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Lecture 4: Nodal Analysis Nilsson & Riedel 4.1-4.4

Lecture 4: Nodal Analysis Nilsson & Riedel 4.1-4.4. ENG17 (Sec. 2): Circuits I Spring 2014. April 10, 2014. Overview. Recap on Voltage & Current Dividers Term Definition Node Voltage Method NVM w/Dependent Sources NVM Special Cases. Voltage Divider. Wheatstone Bridge

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Lecture 4: Nodal Analysis Nilsson & Riedel 4.1-4.4

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  1. Lecture 4:Nodal AnalysisNilsson & Riedel 4.1-4.4 ENG17 (Sec. 2): Circuits I Spring 2014 April 10, 2014

  2. Overview • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

  3. Voltage Divider • Wheatstone Bridge • 2 voltage dividers in parallel

  4. Current Divider • Similar analysis

  5. Overview • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

  6. Planar Circuit Not Planar Planar Nodal good for either Mesh good for planar

  7. Identify • Node • Essential Node • Path • Branch • Essential Branch • Loop • Mesh

  8. Simultaneous Equations • How many unknown currents? • How many equations needed?

  9. Overview • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

  10. 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

  11. Node Equations

  12. Example

  13. Overview • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

  14. Dependent Sources • Only need to add equation to describe relationship of the dependent source

  15. Example

  16. Overview • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

  17. Source Between Essential Nodes

  18. w/Dependent Source

  19. Supernode

  20. Example

  21. Recap • Recap on Voltage & Current Dividers • Term Definition • Node Voltage Method • NVM w/Dependent Sources • NVM Special Cases

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