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Transcript
Lecture 3: Nodal Analysis Nilsson 4.1-4.4 ENG17 : Circuits I Spring 2015 April 7, 2015 1 Overview • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases 2 Planar Circuit Planar Not Planar Nodal good for either Mesh good for planar 3 Identify • • • • • • • Node Essential Node Path Branch Essential Branch Loop Mesh 4 Simultaneous Equations • How many unknown currents? • How many equations needed? 5 Node Voltage Method – Setting Up • Identify essential nodes • Define reference node • Apply KCL to each non-reference node, express current in terms of node voltages • Solve simultaneous equations 6 Node Equations 7 Example 8 Overview • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases 9 Dependent Sources • Only need to add equation to describe relationship of the dependent source 10 Example 11 Overview • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases 12 Source Between Essential Nodes 13 w/Dependent Source 14 Supernode 15 Example 16 Recap • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases 17
