The electrostatic potential $ϕ_{r}$ of a spherical symmetrical system kept at origin, is shown in the adjacent figure, and given as
$ϕ_{r} = \frac{q}{4 π ε_{O} r} (r \geq R_{O}), ϕ_{r} = \frac{q}{4 π ε_{O} R_{O}} (r \leq R_{O})$
Which of the following option is incorrect?

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Electric field is maximum at $r = R_{0} .$

Within $r = 2 R_{0}$ , total charge is q/2.

There will be no charge anywhere except at $r = R$

For spherical region $r \leq R_{0}$ total electrostatic energy stored is zero.

answer is B.

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Detailed Solution

Total charge is independent of r. Hence, option 2 is incorrect.

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