A hemispherical bowl of mass $m$ is uniformly charged with charge density $'\sigma '$ . Electric potential due to charge distribution at a point $'A'$ is (which lies at centre of radius as shown).
$\frac{{\sigma R}}{{4{\varepsilon _0}}}$
$\frac{{\sigma R}}{{3{\varepsilon _0}}}$
$\frac{{\sigma R}}{{2{\varepsilon _0}}}$
$\frac{{\sigma R}}{{{\varepsilon _0}}}$
Let $V$ and $E$ are potential and electric field intensity at a point then
A hollow conducting sphere of radius $R$ has a charge $( + Q)$ on its surface. What is the electric potential within the sphere at a distance $r = \frac{R}{3}$ from its centre
A cube of side $b$ has a charge $q$ at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.
Draw a graph for variation of potential $\mathrm{V}$ with distance $\mathrm{r}$ for a point charge $\mathrm{Q}$.
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential