ElectrostaticsHard

Question

For a spherically symmetrical charge distribution, electric field at a distance r form the centre of sphere is = kr7, where k is a constant. What will be the volume charge density at a distance r from the centre of sphere ?

Options

A.ρ = 9kε0r6
B.ρ = 5kε0r3
C.ρ = 3kε0r4
D.ρ = 9kε0r0

Solution


By using Gauss law ⇒ (E) (4πr2) =
(Note : Check dimensionally thatρ ∝ r6)
(kr7)(4πr6) = ⇒ kε0r9 = ∫ ρr2d

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