Biró Tamás Sándor's

(http://www.rmki.kfki.hu/~tsbiro, tsbiro@sunserv.kfki.hu)

           

    Exercises to Electrodynamics

           

Abstract:

1. Review of vector calculus
   • differential forms in three dimensions
   • duality and Cartan derivative
   • grad, div, rot
   • Gauss theorem, Stokes theorem and like
   • Cartesian, cylindrical and spherical basis
2. Charge, electrostatic field and potential, energy
   • Gauss' law (differential and integrated forms)
   • Energy, potential as Lagrange multiplier
   • Uniformly charged sphere
   • Uniformly charged very long cylinder
   • Stability of a cube of point charges
3. Static multicharge systems
   • Monopole, dipole, quadrupole
   • Forces acting on a dipole
   • Potential of a uniformly charged ring
   • Mirror charges due to a conducting plane
   • Mirror charges due to two cylinders
4. Capacity
5. Magnetostatics
6. Induction, inductivity
7. Maxwell equations, waves
8. Dielectric and magnetic media
9. Light propagation
10. Theory of special relativity