Gauss’s law is true only if force due to a charge varies as
${r^{ - 1}}$
${r^{ - 2}}$
${r^{ - 3}}$
${r^{ - 4}}$
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
An uncharged sphere of metal is placed in between two charged plates as shown. The lines of force look like
An infinite, uniformly charged sheet with surface charge density $\sigma$ cuts through a spherical Gaussian surface of radius $R$ at a distance $x$ from its center, as shown in the figure. The electric flux $\Phi $ through the Gaussian surface is
Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is $8.0 \times 10^{3} \;Nm ^{2} / C .$
$(a)$ What is the net charge inside the box?
$(b)$ If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?
The spatial distribution of the electric field due to charges $(A, B)$ is shown in figure. Which one of the following statements is correct