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AP EAMCET202318 May 2023Morning ShiftPhysicsCapacitanceActual

Four metal plates, each with surface area A on one side, are placed with separation ' d ' as shown in the figure. The capacitance between a and b is ( ₀- . permittivity of free space)

Options

  1. A3 ₀ ~A ~d
  2. B2 ₀ ~A ~d
  3. C2 ₀ ~A 3 ~d
  4. D3 ₀ ~A 2 ~d

Correct answer

D. 3 ₀ ~A 2 ~d

Step-by-step solution

C ₁ C ₂= C ₃= C Capacitor C ₁ & C ₂ are in series. C₁₂= C₁ C₂ C₁+C₂ = C^2 2 C = C 2 Now C ₁₂ & C ₃ are in parallel, aligned & C _ T = C ₁₂+ C ₃ & = C 2 + C = 3 C 2 aligned C is given as C= A ₀ d Capacitance of system, C = 3 ~A ₀ 2 ~d

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