{"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 fixed at a distance from a central charge, and the energy is calculated based on their mutual interactions.", "goal": "Calculate the minimum electrostatic potential energy of the system of charges in Joules."}, "summary": "This problem involves electrostatics, specifically calculating the potential energy of a system of charged particles. In this case, we have 13 identical particles, each with a charge of 2e, where 12 are fixed at a distance of 2 m from a central charge at point P. The task is to compute the total electrostatic potential energy of the system using Coulomb's law, leading to the answer of 2.822 x 10^-26 Joules."}