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First and Second Order Circuits and Equations

Technical Background and Insights

Robert O'Rourke (Ansys, Inc., PA)

$232.95

Hardback

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English
Wiley-IEEE Press
05 June 2024
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 ζ as well as damping constant α. 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.
By:  
Imprint:   Wiley-IEEE Press
Country of Publication:   United States
Weight:   1.089kg
ISBN:   9781119913535
ISBN 10:   1119913535
Pages:   352
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
About the Author xvii 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

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.

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