Draw a graph for variation of potential $\mathrm{V}$ with distance $\mathrm{r}$ for a point charge $\mathrm{Q}$.
Electrostatic potential of a point charge $\mathrm{V}=\frac{k \mathrm{Q}}{r}$ and electric field $\mathrm{E}=\frac{k \mathrm{Q}}{r^{2}}$ here, $k \mathrm{Q}$ is constant $\therefore \mathrm{V} \propto \frac{1}{r}$ and $\mathrm{E} \propto \frac{1}{r^{2}}$
Equation of electrostatic potential $\mathrm{V}=\frac{k Q}{r}$ shows that if $\mathrm{Q}$ is positive then at all points electrostatic potential is positive and if $Q$ is negative then at all points electrostatic potential is negative.
An electric charge $10^{-6} \mu \mathrm{C}$ is placed at origin $(0,0)$ $\mathrm{m}$ of $\mathrm{X}-\mathrm{Y}$ co-ordinate system. Two points $\mathrm{P}$ and $\mathrm{Q}$ are situated at $(\sqrt{3}, \sqrt{3}) \mathrm{m}$ and $(\sqrt{6}, 0) \mathrm{m}$ respectively. The potential difference between the points $P$ and $Q$ will be :
Two unlike charges of magnitude $q$ are separated by a distance $2d$. The potential at a point midway between them is
Four point charges $-Q, -q, 2q$ and $2Q$ are placed, one at each comer of the square. The relation between $Q$ and $q$ for which the potential at the centre of the square is zero is
Equal charges are given to two spheres of different radii. The potential will
A thin spherical conducting shell of radius $R$ has a charge $q$ . Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is