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  4. An isolated sphere of radius R contains uniform volume distribution of positive charge. Which of the curve shown below, correctly illustrate s the dependence of the magnitude of the electric field of the sphere as a function of the distance r from its centre? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/5c21f3359d7d0473a10e28ac9a33ffdf-.jpeg />

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Q. An isolated sphere of radius $R$ contains uniform volume distribution of positive charge. Which of the curve shown below, correctly illustrate s the dependence of the magnitude of the electric field of the sphere as a function of the distance $r$ from its centre?
image

KVPYKVPY 2011

Solution:

Electric field $E$ of a solid sphere varies with distance from centre $r$ as
$E= \begin{cases}C_{1} \cdot r, & r<0 \\ \frac{C_{2}}{r^{2}}, & r \geq 0\end{cases}$
where, $C_{1}$ and $C_{2}$ are constants. So, correct graph of $E$ versus $r$ is
image