Question 43 of 180

Four identical rectangular plates with length, $l=2cm$ and breadth, $b=\dfrac{3}{2}cm$ are arranged as shown in figure. The equivalent capacitance between $A$ and $C$ is $\dfrac{x{\epsilon }_{0}}{d}.$ The value of $x$ is _______.
(Round off to the Nearest Integer)

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Answer: 2

${C}_{eq}=\dfrac{2{C}_{0}}{3}=\dfrac{2}{3}\dfrac{{ϵ}_{0}A}{d}$
${C}_{eq}=\dfrac{2{ϵ}_{0}}{3d}\times \left(2\times \dfrac{3}{2}\right)=2\left(∵A=1b=2\times \dfrac{3}{2}\right)$