# What is gauss's law?explain

1
by aron53

2015-06-19T00:58:36+05:30

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The flux passing through a closed three dimensional surface is equal to the electrostatic charge divided by ε (electric permittivity of the medium).

Application:

For a point charge Q, we want to find the electric field intensity at a distance d.

We imagine a spherical closed surface of radius d around the point charge Q (placed at the center).  Then we apply Gauss' law of electrostatics.  We find the surface integral.   From symmetry of the sphere, electric field strength E is same all around on the surface.  The angle between the surface and electric field is 0⁰ and same all over the surface.  Both point along the radius.

Φ = E * 4π d² =  Q / ε₀

=>  E = 1/(4πε₀) * Q / d²

we know this formula already, which is derived  from Coulomb's law.

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