1. The problem statement, all variables and given/known data A long cylinder carries a volume charge density which is proportional to the distance from the axis, ρv=0.005r. Find the vector electric field inside the cylinder using Gauss’ Law in integral form. 2. Relevant equations ∫E dot dA = Q/ε0 ∫vρv = Qenc 3. The attempt at a solution I first attempted trying to solve for Qenc using ∫vρv = Qenc, however I run to the issue of not know the boundary conditions. If I knew the boundary conditions, I would then set Qenc/ε = EA and solve for E.