The electric field due to a uniformly charged | vedclass

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(B) For a uniformly charged sphere of radius $R$ with volume charge density $\rho$:$1$. Inside the sphere $(r < R)$,the electric field is given by $E_

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(B) For a uniformly charged sphere of radius $R$ with volume charge density $\rho$:$1$. Inside the sphere $(r $2$. Outside the sphere $(r \ge R)$,the electric field is given by $E_{outside} = \frac{\rho R^3}{3\varepsilon_0 r^2}$. This shows that $E \propto \frac{1}{r^2}$,which is an inverse-square relationship.$3$. Combining these,the graph starts from the origin,increases linearly until $r = R$,and then decreases following an inverse-square curve for $r > R$. This corresponds to the graph shown in option $B$.

The electric field due to a uniformly charged sphere of radius $R$ as a function of the distance $r$ from its centre is represented graphically by

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