Material of the course:
1. Review of vector fields: The mathematical tools, Integral and differential vector operations, Divergence and Stock’s theorems, delta-function.
2. Introduction to Electrostatics: Coulomb’s law and forces, Electric field and potentials, Gauss’s law, Electrostatic energy, conductors and capacitors.
3. Boundary – Value Problems in Electrostatics: Solution of linear, second-order differential equations for the potential, V, Laplace’s and Poisson’s equations subject to certain boundary conditions, solution techniques.
4. Electrostatic fields in Matter: Theory of electrostatic fields and potentials in dielectrics, electric multi-pole moments.
5. Magnetostatics: Lorentz force law and Biot-Savart law, Theory of magnetic field from current distribution.
6. Magnetic fields in Matter: Magnetization, the field of magnetized object, the H-field and generalization of Ampere’s law, linear and non-linear media.