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Capacitance of a stair-like plate arrangement

This type of question, asked 2 times: 27 Jun 2022, 9 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    115
    A paralle plate capacitor is made up of stair like structure with a palte area AA of each stair and that is connected with a wire of length bb, as shown in the figure. The capacitance of the arrangement is x15ε0 A b\frac{x}{15}\frac{\varepsilon_{0}\text{ }A}{\text{ }b}. The value of xx is

  2. Question 2

    9 Apr 2024

    7
    A capacitor is made of a flat plate of area AA and a second plate having a stair-like structure as shown in figure. If the area of each stair is A3\frac{A}{3} and the height is dd, the capacitance of the arrangement is:

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