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## Homework Statement

41. A solid nonconducting spere of radius R has a uniform charge distribution of volume charge density p = kr/R where k is constant and r is the distance from the center. Show the (a) the total charge on the sphere is Q = pikR^3. (I did this, it's fine) and (b) that

E = (1/(4piEo)(Q0R^4)(r^2) gives the magnitude of the electric field inside the sphere.

## The Attempt at a Solution

41. For 41 (b) I tried to set up an integral. I new that Q = pV

Thus: Q = (kr/R)(4/3)(pi)(r^2) = [4kr^3(pi)}/[3R]

Because the gaussian surface is spherically symmetric

E = Q/(Eo*A) E = {[4kr^3(pi)}/[3R]} / (Eo*(4(pi)r^2)

This reduces to (kr)/(3EoR)

My proof seems to work alright, but it's not what the book asks you to find.