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Electric Circuits 8th Edition 119

Electric Circuits 8th Edition 119 - 4.1 T eminotogy 95 i...

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4.1 Teminotogy 95 Identifying Node, Eranch, Mesh and Loop in a circuit For the circuit in Fig 4.3, identify a) a[ nodes. b) all essentialnodes. c) all brarches. d) all ess€trtial branches. e) all mesh€s. 0 two paths that are not loop6 or essential branches. g) two loops that are trot meshes. Sotution a) The nodes are a, b, c, d, e, f, and g. b) The essential nodes are b, c, e, and g. c) The branches are ?J1, tb, Rt, R2, R3, R4, R5, R6, R?, and 1. d) The essential branches are 2,2 - R4, R5, R6, R7, and I 2 \ ) R z d R 3 R, ",( ) Rz - Rl NOTE: Assess your understandingof this motelial bt ttting Chopter Prcblettus 4.2 snd 4.3 Simultaneous Equations-How Many? The number of unktrown currents in a circuit equals the number of blaltrche$ ,, where the current is not known. For exadple, the circuit showtr itr Fig. 4.3 has nitre branches in which the cu[ent is uoknown. Recal that we must have D itrdependent equations to solve a circuit with b unknown currenls If we bt ,r rcpresent the number of nodes in the circuit, we can derive ,l
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