Question

derive couloumb's law from gauss's law
class 12th chem

Answer 1

Answer:

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Explanation:

Gauss Law Formula

As per the Gauss theorem, the total charge enclosed in a closed surface is proportional to the total flux enclosed by the surface. Therefore, If ϕ is total flux and ϵ0 is electric constant, the total electric charge Q enclosed by the surface is; Q = ϕ ϵ0. The Gauss law formula is expressed by; ϕ = Q/ϵ ...

Answer 2

In order to derive Coulomb's Law from Gauss's Law, we must first choose our Gaussian surface that encloses a stationary point charge. We choose our surface to be a sphere with a radius r in which the charge is located at the center. By the symmetry of the sphere, we see that the electric field on the surface is exactly equal in magnitude (at all locations) and points perpendicularly outward (since the point charge is assumed to be positive). Now that we defined our chosen Gaussian region, we are ready to apply Gauss's Law, which states that the integral of the dot product of the electric field and infinitesimal region along which the field acts is equal to the total charge enclosed by the region divided by the permittivity of free space. If we follow the rest of the steps outlined in the lecture, we will obtain Coulomb's equation for electric fields produced by static electric point charges.