7 v3 i3 8 6 a circuit with a supernode c a s e 2 if

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Unformatted text preview: s knowledge of the voltage at this node. | e-Text Main Menu | Textbook Table of Contents | Problem Solving Workbook Contents CHAPTER 3 Methods of Analysis 83 4Ω Supernode i4 v1 2Ω i1 5V v2 +− i2 10 V + − Figure 3.7 v3 i3 8Ω 6Ω A circuit with a supernode. C A S E 2 If the voltage source (dependent or independent) is connected between two nonreference nodes, the two nonreference nodes form a generalized node or supernode; we apply both KCL and KVL to determine the node voltages. A supernode may be regarded as a closed surface enclosing the voltage source and its two nodes. A supernode is formed by enclosing a (dependent or independent) voltage source connected between two nonreference nodes and any elements connected in parallel with it. In Fig. 3.7, nodes 2 and 3 form a supernode. (We could have more than two nodes forming a single supernode. For example, see the circuit in Fig. 3.14.) We analyze a circuit with supernodes using the same three steps mentioned in the previous section except that the supernodes are trea...
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