The transformation is used to establish equivalence for networks with three terminals. Where three elements terminate at a common node and none are sources, the node is eliminated by transforming the impedances. For equivalence, the impedance between any pair of terminals must be the same for both networks. The equations given here are valid for complex as well as real impedances.

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You have previously examined resistor networks involving series, parallel, and series-parallel combinations. We will next examine networks which cannot be placed into any of the above categories. While these circuits may be analyzed using techniques developed earlier in this chapter, there is an easier approach. For example, consider the circuit shown in Figure 8–39.

The transformation is used to establish equivalence for networks with 3 terminals. Where three elements terminate at a common node, the node is eliminated by transforming the resistances. For equivalence, the resistances between any pair of terminals must be the same for both networks.

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