulomb’s law, Electric field, electric field from continuous charge distributions, Gauss’s law with applications, electric potential of a localized charge distribution, Poisson’s and Laplace’s equation.
  3. Solutions of Poisson’s and Laplace’s equations in Cartesian, spherical and cylindrical coordinates.
  4. Boundary conditions and uniqueness theorem, methods of images, charge between parallel plates, charge outside metallic sphere, induced surface charges.
  5. Multipole expansion, potential due to electric and magnetic monopoles and dipoles, electric and magnetic dipoles, fields at long and short distances.
  6. Electric polarization and induced dipoles, bound charges and field inside a dielectric, electric displacement, Gauss’s law in the presence of dielectrics, electric susceptibility, permittivity and dielectric constant, boundary value problems in linear dielectric medium, forces and energy in dielectric systems.
  7. Lorentz force, magnetic induction, Biot-Savart law, magnetic induction due to a long straight current carrying wire and for a circular loop, Hall effect in semiconductors.
  8. Vector potential, applications of Ampere’s law, multipole expansion of the vector potential.
  9. Introduction to magnetostatics, magnetic field inside matter and the concept of auxiliary field H. Ampere’s law in magnetized materials, magnetic susceptibility and permeability. Linear and nonlinear media with boundary conditions


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