{"knowledge_schema": {"broad_category": "Physics \u2192 Electrostatics \u2192 Potential Energy of Charged Particles", "refinement": "This problem involves calculating the electrostatic potential energy of a system of charged particles, taking into account their interactions and positions.", "specific_scope": "The scenario describes a system of 13 identical charged particles, with 12 particles constrained at a fixed distance from a point charge, requiring the calculation of the total potential energy of the system.", "goal": "Calculate the minimum electrostatic potential energy of the system of charges in Joules."}, "summary": "This problem involves electrostatics, specifically the calculation of potential energy in a system of charged particles. It describes a configuration of 13 identical particles, where 12 are fixed at a distance from a central charge. The goal is to compute the total electrostatic potential energy of the system, which involves summing the potential energy contributions from each pair of charges. The answer is found to be 2.822 x 10^-26 Joules."}