The inward and outward electric flux for a closed surface in units of $N{\rm{ - }}{m^2}/C$ are respectively $8 \times {10^3}$ and $4 \times {10^3}.$ Then the total charge inside the surface is [where ${\varepsilon _0} = $ permittivity constant]
$4 \times {10^3}$ $C$
$ - 4 \times {10^3}$ $C$
$\frac{{( - 4 \times {{10}^3})}}{\varepsilon }$ $C$
$ - 4 \times {10^3}{\varepsilon _0}$ $C$
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 $a=0.1 \;m$
Is electric flux scalar or vector ?
Three positive charges of equal value $q$ are placed at vertices of an equilateral triangle. The resulting lines of force should be sketched as in
The electric field intensity at $P$ and $Q$, in the shown arrangement, are in the ratio
Consider an electric field $\vec{E}=E_0 \hat{x}$, where $E_0$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is