The electric field due to a uniformly charged | vedclass

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Question

(b) ${E_{inside}} = \frac{\rho }{{3{\varepsilon _0}}}r$ $(r < R)$
${E_{outside}} = \frac{{\rho {R^3}}}{{3{\varepsilon _0}{r^2}}}$$(r \ge R)$
i.e.

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Vedclass · Answer

(b) ${E_{inside}} = \frac{\rho }{{3{\varepsilon _0}}}r$ $(r < R)$
${E_{outside}} = \frac{{\rho {R^3}}}{{3{\varepsilon _0}{r^2}}}$$(r \ge R)$
i.e. inside the uniformly charged sphere field varies linearly $(E \propto r)$ with distance and outside varies according to $E \propto \frac{1}{{{r^2}}}$

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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