[SOLVED] Griffith's Second Uniqueness Theorem 1. The problem statement, all variables and given/known data I am having trouble understanding the Second uniqueness theorem in Griffith's Electrodynamics book which states that "In a volume V surrounded by conductors and containing a specified charge density rho, the electric field is uniquely determined if the total charge on each conductor is given. (The region as a whole can be bounded by another conductor, or else unbounded.)" 2. Relevant equations 3. The attempt at a solution As stated, that theorem makes absolutely no sense to me, especially the part in parenthesis. I really don't even know how to ask a question about it because it simply makes no sense. Can someone give me a link to a site where it is explained better. If anyone has the book, look at Figure 3.6. What does the darker and the lighter shading represent? Is the "integration surface" also a conductor?