{"knowledge_schema": {"broad_category": "Physics \u2192 Electromagnetism \u2192 Dielectrics and Conductors", "refinement": "This problem involves the behavior of electric fields and potentials in the presence of dielectric materials and conductors, particularly under the influence of an external electric field.", "specific_scope": "The focus is on determining the electric potential and electric field outside a dielectric sphere in a steady state when subjected to a uniform electric field.", "goal": "To derive the expressions for the electric potential \u03a6(r, \u03b8) and the electric field E\u20d7(r, \u03b8) in the region outside the sphere (r > R) and identify the correct candidate from the provided options."}, "summary": "This problem pertains to the study of electric fields and potentials in the context of dielectrics and conductors. It requires determining the electric potential and electric field outside a dielectric sphere when subjected to a uniform electric field. The solution involves applying boundary conditions and the properties of dielectrics and conductors to derive the correct expressions. The answer is identified as the expression that correctly accounts for the influence of the sphere's conductivity and permittivity on the electric field in the surrounding medium."}