Problem 3 (25 points, 5 points each part) This problem consists of five short answer questions. It should only take one or two lines to answer each question. 02 =-15 C/m 2 A 6, =5 C/m 2 "; =10 C/m 2 (D) 2 3 4 - -- -- - -- -> x (m) 16' (a) The figure above shows three infinite charged sheets parallel to the yz axis which divide space into four regions. The charged sheet at x = 4 m has charge density 01 = +5C/m , the sheet at x = 8 m has charge density 02 = -15C/m, and the sheet at x = 12 m has charge density 03 = +10C/m. What are the magnitude and direction of the electric field, E, at x = 10 m? (You may leave go in symbolic form if you wish, but make sure to include the units in your answer). (b) An infinitely long cylindrical distribution of charge has a uniform volume charge density of p = 27 C/m', and a radius of 2 m. What is the linear charge density, A of the cylinder