Question

Five identical conducting plates 1, 2, 3, 4 & 5 are fixed parallel to and equidistant from each other (see figure). Plates 2 & 5 are connected by a conductor while 1 & 3 are joined by another conductor. The junction of 1 & 3 and the plate 4 are connected to a source of constant e.m.f. V₀ find:

(i) The effective capacity of the system between the terminals of the source. 

(ii) The charges on plates 3 & 5. Given 

D = Distance between any 2 successive plate & 

A = Area of either face of each plate.

Answer 1

Let q charge be given to the system

So ∆ = V =3q / 5C (C = capacitance of each capacitors)