How correct is "deriving" Coulomb's Law from Gauss's Law 1. The problem statement, all variables and given/known data Here is a question that appeared in my school question paper: "Derive Coulomb's Law from Gauss's Law." 2. The attempt at a solution I tried the following: Consider a Gaussian Sphere or radius $r$ By Gass's law,the surface integral ∫E.dA=q/ε implies (4pi r^2) E =q/ε. Solving for E, we get an expression for E which looks like Gauss's law. However, I feel something is not right here.I would appreciate of someone please told me where I am going wrong. (My course is not rigorous so I apologise in advance for lack of knowledge) Thank you.