1. The problem statement, all variables and given/known data A cylinder of length L and radius R is centered on the z-axis in a region where there is a uniform electric field of E i. Determine the flux for the fourth of the cylindrical surface where x > 0 and y > 0. 2. Relevant equations [tex]\phi = \int E dS[/tex] 3. The attempt at a solution I believe I have the sketch drawn as the problem states. If you were to take the entire surface, you'd see: [tex]\phi = \int E dS[/tex] [tex]\phi = E \int dS[/tex] [tex]\phi = E (2\pi RL)[/tex] [tex]\phi = 2E\pi RL[/tex] I'm confused though. Wouldn't a Guassian surface, such as the cylinder, ultimately have zero flux in the above Electric Field? I don't know how to progress using Gauss's Law to cut this into a fourth. I don't see how I can use symmetry to develop a method to use the law.