## Exercises to Electrodynamics |

- 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

- 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

- 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

- Capacity
- Magnetostatics
- Induction, inductivity
- Maxwell equations, waves
- Dielectric and magnetic media
- Light propagation
- Theory of special relativity