Charge is uniformly distributed with a density of 100.0 +C/m3 throughout the volume of a cube 10.00 cm on each edge.
(a) Find the electric potential at a distance of 5.000 cm from the center of one face of the cube, measured along a perpendicular to the face. Determine the potential to four significant digits. Use a numerical method that divides the cube into a sufficient number of smaller cubes, treated as point charges. Symmetry considerations will reduce the number of actual calculations.
(b) What If? If the charge on the cube is redistributed into a uniform sphere of charge with the same center, by how much does the potential change?