1. Consider a solid conducting sphere surrounded by a concentric hollowed out sphere with a definite thickness. Let the inner sphere have radius r(0), and the outer shell have an inner radius r(i) and external radius r(x). Place a charge +Q on the inner sphere and a charge -Q on the outer shell. Use Gauss's law to calculate the field strength as a function of distance from the center of the sphere r. Then calculate the potential as a function of r.
2. What kind of circuit element is the object from part 1 like? How would the field between the inner sphere and the outer shell change if one filled the gap between them with water?