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MHT CET202521 Apr 2025Morning ShiftPhysicsCapacitanceActual

The equivalent capacitance between plates 'A' and 'B' (A-area of each plate, d-separation between plates) ( ₀ - permittivity of free space) is

Options

  1. AA ₀ d
  2. B2 ~A ₀ ~d
  3. C4 ~A ₀ ~d
  4. D8 ~A ₀ ~d

Correct answer

C. 4 ~A ₀ ~d

Step-by-step solution

The arrangement consists of two major sections in parallel: left and right, each with area A/2 . The left capacitor has dielectric constant K = 4 and separation d , so its capacitance is C₁ = 4 ₀ (A/2) d = 2 ₀ A d . The right section has two dielectrics in series: top with K = 3 and bottom with K = 6 , each with separation d/2 and area A/2 . Their individual capacitances are C₂ = 3 ₀ A d and C₃ = 6 ₀ A d . For series combination: 1 C_ series = 1 C₂ + 1 C₃ = d 3 ₀ A + d 6 ₀ A = d 2 ₀ A , so C_ series = 2 ₀ A d . Tot

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