A positive charge is distributed in a spherical region with charge density ρ = ρ 0 r for r ≤ R (where ρ 0 is a positive constant and r is the distance from center). Find out electric potential and electric field at following locations.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
; V = 
; V = 
Sol. Given, 
Let a spherical element of thickness dr and radius r (r < R) is considered
Charge inside this sphere q in = 
= 
Electric field at r = 
= 
= 
For potential: — →
V due to inner shell (or charge) = 
and V due to outer charge = 
∴ Total potential = 
+ 
= 
+ 
= 
+ 
= 
When r > R, Electric field = 
= 
= 
and Potential = 
= 
. 
= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems