Use Eq. 2.29 to calculate the potential inside a uniformly

QUESTION:

Problem 28P

Use Eq. 2.29 to calculate the potential inside a uniformly charged solid sphere of radius R and total charge q. Compare your answer to Prob. 2.21.

Reference equation 2.29

Reference prob 2.21

Find the potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V(r ).