The electric field at point $O$, due to the segment of a ring, whose linear charge density is $8 \mathrm{C} {\mathrm{cm}}^{–1}$ is $n\times {10}^{13} \mathrm{V} {\mathrm{m}}^{–1}.$ The value of $n$ is _____.

The magnitude of dipole moment of the following system is $\sqrt{n}qa$. The value of $n$ is _____.

Consider an electric field $\overrightarrow{E}=E_0\hat{x}$, where $E_0$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is $n{E}_0{a}^2.$ The value of $n$ is _____.

A disk of radius $\frac{a}{4}$ having a uniformly distributed charge $6\mathrm{C}$ is placed in the x-y plane with its centre at $(–\frac{a}{2}, 0, 0).$A rod of length a carrying a uniformly distributed charge $8\mathrm{C}$ is placed on the x-axis from $x=\frac{a}{4}\text{ to} x=\frac{5a}{4}$ Two point charges $-7\mathrm{C}$ and $3\mathrm{C}$ are placed at $(\frac{a}{4}, –\frac{a}{4}, 0)$ and $(–\frac{3a}{4}, \frac{3a}{4}, 0),$ respectively. Consider a cubical surface formed by six surfaces $x=\pm \frac{a}{4}, y=\pm \frac{a}{4}, z=\pm \frac{a}{4}.$ The electric flux through this cubical surface is 

A point charge $q$ is placed at a normal distance $d$ from one edge of a semi-infinite large plate as shown in figure. Find net electric flux passing through this plate.