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JEE MAIN 2022
27-06-2022 S2
Question
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 _______ .
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Solution
Parallel combination $$ c_{c q}=\varepsilon_0 A\left[\frac{1}{5 b}+\frac{1}{3 b}+\frac{1}{b}\right]=\frac{23}{15} \frac{\varepsilon_0 A}{b} $$
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