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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 lefthand 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.
 Spring '12
 bkav

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