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  4. There are six parallel plates of equal area A are arranged as shown in figure (d < < A). The equivalent capacitance between points 2 and 5, is α (ε0 A/ d). Then find the value of α <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-ievxbrqwst1jjhcf.jpg />

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Q. There are six parallel plates of equal area A are arranged as shown in figure $\left(d < < A\right).$ The equivalent capacitance between points $2$ and $5,$ is $\alpha \frac{\varepsilon_{0} A}{ d}.$ Then find the value of $\alpha $
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
This is balance bridge
$C_{A B}=C=\frac{\varepsilon _{0} A}{ d}=\alpha \frac{\varepsilon _{0} A}{ d}$
$\alpha =1$