{"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 13 identical charged particles, where 12 are constrained 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 of charges."}, "summary": "In this problem, we need to calculate the minimum energy of a system of 13 identical particles, each with a charge of 2e, where 12 particles are fixed at a distance of 2 m from a point charge at P. The total potential energy can be calculated using Coulomb's law, considering the interactions between the fixed charges and the charge at point P. The goal is to find the total electrostatic potential energy of the system in Joules, rounded to three decimal places."}