Question

derive coulomb's law by applying gauss law​

Answer 1

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

Answer 2

We can derive Coulomb's law from Gauss's law, by assuming that the charge is stationary. Consider a spherical Gaussian surface of radius r around the charge.

The electric field intensity is uniform at all points of the sphere. The electric field intensity will be along the outward normal at every point of the sphere. We also take area as a vector, whose direction is along normal to the plane of area.

According to Gausss law,

Now, suppose a charge q0 is placed at a point where the electric field due to the charge q is present, then the force exerted by q on q0 is given by