{"product_id":"first-and-second-order-circuits-and-equations-isbn-9781119913535","title":"First and Second Order Circuits and Equations","description":"\u003cp\u003eFirst 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.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eprovides 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, \u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eoffers readers the opportunity to learn circuit theory faster and with greater understanding.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003ereaders will also find:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eRoot locus charts of second order characteristic equation roots both in terms of damping factor ζ as well as damping constant α.\u003c\/li\u003e \u003cli\u003eDetailed treatment of quality factor Q and its relationship to bandwidth and damping in both frequency and time domains.\u003c\/li\u003e \u003cli\u003eInductor and capacitor branch relationship step response insights in terms of calculus intuition.\u003c\/li\u003e \u003cli\u003eDerivations of voltage divider and current divider formulae in terms of Kirchhoff’s laws.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eis 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.\u003c\/p\u003e \u003cp\u003eAbout the Author xvii\u003c\/p\u003e \u003cp\u003eAcknowledgments xix\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1 Circuit Elements and Resistive Circuits 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Ohm’s Law, Branch Relationships, and Sources 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Chapter Summary and Polarity Reference 3\u003c\/p\u003e \u003cp\u003e1.2 Branch Relationships and I–V Characteristics 5\u003c\/p\u003e \u003cp\u003e1.3 Ohm’s Law, Resistance, and Resistors 8\u003c\/p\u003e \u003cp\u003e1.4 Current, Voltage, and Sources Overview 11\u003c\/p\u003e \u003cp\u003e1.5 Voltage Sources 12\u003c\/p\u003e \u003cp\u003e1.6 Current and Current Sources 14\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Kirchhoff’s Laws and Resistive Dividers 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Kirchhoff’s Laws and Dividers Comparison Summary 17\u003c\/p\u003e \u003cp\u003e2.2 Kirchhoff’s Laws Physical Analogies 18\u003c\/p\u003e \u003cp\u003e2.3 Source Polarity in KVL – Time and Frequency Domains 19\u003c\/p\u003e \u003cp\u003e2.4 Formulae Summary for Resistors in Series and Parallel 26\u003c\/p\u003e \u003cp\u003e2.5 Resistors in Series 27\u003c\/p\u003e \u003cp\u003e2.6 Voltage Dividers 32\u003c\/p\u003e \u003cp\u003e2.7 Parallel Circuit Element Formulae 33\u003c\/p\u003e \u003cp\u003e2.8 Current Dividers 36\u003c\/p\u003e \u003cp\u003e2.9 Current and Voltage Intuitions 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Opamp Models and Resistive Circuits 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction and Ideal Opamp Model Results Overview 39\u003c\/p\u003e \u003cp\u003e3.2 Ideal Opamp Resistive Amplifier Circuits 41\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Reactive Circuit Elements 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Capacitor and Inductor Comparison Summary 45\u003c\/p\u003e \u003cp\u003e4.2 Capacitors 47\u003c\/p\u003e \u003cp\u003e4.3 Inductors 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2 First-Order Circuits 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 First-Order RC and RL Circuits Introduction 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 What are First-Order Circuits? 59\u003c\/p\u003e \u003cp\u003e5.2 Intuitive First-Order Circuit Frequency Domain Examples 61\u003c\/p\u003e \u003cp\u003e5.3 First-Order Natural and Step Response Overview 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 First-Order Frequency Domain Response 65\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 First-Order Frequency Response Overview 65\u003c\/p\u003e \u003cp\u003e6.2 Series RC High-pass Filter Frequency Response 71\u003c\/p\u003e \u003cp\u003e6.3 Series RL Low-pass Filter Frequency Response 89\u003c\/p\u003e \u003cp\u003e6.4 Series RC Low-pass Filter Frequency Response 108\u003c\/p\u003e \u003cp\u003e6.6 Parallel RL Low-pass Filter Frequency Response 128\u003c\/p\u003e \u003cp\u003e6.7 Parallel RC High-pass Filter Frequency Response 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Discharging and Charging First-Order RC and RL Circuits 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Discharging RC and RL Circuits – Natural Response 149\u003c\/p\u003e \u003cp\u003e7.2 Charging RC and RL Circuits – Step Response 153\u003c\/p\u003e \u003cp\u003e7.3 The Exponential Time Constant τ (Tau) 155\u003c\/p\u003e \u003cp\u003e7.4 Pulse Train Time Constants Simulation Example 156\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Natural Response of RC and RL Circuits 159\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 RC and RL Circuits Natural Response Summary 159\u003c\/p\u003e \u003cp\u003e8.2 RC and RL Natural Response Derivation 160\u003c\/p\u003e \u003cp\u003e8.3 RC Natural Response (ZIR) Time Constants and Initial Current 166\u003c\/p\u003e \u003cp\u003e8.4 Natural Response of Series RL with Voltage Source 167\u003c\/p\u003e \u003cp\u003e8.5 First-Order RC and RL Natural Response Summary 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 First-Order Step Response of RC and RL Circuits 173\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 