1. The problem statement, all variables and given/known data In a certain region of space, the electric field E/vec is uniform. Why is the charge density in this region zero? Assume in a region of space where there is no charge, must E/vec be uniform? 2. Relevant equations Gauss's Law 3. The attempt at a solution I don't really know why a uniform electric field makes the charge density zero... The only thing that I know I could do would be to make this "area" so large (to infinity) that the resulting density would be zero. Can anyone explain to me why?