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MHT CET20225 Aug 2022Evening ShiftPhysicsCapacitanceActual

A capacitor is made of a flat plate of area ' A ' and the second plate has staircase like structure. Width of each stair is ' a ' and its height is ' b '. The capacity of the capacitor is

Options

  1. A₀ ~A 4 ~d [ b +2 ~d ~b ]
  2. B₀^A 4 d [ b+2 d d+b ]
  3. C₀ A [ 2 d+b d-b ]
  4. D₀^A 2 d [ 2 d+b d+b ]

Correct answer

D. ₀^A 2 d [ 2 d+b d+b ]

Step-by-step solution

Above capacitor can be considered as parallel combination of two capacitors of different width d and b + a with each have cross-section A 2 . C=C₁+C₂= ₀ ( A 2 ) d + ₀ ( A 2 ) d+b = ₀ A 2 d 2 d+b (d+b)

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