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(D) The given circuit consists of three plates. The middle plate is connected to point $A$,while the top and bottom plates are connected together to p

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$\frac{2 \varepsilon_0 A}{d}$

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(D) The given circuit consists of three plates. The middle plate is connected to point $A$,while the top and bottom plates are connected together to point $B$.This arrangement forms two capacitors in parallel.Each capacitor is formed by the middle plate and one of the outer plates,with a separation distance $d$ and surface area $A$.The capacitance of each individual capacitor is $C = \frac{\varepsilon_0 A}{d}$.Since the two capacitors are connected in parallel,the equivalent capacitance is $C_{eq} = C + C = 2C$.Substituting the value of $C$,we get $C_{eq} = 2 \left( \frac{\varepsilon_0 A}{d} \right) = \frac{2 \varepsilon_0 A}{d}$.

Three plates of common surface area $A$ are connected as shown. The effective capacitance between points $A$ and $B$ will be

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