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  4. 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 (x/15) (ε0 A / b ). The value of x is .

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Q. 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 ______.Physics Question Image

JEE MainJEE Main 2022Electrostatic Potential and Capacitance

Solution:

Parallel combination
$c _{ eq }=\varepsilon_{0} A \left[\frac{1}{5 b }+\frac{1}{3 b }+\frac{1}{ b }\right]=\frac{23}{15} \frac{\varepsilon_{0} A }{ b }$