First-Order Step Response Summary Overview 173\u003c\/p\u003e \u003cp\u003e9.2 Intuitive Analysis of RC and RL Step Response 177\u003c\/p\u003e \u003cp\u003e9.3 Series RC Step Response Solution Using a Particular Solution 181\u003c\/p\u003e \u003cp\u003e9.4 Series RL Step Response Solution Using a Particular Solution 184\u003c\/p\u003e \u003cp\u003e9.5 Series RL Step Response with Voltage Source 188\u003c\/p\u003e \u003cp\u003e9.6 First-Order Step Response Summary 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Complete Response of First-Order RC and RL Circuits 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 First-Order Complete Response Summary Overview 191\u003c\/p\u003e \u003cp\u003e10.2 Series RC Complete Response Examples 192\u003c\/p\u003e \u003cp\u003e10.3 RL Complete Response Example and Intuitive Analysis 195\u003c\/p\u003e \u003cp\u003e10.4 Complete Response with Switches 199\u003c\/p\u003e \u003cp\u003e10.5 Complete Response General Derivation and Formulae 202\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 First-Order Opamp Integrator and Differentiator Circuits 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 RC Integrator Circuit Step Response 207\u003c\/p\u003e \u003cp\u003e11.2 Opamp Integrator Circuit 208\u003c\/p\u003e \u003cp\u003e11.3 Opamp Inverting Differentiator Circuit 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3 Second-Order Circuits 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Second-Order RLC Circuits Overview 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 What are Second-Order Circuits? 213\u003c\/p\u003e \u003cp\u003e12.2 Resonance in the Frequency Domain 215\u003c\/p\u003e \u003cp\u003e12.3 Second-Order RLC Transfer Functions and Q 216\u003c\/p\u003e \u003cp\u003e12.4 Two Time Domain Responses 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Second-Order RLC Frequency Response 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Series and Parallel RLC Impedance 219\u003c\/p\u003e \u003cp\u003e13.2 Second-Order RLC Frequency Response 229\u003c\/p\u003e \u003cp\u003e13.3 Second-Order RLC Bandwidth and Quality Factor 238\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Second-Order RLC Circuit Natural Response 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Second-Order Natural Response Introduction 251\u003c\/p\u003e \u003cp\u003e14.2 Second-order Natural Response in Terms of R, L, and c 254\u003c\/p\u003e \u003cp\u003e14.3 Second-order Damping Variables α and ω 0 283\u003c\/p\u003e \u003cp\u003e14.4 Second-order Damping Ratio ζ – Zeta 291\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Second-Order RLC Step and Complete Response 299\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 RLC Step Response Intuitive Overview 299\u003c\/p\u003e \u003cp\u003e15.2 RLC Step Response Detailed Analyses 301\u003c\/p\u003e \u003cp\u003e15.3 Parallel RLC Intuitive Step Response Example 303\u003c\/p\u003e \u003cp\u003e15.4 Complete RLC Time Domain Response 305\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4 Technical Background Topics 307\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Complex Numbers, Exponentials, and Phasors 309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Imaginary and Complex Numbers 309\u003c\/p\u003e \u003cp\u003e16.2 Exponentials, Complex Numbers, and Trigonometry 311\u003c\/p\u003e \u003cp\u003e16.3 Phasors and Sinusoidal Steady State 314\u003c\/p\u003e \u003cp\u003eIndex 319\u003c\/p\u003e \u003cp\u003e\u003cb\u003eRobert O'Rourke\u003c\/b\u003e 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.\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eHelp protect your network with this important reference work on cyber security\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eFirst 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.  \u003c\/p\u003e\u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eprovides 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, \u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eoffers readers the opportunity to learn circuit theory faster and with greater understanding.  \u003c\/p\u003e\u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003ereaders will also find:  \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eRoot locus charts of second order characteristic equation roots both in terms of damping factor ζ as well as damping constant α. \u003c\/li\u003e\n\u003cli\u003eDetailed treatment of quality factor Q and its relationship to bandwidth and damping in both frequency and time domains. \u003c\/li\u003e\n\u003cli\u003eInductor and capacitor branch relationship step response insights in terms of calculus intuition. \u003c\/li\u003e\n\u003cli\u003eDerivations of voltage divider and current divider formulae in terms of Kirchhoff’s laws. \u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003e\u003ci\u003eFirst and Second Order Circuits and Equations \u003c\/i\u003eis 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.\u003c\/p\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Default Title","offer_id":47989215756517,"sku":"NP9781119913535","price":140.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119913535.jpg?v=1761783240","url":"https:\/\/k12savings.com\/products\/first-and-second-order-circuits-and-equations-isbn-9781119913535","provider":"K12savings","version":"1.0","type":"link"}