Clayton R Paul
Inductance
Clayton R Paul
Inductance
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The only resource devoted Solely to Inductance Inductance is an unprecedented text, thoroughly discussing "loop" inductance as well as the increasingly important "partial" inductance. These concepts and their proper calculation are crucial in designing modern high-speed digital systems. World-renowned leader in electromagnetics Clayton Paul provides the knowledge and tools necessary to understand and calculate inductance. Unlike other texts, Inductance provides all the details about the derivations of the inductances of various inductors, as well as: * Fills the need for practical knowledge of…mehr
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The only resource devoted Solely to Inductance Inductance is an unprecedented text, thoroughly discussing "loop" inductance as well as the increasingly important "partial" inductance. These concepts and their proper calculation are crucial in designing modern high-speed digital systems. World-renowned leader in electromagnetics Clayton Paul provides the knowledge and tools necessary to understand and calculate inductance. Unlike other texts, Inductance provides all the details about the derivations of the inductances of various inductors, as well as: * Fills the need for practical knowledge of partial inductance, which is essential to the prediction of power rail collapse and ground bounce problems in high-speed digital systems * Provides a needed refresher on the topics of magnetic fields * Addresses a missing link: the calculation of the values of the various physical constructions of inductors--both intentional inductors and unintentional inductors--from basic electromagnetic principles and laws * Features the detailed derivation of the loop and partial inductances of numerous configurations of current-carrying conductors With the present and increasing emphasis on high-speed digital systems and high-frequency analog systems, it is imperative that system designers develop an intimate understanding of the concepts and methods in this book. Inductance is a much-needed textbook designed for senior and graduate-level engineering students, as well as a hands-on guide for working engineers and professionals engaged in the design of high-speed digital and high-frequency analog systems.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons / Wiley
- Seitenzahl: 400
- Erscheinungstermin: 1. Dezember 2009
- Englisch
- Abmessung: 240mm x 161mm x 26mm
- Gewicht: 756g
- ISBN-13: 9780470461884
- ISBN-10: 0470461888
- Artikelnr.: 28164879
- Verlag: John Wiley & Sons / Wiley
- Seitenzahl: 400
- Erscheinungstermin: 1. Dezember 2009
- Englisch
- Abmessung: 240mm x 161mm x 26mm
- Gewicht: 756g
- ISBN-13: 9780470461884
- ISBN-10: 0470461888
- Artikelnr.: 28164879
Clayton R. Paul received his PhD in electrical engineering from Purdue University. He is the Sam Nunn Eminent Professor of Electrical and Computer Engineering at Mercer University in Macon, Georgia. Dr. Paul is also Emeritus (retired with distinction after 27 years on the faculty) Professor of Electrical Engineering at the University of Kentucky. He is the author of 15 textbooks on electrical engineering subjects and has published over 200 technical papers, the majority of which are in his primary research area of the electromagnetic compatibility (EMC) of electronic systems. Dr. Paul is a Life Fellow member of the Institute of Electrical and Electronics Engineers (IEEE) and an Honorary Life Member of the IEEE EMC Society. He received the prestigious 2005 IEEE Electromagnetics Award and the 2007 IEEE Undergraduate Teaching Award.
Preface. 1 Introduction. 1.1 Historical Background. 1.2 Fundamental
Concepts of Lumped Circuits. 1.3 Outline of the Book. 1.4 "Loop" Inductance
vs. "Partial" Inductance. 2 Magnetic Fields of DC Currents (Steady Flow of
Charge). 2.1 Magnetic Field Vectors and Properties of Materials. 2.2
Gauss's Law for the Magnetic Field and the Surface Integral. 2.3 The
Biot-Savart Law. 2.4 Ampére's Law and the Line Integral. 2.5 Vector
Magnetic Potential. 2.5.1 Leibnitz's Rule: Differentiate Before You
Integrate. 2.6 Determining the Inductance of a Current Loop:. A Preliminary
Discussion. 2.7 Energy Stored in the Magnetic Field. 2.8 The Method of
Images. 2.9 Steady (DC) Currents Must Form Closed Loops. 3 Fields of
Time-Varying Currents (Accelerated Charge). 3.1 Faraday's Fundamental Law
of Induction. 3.2 Ampère's Law and Displacement Current. 3.3 Waves,
Wavelength, Time Delay, and Electrical Dimensions. 3.4 How Can Results
Derived Using Static (DC) Voltages and Currents be Used in Problems Where
the Voltages and Currents are Varying with Time?. 3.5 Vector Magnetic
Potential for Time-Varying Currents. 3.6 Conservation of Energy and
Poynting's Theorem. 3.7 Inductance of a Conducting Loop. 4 The Concept of
"Loop" Inductance. 4.1 Self Inductance of a Current Loop from Faraday's Law
of Induction. 4.1.1 Rectangular Loop. 4.1.2 Circular Loop. 4.1.3 Coaxial
Cable. 4.2 The Concept of Flux Linkages for Multiturn Loops. 4.2.1
Solenoid. 4.2.2 Toroid. 4.3 Loop Inductance Using the Vector Magnetic
Potential. 4.3.1 Rectangular Loop. 4.3.2 Circular Loop. 4.4 Neumann
Integral for Self and Mutual Inductances Between Current Loops. 4.4.1
Mutual Inductance Between Two Circular Loops. 4.4.2 Self Inductance of the
Rectangular Loop. 4.4.3 Self Inductance of the Circular Loop. 4.5 Internal
Inductance vs. External Inductance. 4.6 Use of Filamentary Currents and
Current Redistribution Due to the Proximity Effect. 4.6.1 Two-Wire
Transmission Line. 4.6.2 One Wire Above a Ground Plane. 4.7 Energy Storage
Method for Computing Loop Inductance. 4.7.1 Internal Inductance of a Wire.
