1. The problem statement, all variables and given/known data I have a situation with a charge distribution for a system of static charges in a vacuum. It then asks to state the uniqueness theorem for such a system. 2. Relevant equations 3. The attempt at a solution I know that the uniquessness theorem means that once you have found one solution to the system you have found THE solution. But how does this change for different systems? Is this a good enoug answer to what is the uniqueness theorem?