{"knowledge_schema": {"broad_category": "Physics \u2192 Electrostatics \u2192 Electric Fields", "refinement": "This problem involves understanding the behavior of electric fields in the presence of conductors and cavities, particularly how charges influence the electric field outside a conductor.", "specific_scope": "The focus is on calculating the electric field at a point outside a spherical conductor with a cavity containing a charge, using principles of electrostatics and Gauss's law.", "goal": "Determine the electric field at a specified point outside the spherical conductor due to a charge placed inside the cavity."}, "summary": "In this problem, we analyze the electric field generated by a charge placed inside a cavity of an uncharged spherical conductor. According to electrostatic principles, the presence of the charge induces a surface charge on the conductor, but the electric field outside the conductor behaves as if all the charge were concentrated at the center. The electric field at a point outside the conductor is given by the formula E = 14 \u03c0\u03f5_oqL^2, where L is the distance from the center of the conductor to the point of interest."}