Five identical conducting plates, \( 1,2,3,4 \) and 5 are fixed parallel plates equidistant from...

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Five identical conducting plates, \( 1,2,3,4 \) and 5 are fixed parallel plates equidistant from each other (see figure). A conductor connects plates 2 and 5 while another conductor joins 1 and 3. The junction of 1 and 3 and the plate 4 are connected to a source of constant emf \( V_{0} \). Find
\( P \)
(a) the effective capacity of the system between the terminals of source.
(b) the charges on the plates 3 and 5 .
Given, \( d= \) distance between any two successive plates and \( A= \) area of either face of each plate.
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