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(D) For a uniformly charged non-conducting sphere of radius $R$ and total charge $Q$:$1$. Inside the sphere $(r < R)$: The electric field is given by

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(D) For a uniformly charged non-conducting sphere of radius $R$ and total charge $Q$:$1$. Inside the sphere $(r $2$. At the surface $(r = R)$: The electric field is maximum,$E_{max} = \frac{kQ}{R^2}$.$3$. Outside the sphere $(r > R)$: The sphere acts as a point charge,so $E = \frac{kQ}{r^2}$. Since $E \propto \frac{1}{r^2}$,the graph follows an inverse-square decay curve.Therefore,the correct graph shows a linear increase up to $r = R$ and an inverse-square decrease for $r > R$,which corresponds to option $D$.

$A$ uniformly charged sphere has a total charge $Q$ and radius $R$. The electric field $E$ is a function of the distance $r$ from the center. Which of the following graphs represents this relationship?

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