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JEE MainPhysicsCapacitance

Six identical large conducting plates, numbered 1 to 6 in order, are arranged parallel to each other with equal spacing. Five capacitors are formed between the adjacent plates. Plates 1 and 4 are connected to terminal P . Plates 2 and 6 are connected to terminal Q . Plates 3 and 5 are connected to each other by a conducting wire but are not connected to P or Q . If the capacitance between any two adjacent plates is 1

Correct answer

24

Step-by-step solution

Let the plates be numbered 1 to 6 . Five capacitors, C₁ to C₅ , are formed between adjacent pairs of plates. Let us identify the nodes based on the connections: Terminal P is connected to plates 1 and 4 . Terminal Q is connected to plates 2 and 6 . Let the intermediate node formed by plates 3 and 5 be X . The capacitors are connected as follows: C₁ (between plates 1 and 2 ) is connected between P and Q . C₂ (between plates 2 and 3 ) is connected between Q and X . C₃ (between plates 3 and 4 ) is connected between X

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