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 $n$

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:

The black shapes in the figure below are closed surfaces. The electric field lines are in red. For which case, the net flux through the surfaces is non-zero?

Choose the correct alternative $\left(1\right)$, $\left(2\right)$, $\left(3\right)$ or $\left(4\right)$ for each of the questions given below$:$

A closed surface in vacuum encloses charges $-\mathrm{q}$ and $+3\mathrm{q}$. The total electric flux emerging out of the surface 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.

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

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?