An electric field is given by $(6\hat{\mathrm{i}}+5\hat{\mathrm{j}}+3\hat{\mathrm{k}}) \mathrm{N} {\mathrm{C}}^{-1}$. The electric flux through a surface area $30\hat{\mathrm{i}} {\mathrm{m}}^2$ lying in YZ-plane(in SI unit) is:

The black shapes in the figure below are closed surfaces. The electric field lines are in red. For which case, the net flux through the surfaces is non-zero?

A charge $q$ is placed at one corner of a cube as shown in figure. The flux of electrostatic field $\overrightarrow{E}$ through the shaded area is:

Choose the correct alternative $\left(1\right)$, $\left(2\right)$, $\left(3\right)$ or $\left(4\right)$ for each of the questions given below$:$

A closed surface in vacuum encloses charges $-\mathrm{q}$ and $+3\mathrm{q}$. The total electric flux emerging out of the surface is$:$

If the point charge is  moved to a distance $d$ from the centre of the square and the side of the square is doubled, explain how the electric flux will be affected.

$S_1$ and $S_2$ are two parallel concentric spheres enclosing charges $Q$ and $2 Q$ respectively as shown in the figure below. What is the ratio of electric flux through $S_1$ and $S_2$?

A point charge $q$ is placed at the corner of a cube of side $a$ as shown in the figure. What is the electric flux through the face $ABCD$ ?