**PH-302 Basic Electromagnetism. **

- 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.
- 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.
- Solutions of Poisson’s and Laplace’s equations in Cartesian, spherical and cylindrical coordinates.
- Boundary conditions and uniqueness theorem, methods of images, charge between parallel plates, charge outside metallic sphere, induced surface charges.
- Multipole expansion, potential due to electric and magnetic monopoles and dipoles, electric and magnetic dipoles, fields at long and short distances.
- 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.
- 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.
- Vector potential, applications of Ampere’s law, multipole expansion of the vector potential.
- 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

**Recommended texts:**

*Introduction to Electrodynamics*, by David J. Griffiths, publisher: Prentice-Hall; 3rd Edition, (1999).*Electromagnetic Fields and Waves*, by Paul Lorrain and Dale R. Corson, publisher: S. K. Jain for CBS publishers; 2nd Edition, (2003).