4.7.2 Two-Wire Transmission Line. 4.7.3 Coaxial Cable. 4.8 Loop Inductance
Matrix for Coupled Current Loops. 4.8.1 Dot Convention. 4.8.2
Multiconductor Transmission Lines. 4.9 Loop Inductances of Printed Circuit
Board Lands. 4.10 Summary of Methods for Computing Loop Inductance. 4.10.1
Mutual Inductance Between Two Rectangular Loops. 5 The Concept of "Partial"
Inductance. 5.1 General Meaning of Partial Inductance. 5.2 Physical Meaning
of Partial Inductance. 5.3 Self Partial Inductance of Wires. 5.4 Mutual
Partial Inductance Between Parallel Wires. 5.5 Mutual Partial Inductance
Between Parallel Wires that are Offset. 5.6 Mutual Partial Inductance
Between Wires at an Angle to Each Other. 5.7 Numerical Values of Partial
Inductances and Significance of Internal Inductance. 5.8 Constructing
Lumped Equivalent Circuits with Partial Inductances. 6 Partial Inductances
of Conductors of Rectangular Cross Section. 6.1 Formulation for the
Computation of the Partial Inductances of PCB Lands. 6.2 Self Partial
Inductance of PCB Lands. 6.3 Mutual Partial Inductance Between PCB Lands.
6.4 Concept of Geometric Mean Distance. 6.4.1 Geometrical Mean Distance
Between a Shape and Itself and the Self Partial Inductance of a Shape.
6.4.2 Geometrical Mean Distance and Mutual Partial Inductance Between Two
Shapes. 6.5 Computing the High-Frequency Partial Inductances of Lands and
Numerical Methods. 7 "Loop" Inductance vs. "Partial" Inductance. 7.1 Loop
Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional
Inductors. 7.2 To Compute "Loop" Inductance, the "Return Path" for the
Current Must be Determined. 7.3 Generally, There is no Unique Return Path
for all Frequencies, Thereby Complicating the Calculation of a "Loop"
Inductance. 7.4 Computing the "Ground Bounce" and "Power Rail Collapse" of
a Digital Power Distribution System Using "Loop" Inductances. 7.5 Where
Should the "Loop" Inductance of the Closed Current Path be Placed When
Developing a Lumped-Circuit Model of a Signal or Power Delivery Path?. 7.6
How Can a Lumped-Circuit Model of a Complicated System of a Large Number of
Tightly Coupled Current Loops be Constructed Using "Loop" Inductance?. 7.7
Modeling Vias on PCBs. 7.8 Modeling Pins in Connectors. 7.9 Net Self
Inductance of Wires in Parallel and in Series. 7.10 Computation of Loop
Inductances for Various Loop Shapes. 7.11 Final Example: Use of Loop and
Partial Inductance to Solve a Problem. Appendix A: Fundamental Concepts of
Vectors. A.1 Vectors and Coordinate Systems. A.2 Line Integral. A.3 Surface
Integral. A.4 Divergence. A.4.1 Divergence Theorem. A.5 Curl. A.5.1
Stokes's Theorem. A.6 Gradient of a Scalar Field. A.7 Important Vector
Identities. A.8 Cylindrical Coordinate System. A.9 Spherical Coordinate
System. Table of Identities, Derivatives, and Integrals Used in this Book.
