The diameter of the central sphere is 4.0cm, and the diameter of the outer sphere is 16.0cm. The central sphere is charged to a voltage of 9000 volts (at its surface; if it helps, the voltage just barely above its surface is the same as the voltage at its surface). The outer sphere is grounded. A) How much charge must be on the sphere? B) What is the approximate electric field halfway between the inner and outer sphere? (There are several totally different ways to solve this; the easiest one does *not* use the answer from part A.) C) The lightning is formed when current starts to flow between the two spheres. Explain at least two different non-obvious facts about what is going on inside and around these "lightning bolts", relevant to what you have learned about in any portion of this class. If a direction is involved with your facts, give that direction explicitly.