The electric field due to an infinite plane sheet of charge is independent of distance of point from the sheet. Applying the principle of superposition of electric field, the total electric field at P due to various plane sheets of charge will be
$\vec{E}_{p}=\frac{\sigma}{2\varepsilon _{0} }\left(-\hat{k}\right)+\frac{2 \sigma }{2\varepsilon_{0}}\left(-\hat{k}\right)+\frac{\sigma }{2\varepsilon_{0}}\left(-\hat{k}\right)=-\frac{2\sigma }{\varepsilon_{0}}\hat{k}$
Gauss law states that the total amount of electric flux passing through any closed surface is directly proportional to the enclosed electric charge.
Gauss Law:
According to the Gauss law, the total flux linked with a closed surface is 1/ε0 times the charge enclosed by the closed surface.
For example, a point charge q is placed inside a cube of edge ‘a’. Now as per Gauss law, the flux through each face of the cube is q/6ε0.
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;
