1. Lee Brinton Salt Lake Community College 1 Introduction to Electrical & Computer Engineering Node Voltage Analysis

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3. Introduction to Electrical Engineering Node Voltages Comparison between Elevation and Voltage Branch Voltages Vs. Node Voltages Nodes and Extraordinary (Critical) Nodes Node Analysis Process Node Analysis with Dependent Sources Supernodes 3

4. 4 Similarities Between Elevation and Voltage Sea Level Salt Lake Valley Floor Mount Olympus

5. 5 Branch and Node Voltages

6. 6 Branch Currents and Voltages

7. 7 Nodes and Extraordinary (Critical) Nodes

8. 8 Node Voltage Process

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10. 10 Steps to Performing Node Analysis 1.Identify extraordinary (critical) nodes 2.Select one node as the reference node (V = 0) 3.Assign variable names to the other extraordinary nodes 4.Write node equations at each other node in terms of the node voltage variables 5.Solve the system of equations for the node voltages

11. 11 Example Circuit

12. 12 Example Circuit V 1 = 14.48 V 2 = 20.69 V + V 10 -

13. 13 Example Circuit with Dependent Source

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15. 15 Example Circuit with Super Node

16. 16 Example Circuit with Super Node

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18. Lee Brinton Salt Lake Community College 18 Introduction to Electrical & Computer Engineering Mesh Analysis

19. Introduction to Electrical Engineering Mesh Currents Loops Vs. Meshes Branch Currents Vs. Mesh Currents Mesh Analysis Process Mesh Analysis with Dependent Sources Supermeshes 19

20. 20 Loops Vs. Meshes

21. 21 Branch Currents Vs. Mesh Currents

22. 22 Loop Equations Involving Mesh Currents

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24. 24 Steps to Performing Mesh Analysis 1.Identify meshes 2.Assign variable names to mesh currents 3.Write KVL equations around each mesh in terms of the mesh currents 4.Solve the system of equations for the mesh currents

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26. 26 Mesh-Current Example

27. 27 Super Mesh

28. 28 +_+_ 15Ω 10Ω 3Ω3Ω 5Ω5Ω 2 A 12 V Super Mesh Example

29. Lee Brinton Salt Lake Community College 29 Introduction to Electrical & Computer Engineering Superposition

30. 30 Superposition

31. 31 Superposition

32. Lee Brinton Salt Lake Community College 32 Introduction to Electrical & Computer Engineering Thevenin and Norton Equivalent Circuits

33. 33 a b Complex Circuit and Its Thevenin Equivalent LM324 Operational Amplifier Circuit Thevenin Equivalent Circuit Of LM324

34. 34 Thevenin Equivalent Power at the Shaft vs. Power at the Wheels

35. 35 a b Complex Circuit and Its Thevenin Equivalent LM324 Operational Amplifier Circuit Thevenin Equivalent Circuit Of LM324

36. 36 Complex Circuit and Its Thevenin Equivalent

37. 37 Open Circuit Voltage and Short Circuit Current

38. 38 +_+_ abab VsVs Determining the Thevenin Equivalent Circuit

39. 39 +_+_ abab VsVs Determining the Thevenin Resistance Method 1: V oc and I sc Method

40. 40 +_+_ abab VsVs Determining the Thevenin Resistance Method 2: Equivalent Resistance Method

41. 41 +_+_ abab VsVs Determining the Thevenin Resistance Method 3: Applying a Test Voltage

42. 42 Example Determining Thevenin Equivalent Circuit

43. 43 Thevenin Equivalent Circuit Example

44. 44 Thevenin Equivalent Circuit Example

45. Lee Brinton Salt Lake Community College 45 Introduction to Electrical & Computer Engineering Maximum Power Transfer

46. 46 Maximize VoltageR L >> R th Maximize Current R L << R th Maximize Power R L ?? R th Power Transfer to the Load

47. 47 Maximum Power Transfer to the Load