A positive charge is distributed in a spherical region with charge density \( \rho=\rho_{0} r \)...

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A positive charge is distributed in a spherical region with charge density \( \rho=\rho_{0} r \) for \( r \leq R \) (where \( \rho_{0} \) is a positive constant and \( \mathrm{r} \) is the distance from center). Find out electric potential and electric field at following locations.
(a) At a distance \( \mathrm{r} \) from center inside the sphere.
(b) At a distance \( \mathrm{r} \) from center outside the sphere.
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