Electric field due to a point charge
First, we shall look for the symmetry of the field. Clearly the field is spherically symmetric. If we enclose the charge in a sphere of radius R, the magnitude of electric field will be same at any point on the surface.

By Gauss law,
[
qenc = q]
[
qenc = q]
This is the same result as given by Coulomb's law.
By Gauss law,
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