Related Resources: Electrical Design Engineering

AC Electrical Circuit Analysis A Practical Approach

Instrumentation, Electronics & Control Sensing Devices

AC Electrical Circuit Analysis, A Practical Approach
James Fiore, Professor
Electrical Engineering Technology
Mohawk Valley Community College
422 Pages

Open: AC Electrical Circuit Analysis, A Practical Approach

Preface:

Welcome to the AC Electrical Circuit Analysis, an open educational resource (OER). The goal of this text is to introduce the theory and practical application of analysis of AC electrical circuits. It assumes familiarity with DC circuit analysis. If you have not studied DC circuit analysis, it is strongly recommended that you read the companion text, DC Electrical Circuit Analysis before continuing.

TOC

Chapter 1: Fundamentals . . . . . . . 10
1.0 Chapter Objectives . . . . . . . . 10
1.1 Introduction . . . . . . . . . 10
1.2 Sinusoidal Waveforms . . . . . . . 11
1.3 Basic Fourier Analysis . . . . . . . . 25
1.4 Complex Numbers . . . . . . . . 29
1.5 Reactance and Impedance . . . . . . . 31
1.6 Phasor Diagrams . . . . . . . . 37
Summary . . . . . . . . . 38
Exercises . . . . . . . . . 39

Chapter 2: Series RLC Circuits . . . . . . 44
2.0 Chapter Objectives . . . . . . . . 44
2.1 Introduction . . . . . . . . . 44
2.2 The Series Connection . . . . . . . 44
2.3 Series Impedance . . . . . . . . 45
2.4 Series Circuit Analysis. . . . . . . . 48
2.5 Concerning Practical Inductors . . . . . . 61
Summary . . . . . . . . . 63
Exercises . . . . . . . . . 64

Chapter 3: Parallel RLC Circuits . . . . . 80
3.0 Chapter Objectives . . . . . . . . 80
3.1 Introduction . . . . . . . . . 80
3.2 The Parallel Connection . . . . . . 81
3.3 Parallel Impedance . . . . . . . . 81
3.4 Parallel Circuit Analysis . . . . . . . 85
Summary . . . . . . . . . 100
Exercises . . . . . . . . . 101

Chapter 4: Series-Parallel RLC Circuits . . . . 110
4.0 Chapter Objectives . . . . . . . . 110
4.1 Introduction . . . . . . . . . 110
4.3 The Series-Parallel Connection . . . . . . 110
4.4 Series-Parallel Impedance . . . . . . . 111
4.5 Series-Parallel Circuit Analysis . . . . . . . 114
Summary . . . . . . . . . 132
Exercises . . . . . . . . . 133

Chapter 5: Analysis Theorems and Techniques . . . . 144
5.0 Chapter Objectives . . . . . . . . 144
5.1 Introduction . . . . . . . . . 144
5.2 Source Conversions . . . . . . . . 145
5.3 Superposition Theorem . . . . . . . 153
5.4 Thévenin's and Norton's Theorems . . . . . . 160
5.5 Maximum Power Transfer Theorem . . . . . . 170
5.6 Delta-Y (Pi-T) Conversions . . . . . . . 179
Summary . . . . . . . . . 185
Exercises . . . . . . . . . 187

Chapter 6: Nodal and Mesh Analysis . . . . . 204
6.0 Chapter Objectives . . . . . . . . 204
6.1 Introduction . . . . . . . . . 204
6.2 Nodal Analysis . . . . . . . . 205
6.3 Mesh Analysis . . . . . . . . 222
6.4 Dependent Sources . . . . . . . . 234
Summary . . . . . . . . . 240
Exercises . . . . . . . . . 242

Chapter 7: AC Power . . . . . . . 260
7.0 Chapter Objectives . . . . . . . . 260
7.1 Introduction . . . . . . . . . 260
7.2 Power Waveforms . . . . . . . . 261
7.3 Power Triangle . . . . . . . . 273
7.4 Power Systems . . . . . . . . 280
Summary . . . . . . . . . 286
Exercises . . . . . . . . . 287

Chapter 8: Resonance . . . . . . . 294
8.0 Chapter Objectives . . . . . . . . 294
8.1 Introduction . . . . . . . . . 294
8.2 Series Resonance . . . . . . . . 295
8.3 Parallel Resonance . . . . . . . . 310
Summary . . . . . . . . . 329
Exercises . . . . . . . . . 331

Chapter 9: Polyphase Power . . . . . . 338
9.0 Chapter Objectives . . . . . . . . 338
9.1 Introduction . . . . . . . . . 338
9.2 Polyphase Definition . . . . . . . . 339
9.3 Three-Phase Connections . . . . . . . 341
9.4 Power Factor Correction . . . . . . . 354
Summary . . . . . . . . . 364
Exercises . . . . . . . . . 365

Chapter 10: Decibels and Bode Plots . . . . . 372
10.0 Chapter Objectives . . . . . . . . 372
10.1 Introduction . . . . . . . . 372
10.2 The Decibel . . . . . . . . . 372
10.3 Bode Plots . . . . . . . . . 383
10.4 Combining the Elements - Multi-Stage Effects . . . . . 393
Summary . . . . . . . . . 395
Exercises . . . . . . . . . 396

Appendices
A: Standard Component Sizes . . . . . . . 399
B: Methods of Solution of Linear Simultaneous Equations . . . 400
C: Equation Proofs . . . . . . . . 405
D: Answers to Selected Odd-Numbered Problems . . . . 408
E: Questions for Selected Odd Answers . . . . . 422

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