Electric Flux

The SI unit of electrical flux is:

If $\underset{S}{\oint } \overrightarrow{E}·d\overrightarrow{S}=0$ over a surface, then:

A uniform electric field is applied parallel to the base of a regular circular cone pyramid as shown. The flux through the curved surface is

Coordinates of a square are given as $(1, 1, 0) \mathrm{m},$ $(1,1,0) \mathrm{m}$ $(-1,-1, 0) \mathrm{m}$, $(1,-1,0) \mathrm{m}$. If electric field is $10 \mathrm{V} {\mathrm{m}}^{-1}$ along z-axis, electric flux through square is 

The image below shows two examples of electric field lines.

Which of the following statements is true?

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

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

Area vector is a vector quantity associated with each plane figure whose magnitude is

A circular plate sheet of radius $10 \mathrm{cm}$ is placed in a uniform electric field of $2\sqrt{3}\times {10}^5 \mathrm{N} {\mathrm{C}}^{-1},$ making an angle of $60°$ with the field. Then find the electric flux through the sheet.

The $\mathrm{ }\mathrm{S}\mathrm{I}$ unit of electric flux is:

The $\mathrm{ }\mathrm{S}\mathrm{I}$ unit of electric flux is:

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

The electric field in a region is given by $\overrightarrow{E}=\left(\frac{3}{5}{E}_0\hat{\mathrm{i}}+\frac{4}{5}{E}_0\hat{\mathrm{j}}\right) \mathrm{N} {\mathrm{C}}^{-1}$ The ratio of flux of reported field through the rectangular surface of area $0.2 {\mathrm{m}}^2$ (parallel to $\mathrm{y}-\mathrm{z}$ plane) to that of the surface of area $0.3 {\mathrm{m}}^2($parallel to $\mathrm{x}-\mathrm{z}$ plane ) is $a:b,$ find $a$.

[Here $\hat{\mathrm{i}},\hat{\mathrm{j}}$ and $\hat{\mathrm{k}}$ are unit vectors along $\mathrm{x},\mathrm{y}$ and $\mathrm{z}$-axes respectively]

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