4 solvethelinearsystemofnmunknowns 39

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Unformatted text preview: we cannot write the usual KCL at these two nodes. R1 Node1 R2 v1 Node2 v2 v3 10V R4 5V Node3 R5 Fig. 2 Case with a voltage source between two nodes To solve this problem, we identify a super node (marked by the dotted line) around the voltage source as shown in Figure 2. We can then find the currents in the branches (R1, R2, R4, R5) associated with the super node in terms of the node voltage variables. We can apply the KCL to the super node to find one independent equation. Note that for the two nodes, we can write only one independent equation. The KCL equation will be, v2 v1 v2 v3 v3 v1 0 R2 R4 R5 R1 (1) (1) What will be the three independent equations then? We can write the following equation for node1 voltage: v1 5 For the nodes connected by the voltage source, we can take care of the voltage polarity and write: v2 v3 10 (2) With the three independent equations we can solve for the three unknowns. 38 EE1002 Introduction to Circuits and Systems The mesh current analysis method The mesh current method employs mesh currents as the independent variables. From the mesh currents,...
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This document was uploaded on 01/20/2014.

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