{"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 based on Coulomb's law.", "specific_scope": "The focus is on a system of 10 identical charged particles, where 9 are at a fixed distance from a point charge, and one charge is fixed at that point.", "goal": "Calculate the total electrostatic potential energy of the system to determine the minimum energy configuration."}, "summary": "This problem is rooted in electrostatics, specifically in calculating the potential energy of a system of charged particles. It involves 10 identical particles, each with a charge of 3e, where 9 are constrained at a distance of 3 m from a fixed charge at point Q. The goal is to compute the total electrostatic potential energy of the system using Coulomb's law, leading to the conclusion that the minimum energy of the system is 2.345 x 10^-26 Joules."}