Deduce Coulomb’s law from Gauss law.
Deduce Coulomb’s law from Gauss law.

To deduce coulomb’s law from Gaussis theorem: Consider that two point charge  q1 and  q2 are placed at point A and B at a distance r apart in vacuum. Let E is magnitude of electric field at the location of point charge q2 due to charge q2  Then force experienced by the point charge q2 due to electric field of charge q1.

F = q2E

To find E, draw a spherical surface of radius r with point as the centre. According to Gauss theorem, the total electric flux.

It is the mathematical from of Coulomb’s law in electrostatics.