A charge $q$ is located at the centre of a cube. The electric flux through any face is
$\frac{{4\pi q}}{{6(4\pi {\varepsilon _0})}}$
$\frac{{\pi q}}{{6(4\pi {\varepsilon _0})}}$
$\frac{q}{{6(4\pi {\varepsilon _0})}}$
$\frac{{2\pi q}}{{6(4\pi {\varepsilon _0})}}$
In finding the electric field using Gauss Law the formula $|\overrightarrow{\mathrm{E}}|=\frac{q_{\mathrm{enc}}}{\varepsilon_{0}|\mathrm{A}|}$ is applicable. In the formula $\varepsilon_{0}$ is permittivity of free space, $A$ is the area of Gaussian surface and $q_{enc}$ is charge enclosed by the Gaussian surface. The equation can be used in which of the following situation?
Give characteristics of electric field lines.
Gauss's law can help in easy calculation of electric field due to
A charge $Q$ is situated at the comer of a cube, the electric flux passed through all the six faces of the cube is
The electric field components in Figure are $E_{x}=\alpha x^{1 / 2}, E_{y}=E_{z}=0,$ in which $\alpha=800 \;N / C\, m ^{1 / 2} .$ Calculate
$(a)$ the flux through the cube, and
$(b)$ the charge within the cube. Assume that $a=0.1 \;m$