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

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

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

4. Current Divider 4 Similar analysis

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

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

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

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

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

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 10

11. Node Equations 11

12. Example 12

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

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

15. Example 15

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

17. Source Between Essential Nodes 17

18. w/Dependent Source 18

19. Supernode 19

20. Example 20

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