An infinitely long, straight, charged, cylindrical shell has radius R and positive surface charge density θ > 0 spread uniformity on surface of the cylinder at r = R, where r is distance from the center of the rod (θ has units of C/m²) Express your answers to the following only in terms of the given variables as well as any relevant fundamental constants. Using Gauss law, compute the magnitude of the electric field for all locations r > R (ie outside the shell of charge) Partial credit will be awarded fro correct choice of gaussian surface and for correctly inferring how the electric field vector varies with a power of r.