References and Further Readings. Index.
Concepts of Lumped Circuits. 1.3 Outline of the Book. 1.4 "Loop" Inductance
vs. "Partial" Inductance. 2 Magnetic Fields of DC Currents (Steady Flow of
Charge). 2.1 Magnetic Field Vectors and Properties of Materials. 2.2
Gauss's Law for the Magnetic Field and the Surface Integral. 2.3 The
Biot-Savart Law. 2.4 Ampére's Law and the Line Integral. 2.5 Vector
Magnetic Potential. 2.5.1 Leibnitz's Rule: Differentiate Before You
Integrate. 2.6 Determining the Inductance of a Current Loop:. A Preliminary
Discussion. 2.7 Energy Stored in the Magnetic Field. 2.8 The Method of
Images. 2.9 Steady (DC) Currents Must Form Closed Loops. 3 Fields of
Time-Varying Currents (Accelerated Charge). 3.1 Faraday's Fundamental Law
of Induction. 3.2 Ampère's Law and Displacement Current. 3.3 Waves,
Wavelength, Time Delay, and Electrical Dimensions. 3.4 How Can Results
Derived Using Static (DC) Voltages and Currents be Used in Problems Where
the Voltages and Currents are Varying with Time?. 3.5 Vector Magnetic
Potential for Time-Varying Currents. 3.6 Conservation of Energy and
Poynting's Theorem. 3.7 Inductance of a Conducting Loop. 4 The Concept of
"Loop" Inductance. 4.1 Self Inductance of a Current Loop from Faraday's Law
of Induction. 4.1.1 Rectangular Loop. 4.1.2 Circular Loop. 4.1.3 Coaxial
Cable. 4.2 The Concept of Flux Linkages for Multiturn Loops. 4.2.1
Solenoid. 4.2.2 Toroid. 4.3 Loop Inductance Using the Vector Magnetic
Potential. 4.3.1 Rectangular Loop. 4.3.2 Circular Loop. 4.4 Neumann
Integral for Self and Mutual Inductances Between Current Loops. 4.4.1
Mutual Inductance Between Two Circular Loops. 4.4.2 Self Inductance of the
Rectangular Loop. 4.4.3 Self Inductance of the Circular Loop. 4.5 Internal
Inductance vs. External Inductance. 4.6 Use of Filamentary Currents and
Current Redistribution Due to the Proximity Effect. 4.6.1 Two-Wire
Transmission Line. 4.6.2 One Wire Above a Ground Plane. 4.7 Energy Storage
Method for Computing Loop Inductance. 4.7.1 Internal Inductance of a Wire.
4.7.2 Two-Wire Transmission Line. 4.7.3 Coaxial Cable. 4.8 Loop Inductance
Matrix for Coupled Current Loops. 4.8.1 Dot Convention. 4.8.2
Multiconductor Transmission Lines. 4.9 Loop Inductances of Printed Circuit
Board Lands. 4.10 Summary of Methods for Computing Loop Inductance. 4.10.1
Mutual Inductance Between Two Rectangular Loops. 5 The Concept of "Partial"
Inductance. 5.1 General Meaning of Partial Inductance. 5.2 Physical Meaning
of Partial Inductance. 5.3 Self Partial Inductance of Wires. 5.4 Mutual
Partial Inductance Between Parallel Wires. 5.5 Mutual Partial Inductance
Between Parallel Wires that are Offset. 5.6 Mutual Partial Inductance
Between Wires at an Angle to Each Other. 5.7 Numerical Values of Partial
Inductances and Significance of Internal Inductance. 5.8 Constructing
Lumped Equivalent Circuits with Partial Inductances. 6 Partial Inductances
of Conductors of Rectangular Cross Section. 6.1 Formulation for the
Computation of the Partial Inductances of PCB Lands. 6.2 Self Partial
Inductance of PCB Lands. 6.3 Mutual Partial Inductance Between PCB Lands.
6.4 Concept of Geometric Mean Distance. 6.4.1 Geometrical Mean Distance
Between a Shape and Itself and the Self Partial Inductance of a Shape.
