Gauss's Law and Its Proof

State and explain Gauss theorem in electrostatics. Apply it to derive an expression for the intensity of the field due to a charged plane lamina.

State and explain Gauss's theorem in electrostatics. Apply this theorem to derive Coulomb's law.

State and prove Gauss's theorem in electrostatics. Apply this theorem to find electric field near a plane sheet of charge.

Figure below shows three point charges $+2\mathrm{q},-\mathrm{q} \& +3\mathrm{q}$. Two charge $+2q \& q$ are enclosed within a surface $S$. What is electric flux due to this configuration through the surface $S$ ?

State Gauss's law of electrostatics.

What is the dimension of permittivity ?

What do you mean by Gaussian surface?

An electric dipole is encolsed within a Gaussian surface. What is the electric flux through that surface ?

The electric field intensity on the surface of a charged spherical conductor of radius $r$ is $E$. Its value at a point $\frac{r}{2}$ from its centre is

A charge $q$ is placed at the centre of an imaginary cubical body. Electric flux through any one of its faces is