ElectrostaticsHard
Question
A solid sphere of radius R has a volume charge density ρ = ρ0 r2 ( Where ρ0 is a constant and ρ0 is the distance from centre). At a distance x from its centre (for x < R), the electric field is
Options
A.1/x2
B.1/x
C.x3
D.x2
Solution
Lets take a small spherical element of thickness dr.
Electric field at point P due to this element :
dE =
∴ Total electric field :
E =
E =
E =
E =
= 
(x3) ∴ (E ∝ x3)
Electric field at point P due to this element :
dE =
∴ Total electric field :
E =
E =
E =
E =
= (x3) ∴ (E ∝ x3)Create a free account to view solution
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