A paralle plate capacitor is made up of stair like structure with a palte area $A$ of each stair and that is connected with a wire of length $b$, as shown in the figure. The capacitance of the arrangement is $\frac{ x }{15} \frac{\varepsilon_{0} A }{ b }$. The value of $x$ is ............
JEE MAIN 2022, Diffcult
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Parallel combination
$c _{ eq }=\varepsilon_{0} A \left[\frac{1}{5 b }+\frac{1}{3 b }+\frac{1}{ b }\right]=\frac{23}{15} \frac{\varepsilon_{0} A }{ b }$
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