Question

Deduce coulombs law from gauss theorem



give me answer Please​

Answer 1

Answer:

hey here is your answer

To derive Coulomb's Law from gauss law or to find the intensity of electric field due to a point charge +q at any point in space using Gauss's law ,draw a Gaussian sphere of radius r at the centre of which charge +q is located

hope it help you

Answer 2

Coulomb's law can be derived from Gauss' law by following the given steps:

• Construct a Gaussian spherical surface of radius r and the charge q located at its centre.
• Let electric field at this surface be E .The magnitude of electric field will be same for all points on the surface and it will be directed along the outward normal as the system is symmetric.
• So, ∫E.ds simplifies to E.s = E.(4πr²)
• Now, using Gauss law , ∫E.ds = q(enclosed)/ξ

                                             ⇒E(4πr²) = q/ξ

                                             ⇒E = q/(4πξr²) (Which is the coulomb's law)