State and prove ** Gauss Theorem **.

### Deriving Gauss's law from Coulomb's law

Gauss's law can be derived from Coulomb's law, which states that the electric field due to a stationary point charge is:

where

**e**is the radial unit vector,_{r}*r*is the radius, |**r**|,- is the electric constant,
*q*is the charge of the particle, which is assumed to be located at the origin.

Using the expression from Coulomb's law, we get the total field at **r** by using an integral to sum the field at **r** due to the infinitesimal charge at each other point **s** in space, to give

where ρ is the charge density. If we take the divergence of both sides of this equation with respect to **r**, and use the known theorem^{[5]}