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Five identical metal plates 1, 2, 3, 4 and 5 each of area A on one side are fixed parallel and equidistant (d) to each other. The plates 1 and 4 are joined by a conductor, and plates 3 and 5 are also joined by a conducter as shown in figure. Then, the capacitance of this system between A and B is-

$\frac{5 \in_{0} A}{d}$
$\frac{4 \in_{0} A}{d}$
$\frac{5 \in_{0} A}{3 d}$
None of these

A

\frac{5 \in_{0} A}{d}

B

\frac{4 \in_{0} A}{d}

C

\frac{5 \in_{0} A}{3 d}

D

None of these

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