st","extracted_subject":"PHYSICS","extracted_chapter":"ELECTROSTATIC POTENTIAL AND CAPACITANCE","extracted_topic":"COMBINATION OF CAPACITORS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_3106.png?top_left_x=532&top_left_y=750&width=532&height=289&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e7d425d76b7ab32a3c3","slug":"two-spherical-conductors-asub1sub-and-asub2sub-of-","content":"Two spherical conductors A₁ and A₂ of radii r₁ and r₂ and carrying charges q₁ and q₂ are connected in air by a copper wire as shown in the figure. Then the equivalent capacitance of the system is–","options":[{"_id":"68a95a8d7f15af4716d52efa","text":"(a) \\(\\frac{4\\pi\\varepsilon_{0}r_{1}r_{2}}{r_{2} - r_{1}}\\)","sequence":0,"isCorrect":false},{"_id":"68a95a8d7f15af4716d52efb","text":"(b) 4pĪ₀ (r₁ + r₂)","sequence":0,"isCorrect":false},{"_id":"68a95a8d7f15af4716d52efc","text":"(c) 4pĪ₀ r₂","sequence":0,"isCorrect":false},{"_id":"68a95a8d7f15af4716d52efd","text":"(d) 4pĪ₀ r₁","sequence":0,"isCorrect":false}],"correct_answer":"","explanation":"(b)\n\nC_eq = C₁ + C₂ = 4p e₀ (r₁ + r₂)","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:49.985Z","__v":0,"vector_store_id":"4fdb725a-274d-438d-bfe8-583b6c8fbfb0","updated_at":"2024-08-30T21:49:49.985Z","isStarred":false},"params":{"questionSlug":"two-spherical-conductors-asub1sub-and-asub2sub-of-"}}]}]]

Question: Two spherical conductors A<sub>1</sub> and A<sub>2</sub> of radii r<sub>1</sub> and r<sub>2</sub> an...

Solution