Five identical conducting plates, `1, 2,3,4` and `5` are fixed parallel pltes 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

(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.

Answer

`(5)/(3) ((in _0A)/(d)) ;(ii) Q_3 (4)/(3) ((in_0 AV)/(d)),Q_3 =(2)/(3) ((in _0 AV)/( d)) `