Finding electric potential of a sphere with a given volume charge density

[citra]

Homework Statement

the volume charge density Pe= Po (1- (r^2/r0^2))
the sphere has a radius of r0
and r is measured from the center
for a point P inside the sphere (r<r0), determine the electric potential V if V=0 at infinity

Homework Equations

E= Qencl/ eps0*A= kQ/r^2
Qencl= int(Pe*4pir^2) dr
-int(E)= V

The Attempt at a Solution

first i found Qencl and evaluated it from 0 to r.
Qencl= 4pi*p0 (r^3/ 3 - r^5/5r0^2)
Then E= Po/eps0 ((r/3)- r^3/ 5r0^2)
then the -integral of E= V= p0/eps0 ( (r^2/ 6) - (r^4/20r0^2) - (7r02/60))
but this is the worng answer..any help?

 

[rl.bhat]

Hi citra, welcome to PF.
You have given volume charge density. But it does not appear correct. Can you check it.