Consider two infinite concentric hollow cylinders. The internal cylinder has radius R, and the external R2. Assume the internal cylinder is uniformly charged with negative surface density (constant) -o and the external with to (cf. Fig. HA4.3). Assume the overall structure to be neutral. 1) Calculate the field E at any point in space by means of Gauss' theorem. The symmetry arguments are the same as for an infinite straight line; you must show them. [15 points] 2) Calculate the potential difference between the outer and inner cylinder. [25 points] Show all calculations. Itat = 0