{"knowledge_schema": {"broad_category": "Physics \u2192 Electrostatics \u2192 Potential Energy of Charge Distributions", "refinement": "This problem involves calculating the potential energy of a system consisting of a point charge and a grounded conducting spherical shell, taking into account the effects of induced charges on the shell.", "specific_scope": "The focus is on determining the net potential energy of the system formed by a point charge placed near a grounded conducting spherical shell with specified inner and outer radii.", "goal": "Calculate the net potential energy of the system using the appropriate formula that accounts for the configuration of the charge and the conducting shell."}, "summary": "This problem is rooted in electrostatics, specifically in calculating the potential energy of a system involving a point charge and a grounded conducting spherical shell. The task requires understanding how the presence of the point charge induces charges on the shell and affects the overall potential energy. The correct formula to use in this scenario is derived from the interaction between the point charge and the induced charges on the shell, leading to the conclusion that the net potential energy is given by U = - (1/2) * kq^2 R1/(d^2 - R1^2)."}