First and Second Order Circuits and Equations
Technical Background and Insights

1. Edition June 2024
352 Pages, Hardcover
Wiley & Sons Ltd
First and second order electric and electronic circuits contain energy storage elements, capacitors and inductors, fundamental to both time and frequency domain circuit response behavior, including exponential decay, overshoot, ringing, and frequency domain resonance.
First and Second Order Circuits and Equations provides an insightful and detailed learning and reference resource for circuit theory and its many perspectives and duals, such as voltage and current, inductance and capacitance, and serial and parallel. Organized and presented to make each information topic immediately accessible, First and Second Order Circuits and Equations offers readers the opportunity to learn circuit theory faster and with greater understanding.
First and Second Order Circuits and Equations readers will also find:
* Root locus charts of second order characteristic equation roots both in terms of damping factor zeta as well as damping constant alpha.
* Detailed treatment of quality factor Q and its relationship to bandwidth and damping in both frequency and time domains.
* Inductor and capacitor branch relationship step response insights in terms of calculus intuition.
* Derivations of voltage divider and current divider formulae in terms of Kirchhoff's laws.
First and Second Order Circuits and Equations is an essential tool for electronic industry professionals learning circuits on the job, as well as for electrical engineering, mechanical engineering, and physics students learning circuits and their related differential equations.
Acknowledgments xix
Part 1 Circuit Elements and Resistive Circuits 1
1 Ohm's Law, Branch Relationships, and Sources 3
2 Kirchhoff's Laws and Resistive Dividers 17
3 Opamp Models and Resistive Circuits 39
4 Reactive Circuit Elements 45
Part 2 First-Order Circuits 57
5 First-Order RC and RL Circuits Introduction 59
6 First-Order Frequency Domain Response 65
7 Discharging and Charging First-Order RC and RL Circuits 149
8 Natural Response of RC and RL Circuits 159
9 First-Order Step Response of RC and RL Circuits 173
10 Complete Response of First-Order RC and RL Circuits 191
Part 3 Second-Order Circuits 211
12 Second-Order RLC Circuits Overview 213
13 Second-Order RLC Frequency Response 219
14 Second-Order RLC Circuit Natural Response 251
15 Second-Order RLC Step and Complete Response 299
Part 4 Technical Background Topics 307
16 Complex Numbers, Exponentials, and Phasors 309
Index 319