Question

For a given surface the Gauss's law is stated as $\int E.ds=0$. From this we can conclude that :

• A. $E$ is necessarily zero on the surface
• B. $E$ is perpendicular to the surface at every point
• C. the total flux through the surface is zero
• D. the flux is only going out of the surface

Answer 1

The correct option is C the total flux through the surface is zero

The Gauss's law states that the total electric flux coming out from a volume of charges is equal to the charge enclosed times the permittivity of the medium inside the surface.
So if $\int E.ds=0$, it implies that net flux through the surface is zero i.e. there is no charge enclosing that surface.