100 Iechniqu€5 ofCncLrit Ana y5is4.3 The Node-Voltage Methodand Dependent SourcesIfthe circuit contahs dependent sources, the node-voltage equations mustbe supplemented with the constraint equations imposed by the presenceof the dependent sources. Example ,1.3 illustrates the application of thenode-voltage method to a circuit containing a dependent source.Using the Node-Voltage Method with Dependent Use the node-voltage metiod to find the power dis-(ipated in lhe 5 Q resisror in lhe circuil sho$n inFig.4.10.Summing the curents away from node 2 yields01- x1 u2 Ir2 - 8lp ^As \raritten, these two node-voltage equations con,tain tluee unknowns, namely, 01, ?r2, and id. To eliminate id we must express this controlling current in
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