An electric charge $q$ is placed at the centre of a cube of side $\alpha $. The electric flux on one of its faces will be
$\frac{q}{{6{\varepsilon _0}}}$
$\frac{q}{{{\varepsilon _0}{a^2}}}$
$\frac{q}{{4\pi {\varepsilon _0}{a^2}}}$
$\frac{q}{{{\varepsilon _0}}}$
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
Two infinite plane parallel sheets separated by a distance $d$ have equal and opposite uniform charge densities $\sigma $. Electric field at a point between the sheets is
If atmospheric electric field is approximately $150 \,volt / m$ and radius of the earth is $6400 \,km$, then the total charge on the earth's surface is .......... coulomb
A charged particle $q$ is placed at the centre $O$ of cube of length $L$ $(A\,B\,C\,D\,E\,F\,G\,H)$. Another same charge $q$ is placed at a distance $L$ from $O$.Then the electric flux through $BGFC$ is
Assertion : Four point charges $q_1,$ $q_2$, $q_3$ and $q_4$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_1$ and $q_2$.
Reason : Electric field at all points on Gaussian surface depends only on charges $q_1$ and $q_2$ .