An uncharged sphere of metal is placed in between two charged plates as shown. The lines of force appear as :-

Consider a conducting spherical shell of radius R with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $\left|\overrightarrow{\mathrm{E}}\right(\mathrm{r}\left)\right|$ and the electric potential V(r) with the distance r from the centre, is best represented by the graph (Here dotted line represents potential curve and bold line represents electric field curve) :-

A square surface of side $L$ metres is in the plane of the paper. A uniform electric field $E$ (volt/m), also in the plane of the paper, is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is:

The spatial distribution of the electric field lines due to charges $\left(A,B\right)$ is shown in figure. Which one of the following statements is correct?

A hollow cylinder has a charge $q$ coulombs located within it symmetrically. If $\varphi$ is the electric flux in units of volt-meter associated with the curved surface $B$, the flux linked with the plane surface A in units of volt-meters will be:

The electric potential at a point $\left(x,y,z\right)$ is given by:

$V=-x^{2}y-x{z}^3+4$

The electric field $\overrightarrow{E}$ at that point is: