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

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

1 Lecture 4: Nodal Analysis Nilsson & Riedel ENG17 (Sec. 2): Circuits I Spring 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


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