In a region in free space, electric flux density is found to be Everywhere else, D = 0. (a...

In a region in free space, electric flux density is found to be

 Everywhere else, D = 0. (a) Using  = ρv, find the volume charge density as a function of position everywhere. (b) Determine the electric flux that passes through the surface defined by z = 0, –a ≤ x ≤ a, –b ≤ y ≤ b. (c) Determine the total charge contained within the region –a ≤ x ≤ a, –b ≤ y < b, –d ≤ z ≤ d. (d) Determine the total charge contained within the region –a ≤ x ≤ a, –b ≤ y ≤ b, 0 ≤ z ≤ 2d.