Chapter 22, Problem 22.59P

DATA In one experiment the electric field is measured for points at distances r from a uniform line of charge that has charge per unit length λ and length l, where l >> r. In a second experiment the electric field is measured for points at distances r from the center of a uniformly charged insulating sphere that has volume charge density ρ and radius R = 8.00 mm, where r > R. The results of the two measurements are listed in the table, but you aren’t told which set of data applies to which experiment:

For each set of data, draw two graphs:     one for Er² versus r and one for Er versus r. (a) Use these graphs to determine which data set, A or B, is for the uniform line of charge and which set is for the uniformly charged sphere. Explain your reasoning. (b) Use the graphs in part (a) to calculate λ for the uniform line of charge and ρ for the uniformly charged sphere.