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b fi = 20;P 3.47 a The node voltage method requires slimming the currents at two snpernodes in terms of four node voltages and using two constraint equations to reduce the system of equations to two unknowns. If the connection at the bottom of the circuit is used as the reference node, then the voltages controlling the dependent sources are node voltages. This makes it easy to formulate the constraint equations. The current inthe 20 V source is obtained by summing the currents at either terminal of the source.The mesh current method requires slimming the voltages around the two meshes not containing current sources in terms of four mesh currents. In add让ion the voltages controlling the dependent sources must be expressed in terms of the inesli currents. Thus the constraint equations are more complicated, and the reduction to two equations and two unknowns involves more algebraic nianipiilation. The current in the 20 V source is found by subtracting two mesh currents.Because the constraint equations are easier to formulate in the node Voltage method, it is the preferred approach.Node voltage equations: 語 + 語-53X 10益 + 語10_3?,3 + *2 =Const rail 让s:Solving, V2 = 44 Vio = 0.2 44/250 = 24 mA/)2ov = 20io = 480 111W (abs)
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