6.4.2 Geometrical Mean Distance and Mutual Partial Inductance Between Two
Shapes. 6.5 Computing the High-Frequency Partial Inductances of Lands and
Numerical Methods. 7 "Loop" Inductance vs. "Partial" Inductance. 7.1 Loop
Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional
Inductors. 7.2 To Compute "Loop" Inductance, the "Return Path" for the
Current Must be Determined. 7.3 Generally, There is no Unique Return Path
for all Frequencies, Thereby Complicating the Calculation of a "Loop"
Inductance. 7.4 Computing the "Ground Bounce" and "Power Rail Collapse" of
a Digital Power Distribution System Using "Loop" Inductances. 7.5 Where
Should the "Loop" Inductance of the Closed Current Path be Placed When
Developing a Lumped-Circuit Model of a Signal or Power Delivery Path?. 7.6
How Can a Lumped-Circuit Model of a Complicated System of a Large Number of
Tightly Coupled Current Loops be Constructed Using "Loop" Inductance?. 7.7
Modeling Vias on PCBs. 7.8 Modeling Pins in Connectors. 7.9 Net Self
Inductance of Wires in Parallel and in Series. 7.10 Computation of Loop
Inductances for Various Loop Shapes. 7.11 Final Example: Use of Loop and
Partial Inductance to Solve a Problem. Appendix A: Fundamental Concepts of
Vectors. A.1 Vectors and Coordinate Systems. A.2 Line Integral. A.3 Surface
Integral. A.4 Divergence. A.4.1 Divergence Theorem. A.5 Curl. A.5.1
Stokes's Theorem. A.6 Gradient of a Scalar Field. A.7 Important Vector
Identities. A.8 Cylindrical Coordinate System. A.9 Spherical Coordinate
System. Table of Identities, Derivatives, and Integrals Used in this Book.
References and Further Readings. Index.
Preface. 1 Introduction. 1.1 Historical Background. 1.2 Fundamental
Concepts of Lumped Circuits. 1.3 Outline of the Book. 1.4 "Loop" Inductance
vs. "Partial" Inductance. 2 Magnetic Fields of DC Currents (Steady Flow of
Charge). 2.1 Magnetic Field Vectors and Properties of Materials. 2.2
Gauss's Law for the Magnetic Field and the Surface Integral. 2.3 The
Biot-Savart Law. 2.4 Ampére's Law and the Line Integral. 2.5 Vector
Magnetic Potential. 2.5.1 Leibnitz's Rule: Differentiate Before You
Integrate. 2.6 Determining the Inductance of a Current Loop:. A Preliminary
Discussion. 2.7 Energy Stored in the Magnetic Field. 2.8 The Method of
Images. 2.9 Steady (DC) Currents Must Form Closed Loops. 3 Fields of
Time-Varying Currents (Accelerated Charge). 3.1 Faraday's Fundamental Law
of Induction. 3.2 Ampère's Law and Displacement Current. 3.3 Waves,
Wavelength, Time Delay, and Electrical Dimensions. 3.4 How Can Results
Derived Using Static (DC) Voltages and Currents be Used in Problems Where
the Voltages and Currents are Varying with Time?. 3.5 Vector Magnetic
Potential for Time-Varying Currents. 3.6 Conservation of Energy and
Poynting's Theorem. 3.7 Inductance of a Conducting Loop. 4 The Concept of
"Loop" Inductance. 4.1 Self Inductance of a Current Loop from Faraday's Law
of Induction. 4.1.1 Rectangular Loop. 4.1.2 Circular Loop. 4.1.3 Coaxial
Cable. 4.2 The Concept of Flux Linkages for Multiturn Loops. 4.2.1
Solenoid. 4.2.2 Toroid. 4.3 Loop Inductance Using the Vector Magnetic
Potential. 4.3.1 Rectangular Loop. 4.3.2 Circular Loop. 4.4 Neumann
Integral for Self and Mutual Inductances Between Current Loops. 4.4.1
Mutual Inductance Between Two Circular Loops. 4.4.2 Self Inductance of the
Rectangular Loop. 4.4.3 Self Inductance of the Circular Loop. 4.5 Internal
Inductance vs. External Inductance. 4.6 Use of Filamentary Currents and
Current Redistribution Due to the Proximity Effect. 4.6.1 Two-Wire
Transmission Line. 4.6.2 One Wire Above a Ground Plane. 4.7 Energy Storage
Method for Computing Loop Inductance. 4.7.1 Internal Inductance of a Wire.
