Problem 3.64

A point charge $q$ is located at a distance $r$ from the centre $O$ of an uncharged conducting spherical layer whose inside and outside radii are equal to $R_{1}$ and $\hat{R}_ {2}$ respectively. Find the potential at the point $O$ if $r<\bar{R}_ {1}$ .

\varphi=\frac{q}{4 \pi \varepsilon_{0}}\left(\frac{1}{r}-\frac{1}{R_{1}}+\frac{1}{R_{2}}\right)

Conductors and Dielectrics in an Electric Field