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JEE MainPhysicsCapacitance

Four capacitors C₁ , C₂ , C₃ , and C₄ are connected in series between terminals A and B . A conducting wire connects terminal A to the junction between C₂ and C₃ . Another conducting wire connects the junction between C₁ and C₂ to the junction between C₃ and C₄ . A DC voltage source of 10 V is connected across terminals A and B . If C₁ = 1 , F , C₂ = 2 , F , C₃ = 3 , F , and C₄ = 4 , F , the energy stored in capacito

Options

  1. A100 , J
  2. B144 , J
  3. C4 , J
  4. D16 , J

Correct answer

D. 16 , J

Step-by-step solution

Let the junctions between the capacitors be labeled as follows: J₁ between C₁ and C₂ , J₂ between C₂ and C₃ , and J₃ between C₃ and C₄ . The first conducting wire connects terminal A to J₂ , making them the same node (Node A ). The second conducting wire connects J₁ to J₃ , making them the same node (let's call it Node X ). Now, we can determine the connections for each capacitor: - C₁ is connected between A and J₁ (Node A and Node X ). - C₂ is connected between J₁ and J₂ (Node X and Node A ). - C₃ is connected bet

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