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 ?
= 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 = ∫ ρr2dCreate a free account to view solution
View Solution FreeMore Electrostatics Questions
Along the positive direction of x-axis there exists a constant electric field E0. If electric potential at x = 0 is zero...The variation of potential with distance r from a fixed point is shown in Figure. The electric field at r = 5 cm, is :...AB and CD are two large non parallel metallic plates connected to a battery as shown. If σA and σB be charge...Four charges are place at the circumference of a dial clock as sown in figure. If the clock has only hour hand, then the...Point p lies on the axis of a dipole. If the dipole is rotated by 90o anti clock wise, the electric field vector at P wi...