Question 295: Electrostatics & Capacitance

Question

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $$\mathrm{R}$$, with distance $$r$$ from the centre O is represented by:

Accepted Answer

Electric field due to the uniformly charged solid sphere is given by
$$
\begin{array}{ll}
\mathrm{E}=\frac{\mathrm{Q}}{4 \pi \varepsilon_0 r^2} \quad r \geq \mathrm{R} \\
\& & \\
\mathrm{E}=\frac{\mathrm{Q} r}{4 \pi \varepsilon_0 \mathrm{R}^3} \quad r \leq \mathrm{R}
\end{array}
$$
Therefore $\mathrm{E} \propto \mathrm{r}$ when
$\mathrm{r} \leq \mathrm{R}$ and $\mathrm{E} \propto \frac{1}{r^2}$ when $r \geq \mathrm{R}$
So

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Answer

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Electrostatics & Capacitance

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $\mathrm{R}, with distance r$ from the centre O is represented by:

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