Question

derive coulomb's law from maxwell equation

Answer 1

Answer:-

It is shown that the traditional methods used to derive Maxwell's equations and the boundary conditions from Coulomb's law are mathematically unsound. One widely used line of argument fails as a proof because it depends on the unwarranted extension of Maxwell's equations in integral form from the case of N point charges to that of continuous volume and surface distributions of charge. The other most frequently presented argument fails because it rests on unwarranted differentiations of improper integrals and the application of Gauss' and Stokes' theorems to situations in which the standard proofs of these theorems do not hold. An alternative elementary approach is presented.