Flux of Electric Field

The SI unit of electrical flux is:

An infinitely long line charge having linear charge density $\lambda$ lies at a distance $d$ from center of an imaginary sphere of radius $R$. Then

Three uniformly charged infinite wires with linear charge density $\lambda$ are placed along $x, y$ and $z$ axis respectively. Find the flux of electric field through Gaussian surface given by $x^2+y^2+z^2=1:x>0;y>0;z>0$ If your answer is $\frac{n\lambda }{12{ϵ}_0}$  fill the value of $n$

The electric field in the space is given by $\overrightarrow{\mathrm{E}}={\mathrm{E}}_0\left(\mathrm{xi}\hat{\mathrm{i}}+\mathrm{y}\hat{\mathrm{j}}+\mathrm{zk}\right)$. Consider a right circular cylindrical surface whose radius is '$a$' and height '$h$', as shown in the figure. Now choose the CORRECT option(s).

A cylinder of radius $R$ and length $L$ is placed in a uniform electric field $E$ parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

Figure shows, in cross section, two Gaussian spheres and two Gaussian cubes that are centered on a positively charged particle. Select the correct alternatives.

In the figure, a hemispherical bowl of radius $R$ is shown. Electric field of intensity $E$ is represented in each situation by direction lines.

A positive point charge $Q$is placed (on the axis of the disc) at a distance of $4R$above the center of a disc of radius $R$as shown in situation $I.$The magnitude of electric flux through the disc is $\varphi .$Now, a hemispherical shell of a radius $R$is placed over the disc such that it forms a closed surface as shown in situation $\mathrm{II}.$The flux through the curved surface in the situation $\mathrm{II}$ taking direction of area vector along outward normal as positive is

The flux entering and leaving a closed surface $are 400 {\mathrm{Nm}}^2/\mathrm{C}$ and $800 {\mathrm{Nm}}^2/\mathrm{C}$ respectively. Net charge enclosed by this surface in $\mathrm{nC}$ is 

In a region of space having a spherically symmetric distribution of charge, the electric flux enclosed by a concentric spherical Gaussian surface varies with a radius $r$ as 
$\mathrm{\varphi }=\left\{\begin{array}{ll}\frac{{\mathrm{\varphi }}_0{r}^2}{R^3},& r\le R\\ {\mathrm{\varphi }}_0,& r>R\end{array}\right.$ where $R$ and ${\mathrm{\varphi }}_0$ are the constants.

The electric field strength in the region is given as, 

Which one is the SI unit of electric flux

A large uniformly charged sheet having a surface charge density of $5\times {10}^{-16} \mathrm{C}/{\mathrm{m}}^2$ lies in $\mathrm{X}-\mathrm{Y}$ plane. Calculate the electric flux through a circular loop of radius $0.1 \mathrm{m},$ whose axis makes on angle of $60°$ with $Z$ axis.

Consider a cube of side $a$. Let a charge $q$ be placed at centre. Calculate the total flux linked with cube and flux linked with each face.

Explain the term electric flux. Write its SI unit and dimensions.

When does the electric flux through an area element placed in an electric field $\overrightarrow{\mathit{E}}$ is zero ?

A square in a horizontal orientation is situated in a uniform horizontal electric field such that a line drawn in the plane of square makes angle of ${30}^0$ with electric field. If side of square is $a$ then flux through the square will be 

$400$ lines of force (M.K.S. unit) are entering (M.K.S.units) inwards while $200$ lines of force (M.K.S. unit) going outwards from the surface then the total value of charge confined to the surface will be

How much flux crosses the square plate if a point charge $\mathrm{Q}$ is placed at the corner of the plate as shown in the figure?

The net flux passing through the surface of an imaginary cube of edge length $\mathrm{a}$ placed in space having a uniform volume charge density, is $\mathrm{\varphi }$. The net flux passing through the surface of an imaginary sphere of radius $\mathrm{a}$ in the same space is