First and Second Order Circuits and Equations

Technical Background and Insights
1. Auflage 2024
ISBN: 978-1-119-91353-5
Verlag: Wiley

Buch, Englisch, 352 Seiten, Format (B × H): 203 mm x 254 mm, Gewicht: 1089 g

Autoren/Hrsg.

O'Rourke, Robert

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Schaltungsentwurf
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Elektronische Baugruppen, Elektronische Materialien
• Technische Wissenschaften Energietechnik | Elektrotechnik Energieumwandlung, Energiespeicherung
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Elektronik, Optik

Inhaltsverzeichnis

About the Author xvii

Acknowledgments xix

Part 1 Circuit Elements and Resistive Circuits 1

1 Ohm’s Law, Branch Relationships, and Sources 3

1.1 Chapter Summary and Polarity Reference 3

1.2 Branch Relationships and I–V Characteristics 5

1.3 Ohm’s Law, Resistance, and Resistors 8

1.4 Current, Voltage, and Sources Overview 11

1.5 Voltage Sources 12

1.6 Current and Current Sources 14

2 Kirchhoff’s Laws and Resistive Dividers 17

2.1 Kirchhoff’s Laws and Dividers Comparison Summary 17

2.2 Kirchhoff’s Laws Physical Analogies 18

2.3 Source Polarity in KVL – Time and Frequency Domains 19

2.4 Formulae Summary for Resistors in Series and Parallel 26

2.5 Resistors in Series 27

2.6 Voltage Dividers 32

2.7 Parallel Circuit Element Formulae 33

2.8 Current Dividers 36

2.9 Current and Voltage Intuitions 37

3 Opamp Models and Resistive Circuits 39

3.1 Introduction and Ideal Opamp Model Results Overview 39

3.2 Ideal Opamp Resistive Amplifier Circuits 41

4 Reactive Circuit Elements 45

4.1 Capacitor and Inductor Comparison Summary 45

4.2 Capacitors 47

4.3 Inductors 51

Part 2 First-Order Circuits 57

5 First-Order RC and RL Circuits Introduction 59

5.1 What are First-Order Circuits? 59

5.2 Intuitive First-Order Circuit Frequency Domain Examples 61

5.3 First-Order Natural and Step Response Overview 62

6 First-Order Frequency Domain Response 65

6.1 First-Order Frequency Response Overview 65

6.2 Series RC High-pass Filter Frequency Response 71

6.3 Series RL Low-pass Filter Frequency Response 89

6.4 Series RC Low-pass Filter Frequency Response 108

6.6 Parallel RL Low-pass Filter Frequency Response 128

6.7 Parallel RC High-pass Filter Frequency Response 139

7 Discharging and Charging First-Order RC and RL Circuits 149

7.1 Discharging RC and RL Circuits – Natural Response 149

7.2 Charging RC and RL Circuits – Step Response 153

7.3 The Exponential Time Constant t (Tau) 155

7.4 Pulse Train Time Constants Simulation Example 156

8 Natural Response of RC and RL Circuits 159

8.1 RC and RL Circuits Natural Response Summary 159

8.2 RC and RL Natural Response Derivation 160

8.3 RC Natural Response (ZIR) Time Constants and Initial Current 166

8.4 Natural Response of Series RL with Voltage Source 167

8.5 First-Order RC and RL Natural Response Summary 171

9 First-Order Step Response of RC and RL Circuits 173

9.1 First-Order Step Response Summary Overview 173

9.2 Intuitive Analysis of RC and RL Step Response 177

9.3 Series RC Step Response Solution Using a Particular Solution 181

9.4 Series RL Step Response Solution Using a Particular Solution 184

9.5 Series RL Step Response with Voltage Source 188

9.6 First-Order Step Response Summary 190

10 Complete Response of First-Order RC and RL Circuits 191

10.1 First-Order Complete Response Summary Overview 191

10.2 Series RC Complete Response Examples 192

10.3 RL Complete Response Example and Intuitive Analysis 195

10.4 Complete Response with Switches 199

10.5 Complete Response General Derivation and Formulae 202

11 First-Order Opamp Integrator and Differentiator Circuits 207

11.1 RC Integrator Circuit Step Response 207

11.2 Opamp Integrator Circuit 208

11.3 Opamp Inverting Differentiator Circuit 210

Part 3 Second-Order Circuits 211

12 Second-Order RLC Circuits Overview 213

12.1 What are Second-Order Circuits? 213

12.2 Resonance in the Frequency Domain 215

12.3 Second-Order RLC Transfer Functions and Q 216

12.4 Two Time Domain Responses 217

13 Second-Order RLC Frequency Response 219

13.1 Series and

Über Autor(innen)

Robert O'Rourke is an electronic engineer and independent Technical Learning Architect, with experience creating and teaching electronic circuits and electromagnetics simulation for high speed digital signal integrity, power circuits, multiphysics differential equations, and antenna applications.