{"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, 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 calculating the electrostatic potential 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 central charge at point P. The total potential energy is determined by considering the interactions between each of the 12 charges and the fixed charge at P, as well as the interactions among the 12 charges themselves. The goal is to find the minimum energy of the system in Joules, which can be achieved using Coulomb's law to compute the potential energy contributions."}