The electrostatic potential inside a charged spherical ball is given by ϕ = ar2 + b where r is the distance from the centre and a, b are constant. Then the charge density inside the ball is

(ε0 = Pemittivity in free space)

1
-6aε0r
2
-4aε0
3
-24πaε0
4
-24πaε0r

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