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 $\frac{A}{3}$ and the height is $d$, the capacitance of the arrangement is:
All capacitor are in parallel combination.
Also effective area is common area only
$$
\begin{aligned}
& \Rightarrow C_{e q}=C_1+C_2+C_3 \\
& \Rightarrow C_{e q}=\frac{A \varepsilon_0}{3 d}+\frac{A \varepsilon_0}{3(2 d)}+\frac{A \varepsilon_0}{3(3 d)} \\
& \Rightarrow C_{e q}=\frac{A \varepsilon_0}{3}\left(\frac{11}{6 d}\right) \\
& \Rightarrow C_{e q}=\frac{11 A \varepsilon_0}{18 d}
\end{aligned}
$$
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