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JEE MainPhysicsCapacitance

Five identical capacitors, C₁, C₂, C₃, C₄ , and C₅ , each of capacitance 16 F , are arranged in a row such that the right plate of each capacitor is connected to the left plate of the next. A conducting wire connects terminal A (at the left plate of C₁ ) to the junction between C₂ and C₃ . Another conducting wire connects the junction between C₁ and C₂ to the junction between C₄ and C₅ . Terminal B is at the right pl

Correct answer

12

Step-by-step solution

Let us assign nodes to the junctions based on the connecting wires. Let the left plate of C₁ be at node A . The wire connects node A to the junction between C₂ and C₃ . Let the junction between C₁ and C₂ be node X . The second wire connects node X to the junction between C₄ and C₅ . Let the junction between C₃ and C₄ be node Y . Terminal B is at the right plate of C₅ . The capacitors are connected as follows: C₁ is between A and X . C₂ is between X and A . C₃ is between A and Y . C₄ is between Y and X . C₅ is betwe

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