To use either of the last two methods one must cast

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Unformatted text preview: atrix inversion. To use either of the last two methods, one must cast the simultaneous equations in matrix form. For example, Eqs. (3.7) and (3.8) can be cast in matrix form as −G2 v1 I − I2 G1 + G2 =1 (3.9) −G2 G 2 + G 3 v2 I2 Appendix A discusses how to use Cramer’s rule. which can be solved to get v1 and v2 . Equation 3.9 will be generalized in Section 3.6. The simultaneous equations may also be solved using calculators such as HP48 or with software packages such as Matlab, Mathcad, Maple, and Quattro Pro. EXAMPLE 3.1 Calculate the node voltages in the circuit shown in Fig. 3.3(a). Solution: 5A 4Ω 1 2Ω Consider Fig. 3.3(b), where the circuit in Fig. 3.3(a) has been prepared for nodal analysis. Notice how the currents are selected for the application of KCL. Except for the branches with current sources, the labeling of the currents is arbitrary but consistent. (By consistent, we mean that if, for example, we assume that i2 enters the 4 resistor from the left-hand side, i2 must leave the resist...
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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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