Determine the net charge in a region in which the electric field is uniform at all points.

Step-by-step solution

According to Gauss's law, the net electric flux through any closed surface is given by E d A = q_ net ₀ . Since the electric field E is uniform at all points in the region, it is a constant vector. The net flux through any closed surface in this region is E d A . For any closed surface, the vector sum of the area elements is zero, i.e., d A = 0 . Thus, the net flux is zero, which implies q_ net = 0 . Alternatively, using the differential form of Gauss's law, E = ₀ . Since E is constant, its divergence is zero, givi