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JEE Main20249 Apr 2024Morning ShiftPhysicsCapacitanceActual

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A 3 and the height is d , the capacitance of the arrangement is :

Options

  1. A13 _o A 17 d
  2. B11 _ o A 18 ~d
  3. C18 _ o A 11 ~d
  4. D11 _ o A 20 ~d

Correct answer

B. 11 _ o A 18 ~d

Step-by-step solution

All capacitor are in parallel combination. Also effective area is common area only aligned & C_ eq =C₁+C₂+C₃ & C_ eq = A ₀ 3 d + A ₀ 3(2 d) + A ₀ 3(3 d) & C_ eq = A ₀ 3 ( 11 6 d ) & C_ eq = 11 A ₀ 18 d aligned

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