Lecturer: M. Fabbrichesi , SISSA

4. Gauss's law

**Contents of this lecture: **

- Integral and differential forms of Gauss's law [Jackson, Sec. 1.3 and 1.4].

- Stokes's theorem for the electric field.

- Brief introduction to the Ohm's law.

- Applications of the Gauss's law: Electric field generated by a wire (linear charge),

by a sheet of charge and by a plane capacitor.

- Potential generated by N point-like charges.

- Poisson's equation [Jackson, Sec. 1.7].

- Energy density of the electric field [Jackson, Sec. 1.11].