In one experiment the electric field is measured for

Chapter 22, Problem 22.59

(choose chapter or problem)

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 l and length l, where l W 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 r and radius R = 8.00 mm, where r 7 R. The results of the two measurements are listed in the table, but you arent told which set of data applies to which experiment: r 1cm2 1.00 1.50 2.00 2.50 3.00 3.50 4.00 Measure ment A E 1105 N>C2 2.72 1.79 1.34 1.07 0.902 0.770 0.677 Measure ment B E 1105 N>C2 5.45 2.42 1.34 0.861 0.605 0.443 0.335 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 l for the uniform line of charge and r for the uniformly charged sphere.