16 a nonplanar circuit 6 to understand mesh analysis

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Unformatted text preview: 3.15(b). Hence, the circuit in Fig. 3.15(a) is planar. However, the circuit in Fig. 3.16 is nonplanar, because there is no way to redraw it and avoid the branches crossing. Nonplanar circuits can be handled using nodal analysis, but they will not be considered in this text. 1A 2Ω 5Ω 1Ω DC Circuits 6Ω 3Ω 1Ω 4Ω 5Ω 4Ω 7Ω 8Ω 7Ω 6Ω 2Ω 3Ω 13 Ω (a) 1A 12 Ω 5A 9Ω 11 Ω 8Ω 2Ω 10 Ω 1Ω 3Ω 4Ω 5Ω 8Ω Figure 3.16 A nonplanar circuit. 6Ω To understand mesh analysis, we should first explain more about what we mean by a mesh. 7Ω (b) Figure 3.15 (a) A planar circuit with crossing branches, (b) the same circuit redrawn with no crossing branches. Although path abcdefa is a loop and not a mesh, KVL still holds. This is the reason for loosely using the terms loop analysis and mesh analysis to mean the same thing. A mesh is a loop which does not contain any other loops within it. In Fig. 3.17, for example, paths abefa and bcdeb are meshes, but path abcd...
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This note was uploaded on 07/16/2012 for the course KA KA 2000 taught by Professor Bkav during the Spring '12 term at Cambridge.

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