Electrostatics 2 Question 20
21. For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram. Given that
(2006, 5M)
$$ V=\frac{q}{4 \pi \varepsilon _0 R _0} \text { for } r \leq R _0 \text { and } V=\frac{q}{4 \pi \varepsilon _0 r} \text { for } r \geq R _0 $$
Then, which option(s) are correct
(a) Total charge within $2 R _0$ is $q$
(b) Total electrostatic energy for $r \leq R _0$ is zero
(c) At $r=R _0$ electric field is discontinuous
(d) There will be no charge anywhere except at $r=R _0$
Fill in the Blanks
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Solution:
- The given graph is of charged conducting sphere of radius $R _0$. The whole charge $q$ distributes on the surface of the sphere.