Electric Charges and Fields Quiz-3

A charge $q$ is placed at the centre of a cube. The electric flux through one of its faces is

The electric field inside a thin spherical shell of radius $R$ and uniform surface charge density $\sigma$ is

Due to the presence of a point charge at the centre of a spherical Gaussian surface of diameter $a$, $10^6 Nm^2/C$ ammount of electric flux passes through it. Keeping the point charge at the centre, the Gaussian surface is replaced by a cubical Gaussian surface with side $a$. The flux through the new Gaussian surface will be

The dimension of electric flux is

The electric field intensity near a uniformly charged infinite plane thin non-conducting sheet with charge density $+\sigma$ placed in air is