How do you calculate the coulombs law from the gauss theorem?
Gauss Theorem:
Where an electric field passes through a certain area . The total amount of charge. the permittivity of the vacuum.
Derivation of coulomb inverse square law:
Therefore, the angle between the electric field and area element is .
Integrate the area element
The charge-induced electric field is constant
We obtain the Gauss theorem using this,
Hence, this is necessary for Coulomb's law discovered by applying the Gauss theorem.