Electricity and Magnetism I

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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.