Capacitors in networks cannot always be grouped into simple series or parallel combinations. As an example, Fig .a shows three capacitors Cx, Cy, and Cz in a delta network, so called because of its triangular shape. This network has three terminals a, b, and c and hence cannot be transformed into a single equivalent capacitor. It can be shown that as far as any effect on the external circuit is concerned, a delta network is equivalent to what is called a Y network. For example, the delta network of Fig. a can be replaced by the Y network of Fig. b. (The name €œY network€ also refers to the shape of the network.)
(a) Show that the transformation equations that give C1, C2, and C3 in terms of Cx, and CY, and Cz are
(b) For the network shown in Fig.c, determine the equivalent capacitance between the terminals at the left end of the network.
(c) Determine the charges of, and the potential differences across, each capacitor in Fig c.

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(a) C = (C,C, + C,C, + CC.)/C, C = (C,C, + C,C, + CC.)C, C, = (C,C, + C,C, + C,C,)/C, %3D V, (b) be (c) 72.0 pF 27.0 uF 18.0 6.0 µF 36,0V 28.0 21.0 pF 72.0 µF