A solid sphere of radius R has a charge Q distributed in its volume with a charge density 
, where k and a are constants and r is the distance from its center.
If the electric field at 
is 
times that at 
, find the value of a.
Text Solution
Verified by Experts2
(2)
Let us consider a spherical shell of radius x and thickness dx. The volume of this shell is 
. The charge enclosed in this spherical shell is
For 
:
The total charge enclosed in the sphere of radius R is
The electric field at 
is
For 
:
The total charge enclosed in the sphere of radius R/2 is
The electric field at 
is
Given, 
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