A spherically symmetric charge distribution is characterised by a charge density having the following variation: ρ(r)=ρ_o(1-r/R), for r<R; ρ(r)=0,…

A spherically symmetric charge distribution is characterised by a charge density having the following variation : $$\begin{array}{ll} \rho(r)=\rho_o\left(1-\frac{r}{R}\right) & \text { for } r<R \\ \rho(r)=0 & \text { for } r \geqslant R \end{array} $$ Where $\displaystyle r$ is the distance from the centre of the charge distribution and $\displaystyle \rho_{\mathrm{o}}$ is a constant. The electric field at an internal point $\displaystyle (\mathrm{r}<\mathrm{R})$ is :