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MHT CET202312 May 2023Morning ShiftPhysicsCapacitanceActual

In the given capacitive network the resultant capacitance between point A and B is

Options

  1. A8 F
  2. B4 F
  3. C2 F
  4. D16 F

Correct answer

B. 4 F

Step-by-step solution

In the given circuit, C ₃ and C ₄ are in series and aligned C ₃ & = C ₄=8 F 1 C ₅ & = 1 C ₃ + 1 C ₄ aligned aligned C _ s & = C ₃^2 2 C ₃ C _ s & = C ₃ 2 C _ S & =4 F aligned C ₅ and C ₆ are in parallel and C ₅= C ₆=4 F aligned C _P & = C ₅+ C ₆ C _ P & =8 F aligned Equivalent circuit is as shown in figure. Now, C₂ and C_P are in series and their combination in parallel with C ₅ aligned C_E & = C₂ C_P C₂ C_P +C₅ & C_E= (8)(8) 16 +4 C_E & =8 F aligned Now, C₁ and C_E are in series, aligned & C = C ₁ C _ E C ₁+ C _ E

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