{"knowledge_schema": {"broad_category": "Physics \u2192 Electrostatics \u2192 Energy of Charged Particles", "refinement": "This problem involves calculating the electrostatic potential energy of a system of charged particles, specifically focusing on the interactions between multiple charges.", "specific_scope": "The scenario describes a system of 10 identical charged particles, with 9 particles at a fixed distance from a point charge, and requires calculating the total electrostatic energy of the system.", "goal": "Calculate the minimum electrostatic potential energy of the system of charges in Joules."}, "summary": "This problem is rooted in electrostatics, where we need to calculate the potential energy of a system of charged particles. In this case, we have 10 identical particles, each with a charge of 3e, with 9 of them constrained at a distance of 3 m from a fixed charge at point Q. The goal is to find the total electrostatic potential energy of the system, which involves using the formula for potential energy between point charges and summing the contributions from each pair of charges. The correct answer, after performing the calculations, is 2.468 x 10^-26 Joules."}