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Lecture 4: Mesh Current Analysis & Source Transformation Nilsson 4.5-4.9 ENG17 : Circuits I Spring 2015 1 April 9, 2015.

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Presentation on theme: "Lecture 4: Mesh Current Analysis & Source Transformation Nilsson 4.5-4.9 ENG17 : Circuits I Spring 2015 1 April 9, 2015."— Presentation transcript:

1 Lecture 4: Mesh Current Analysis & Source Transformation Nilsson 4.5-4.9 ENG17 : Circuits I Spring 2015 1 April 9, 2015

2 Overview Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 2

3 Go Mesh or Go Home Mesh = loop with no other loops inside it Mesh-Current Method needs [b e – (n e – 1)] equations Planar circuits only Mesh current = current that exist only in the perimeter of a mesh Mesh current ≠ Branch current –maybe 3

4 Mesh Currents 4

5 Evolution 5 Branch Currents Mesh Currents

6 Strategy for Mesh-Current Analysis 1.Assign mesh currents. 2.Apply KVL to each mesh. –Use Ohm’s law to express voltages in terms of mesh currents 3.Solve the resulting simultaneous equations to get mesh currents. 4.Use mesh currents to find branch currents and/or any other parameter. 6

7 Example 7

8 Overview Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 8

9 (Don’t) Mesh It Up 9

10 Overview Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 10

11 Mesh with Current Source 11

12 Supermesh…Super Cool 12

13 Example 13

14 Example 14

15 Overview Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 15

16 Node…Mesh…and all the rest Why are we here? Difficult answer Try to make life easier Supernodes or supermeshes? 16

17 Comparison 17

18 Overview Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 18

19 Source Transformations Akin to series / parallel reductions and delta-to-wye transformation Allows a voltage source with resistor in series to be replaced by current source in parallel with same resistor 19

20 Additional Elements 20

21 Recap Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations 21

22 Example 22

23 Example 23

24 Example 24


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