Total Points:- Name (please print) last (first) 3) [40 points] A small section o
ID: 1661223 • Letter: T
Question
Total Points:- Name (please print) last (first) 3) [40 points] A small section of an infinitely long charge distribution is shown at right. A line charge of linear charge density Mine-1.5 nC/m is at the center. It is surrounded by an inner cylinder is made from insulating material, which has a radius of 1.5 cm, and has a volume charge density given by Pirner. The outer cylindrical shell is made of a conducting material, of inner radius 5 cm and outer radius 6 cm. The outer cylindrical shell has an overall charge per unit length given by uter =-2.5 nC/m. a. Suppose the inner cylinder had a uniform charge density of Pinner 2.8 C/m3 (Note the prefix). Using Gauss' Law, Find an expression for the electric field at any distance r from the center. b. Find the charge per unit length on the inner and outer surfaces of the conducting cylinder. c. Attach a graph of the electric flux as a function of distance and the electric field as a function of distance (www.desmos.com has a very nice online graphing program, see its help section to find out how to restrict the domain of your graph so you can graph piecewise functions.) d. Suppose the insulator in the inner shell was defective, and was produced with a non-uniform charge density (but still cylindrically symmetric..) Would the electric fields in each of the various regions be affected? Would they change or remain the same? Explain your answer using Gauss' Law. (No calculations are needed here, just explain your answer.) e. Suppose the outer conducting shell were grounded. How would the electric fields in the various regions and the charge per unit length on the inner and outer surfaces of the conducting cylinder be affected? Would they change or remain the same? Explain your answer using Gauss' Law.Explanation / Answer
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