Statement—
Total Electric flux is 1/ε0 times total electric charge enclosed by the given surface.
Mathematically, Gauss law can be written as
ϕ = q/ε0 where q = total enclosed charge
ε0 = a constant.
Proof—Let us consider a solid sphere of radius r of charge q is placed of its centre. By basic defn of electric flux
Since, electric field vector (∈) and area vector ds are in the same direction Hence angle between them is 0º.
Since electric field is constant. Therefore it is taken away from integration.
