In a certain region of space, the electric field is uniform. (a) Use Gauss’s law to pro...

In a certain region of space, the electric field is uniform. (a) Use Gauss’s law to prove that this region of space must be electrically neutral; that is, the volume charge density ρ must be zero. (b) Is the converse true? That is, in a region of space where there is no charge, must be uniform? Explain.