V3 v1 v3 v2 v3 0 r1 r3 r5 2 at node 1 we

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Unformatted text preview: ltages. Once current in each branch is defined in terms of the node voltages, Kirchoff’s current law is applied at each node except at the reference node. i 0 For a circuit with N nodes, this results in set of (N‐1) linear equations. Steps of Node Voltage Analysis method 1. 2. 3. 4. Select a reference node (Usually the ground). This node usually has the most elements connected to it. Define the remaining (n‐1) node voltages as the independent or dependent variables. Each of the m voltages sources in the circuit is associated with a dependent variable. If a node is not connected to a voltage source, then its voltage is treated as an independent variable. Apply KCL at each node labeled as an independent variable, expressing each current in terms of the adjacent node voltages. Solve the linear system of (n‐1‐m) unknowns. 34 EE1002 Introduction to Circuits and Systems Case: Node analysis with one source and resistors R1 R2 v1 R3 v2 v3 R4 R5 Fig. 1 Simple case of node analysis Selecting the reference node Any node can be taken as the reference node. However, the node with maximum number of...
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This document was uploaded on 01/20/2014.

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