An arbitrary surface encloses a dipole. What is the electric flux through this surface?

The electric field in a region of space is given by $\vec{E} = (5\hat{i} + 2\hat{j}) \text{ N/C}$. Calculate the electric flux through a surface of area $2 \text{ m}^2$ lying in the $YZ$-plane.

$A$ solid uncharged conducting sphere has a radius of $3a$ and contains a hollowed spherical region of radius $2a$. $A$ point charge $+Q$ is placed at a position a distance $a$ from the common center of the spheres. What is the magnitude of the electric field at the position $r = 4a$ from the center of the spheres as marked in the figure by $P$? $\left( {k = \frac{1}{{4\pi { \in _0}}}} \right)$

The charge distribution is shown in the figure below. The electric flux through the surface $S$ due to these charges is .........

An electric charge $q$ is placed at the centre of a cube of side $a$. The electric flux through one of its faces will be

The figure shows some of the electric field lines corresponding to an electric field. The figure suggests