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 cube is placed inside an electric field, $\overrightarrow{E}=150y^2\hat{\mathrm{j}}$ The side of the cube is $0.5 \mathrm{m}$ and is placed in the field as shown in the given figure. The charge inside the cube is:

A point electric charge $Q$ is placed at a corner of a cube as shown in the figure. What is the electric flux passing through $ABCD$ of the cube? (${\in }_0$ is permittivity of free space)

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 $ABCD$ ?

Choose the incorrect statement:
(a) The electric lines of force entering into a Gaussian surface provide negative flux.
(b) A charge $q$ is placed at the centre of a cube. The flux through all the faces will be the same.
(c) In a uniform electric field net flux through a closed Gaussian surface containing no net charge, is zero.
(d) When an electric field is parallel to a Gaussian surface, it provides a finite non-zero flux.

Choose the most appropriate answer from the options given below:

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:

If a charge $q$ is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be

A point charge of $4.427 \mathrm{\mu C}$ is at the centre of a cubic Gaussian surface $9.0 \mathrm{cm}$ on the edge. Find the net electric flux through the surface.

$\left({\mathrm{\epsilon }}_0=8.854\times {10}^{-12} {\mathrm{C}}^2{\mathrm{N}}^{-1}{\mathrm{m}}^{-2}\right)$

Write the SI unit of electric flux.

A charge $q$ sits at the black corner of a cube as shown in the following figure:

What is the electric flux through the shaded side?