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Electric Circuits 8th Edition 139

Electric Circuits 8th Edition 139 - 4.8 T he ode-Vottage V...

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4.8 The Node-Vottage Meihod Versus thel4esh-Current l,4ethod ,15 Conparing the Node-Voltage and Mesh-Current Methods fiDd rhe voltage ,, in rhe cjrcuit sho$n in Fig.4.33. Sotution At firsl glance,the node-voltage method tooks appealing, because we may define the unknown voltage as a node voltage by choosing the lov/er ter- minal of the dependent curent source as the refer- ence node, The circuit has four essential nodes and two voltage-contmlled dependent sources, so the node-voltage method requires manipulation of three node-voltage equations and t\ro constraint equatiorN. Let's now turn to the mesh-current method for finding oo. The circuit contains three meshes, and we call use the leftmost one to calculate zr., If we let i. denote the leftmost mesh curent, then oo = 193 10ia. The presence of the two curent sources reduces the problem to manipulating a sin- gle supermesh equation and two constmint equa- tions. Hence the mesh-curent method is the more attractive technique here. Figure 4.35 A The circujtshown in Fig.4.33 with node vottages. To help you compare the two approaches, we
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