Consider a thin spherical shell of radius $R$ with centre at the origin, carrying uniform positive surface…
Consider a thin spherical shell of radius $R$ with centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\vec{E}(r)|$ and the electric potential $V(r)$ with the distance $r$ from the centre, is best represented by which graph?
Solution
For a thin uniformly positive charged spherical shell
(i) Inside the shell at any point
$E=O$ and $V=\frac{1}{4 \pi \in_{0}} \quad \frac{q}{R}=$ constt.
where $q=$ charge on sphere
$R=$ Radius of sphere
(ii) Outside the shell at any point at any distance $r$ from
the centre $E \propto \frac{1}{r^{2}}$ and $V \propto \frac{1}{r}$
