Final answer:
The question pertains to finding the electric field both inside and outside an infinite slab with uniform volume charge density, using Gauss's Law and the concept of a Gaussian surface.
Step-by-step explanation:
The question is seeking to determine the electric field produced by a uniform volume charge density within an infinite slab. To answer this question, one must use Gauss's Law, which relates the electric field to the charge distribution it is surrounded by. The electric field inside the slab can be found by considering a cylindrical Gaussian surface perpendicular to the charge distribution and applying the equation for electric field due to a uniformly charged infinite slab. The same approach can be taken to find the electric field outside the slab, although it should be noted that the electric field outside the slab is due to the entire slab and therefore does not change with distance outside of the slab.