4.7.2 Two-Wire Transmission Line. 4.7.3 Coaxial Cable. 4.8 Loop Inductance
Matrix for Coupled Current Loops. 4.8.1 Dot Convention. 4.8.2
Multiconductor Transmission Lines. 4.9 Loop Inductances of Printed Circuit
Board Lands. 4.10 Summary of Methods for Computing Loop Inductance. 4.10.1
Mutual Inductance Between Two Rectangular Loops. 5 The Concept of "Partial"
Inductance. 5.1 General Meaning of Partial Inductance. 5.2 Physical Meaning
of Partial Inductance. 5.3 Self Partial Inductance of Wires. 5.4 Mutual
Partial Inductance Between Parallel Wires. 5.5 Mutual Partial Inductance
Between Parallel Wires that are Offset. 5.6 Mutual Partial Inductance
Between Wires at an Angle to Each Other. 5.7 Numerical Values of Partial
Inductances and Significance of Internal Inductance. 5.8 Constructing
Lumped Equivalent Circuits with Partial Inductances. 6 Partial Inductances
of Conductors of Rectangular Cross Section. 6.1 Formulation for the
Computation of the Partial Inductances of PCB Lands. 6.2 Self Partial
Inductance of PCB Lands. 6.3 Mutual Partial Inductance Between PCB Lands.
6.4 Concept of Geometric Mean Distance. 6.4.1 Geometrical Mean Distance
Between a Shape and Itself and the Self Partial Inductance of a Shape.
6.4.2 Geometrical Mean Distance and Mutual Partial Inductance Between Two
Shapes. 6.5 Computing the High-Frequency Partial Inductances of Lands and
Numerical Methods. 7 "Loop" Inductance vs. "Partial" Inductance. 7.1 Loop
Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional
Inductors. 7.2 To Compute "Loop" Inductance, the "Return Path" for the
Current Must be Determined. 7.3 Generally, There is no Unique Return Path
for all Frequencies, Thereby Complicating the Calculation of a "Loop"
Inductance. 7.4 Computing the "Ground Bounce" and "Power Rail Collapse" of
a Digital Power Distribution System Using "Loop" Inductances. 7.5 Where
Should the "Loop" Inductance of the Closed Current Path be Placed When
Developing a Lumped-Circuit Model of a Signal or Power Delivery Path?. 7.6
How Can a Lumped-Circuit Model of a Complicated System of a Large Number of
Tightly Coupled Current Loops be Constructed Using "Loop" Inductance?. 7.7
Modeling Vias on PCBs. 7.8 Modeling Pins in Connectors. 7.9 Net Self
Inductance of Wires in Parallel and in Series. 7.10 Computation of Loop
Inductances for Various Loop Shapes. 7.11 Final Example: Use of Loop and
Partial Inductance to Solve a Problem. Appendix A: Fundamental Concepts of
Vectors. A.1 Vectors and Coordinate Systems. A.2 Line Integral. A.3 Surface
Integral. A.4 Divergence. A.4.1 Divergence Theorem. A.5 Curl. A.5.1
Stokes's Theorem. A.6 Gradient of a Scalar Field. A.7 Important Vector
Identities. A.8 Cylindrical Coordinate System. A.9 Spherical Coordinate
System. Table of Identities, Derivatives, and Integrals Used in this Book.
References and Further Readings. Index.
Concepts of Lumped Circuits. 1.3 Outline of the Book. 1.4 "Loop" Inductance
vs. "Partial" Inductance. 2 Magnetic Fields of DC Currents (Steady Flow of
Charge). 2.1 Magnetic Field Vectors and Properties of Materials. 2.2
Gauss's Law for the Magnetic Field and the Surface Integral. 2.3 The
Biot-Savart Law. 2.4 Ampére's Law and the Line Integral. 2.5 Vector
Magnetic Potential. 2.5.1 Leibnitz's Rule: Differentiate Before You
Integrate. 2.6 Determining the Inductance of a Current Loop:. A Preliminary
Discussion. 2.7 Energy Stored in the Magnetic Field. 2.8 The Method of
Images. 2.9 Steady (DC) Currents Must Form Closed Loops. 3 Fields of
Time-Varying Currents (Accelerated Charge). 3.1 Faraday's Fundamental Law
of Induction. 3.2 Ampère's Law and Displacement Current. 3.3 Waves,
Wavelength, Time Delay, and Electrical Dimensions. 3.4 How Can Results
Derived Using Static (DC) Voltages and Currents be Used in Problems Where
the Voltages and Currents are Varying with Time?. 3.5 Vector Magnetic
Potential for Time-Varying Currents. 3.6 Conservation of Energy and
Poynting's Theorem. 3.7 Inductance of a Conducting Loop. 4 The Concept of
"Loop" Inductance. 4.1 Self Inductance of a Current Loop from Faraday's Law
of Induction. 4.1.1 Rectangular Loop. 4.1.2 Circular Loop. 4.1.3 Coaxial
Cable. 4.2 The Concept of Flux Linkages for Multiturn Loops. 4.2.1
Solenoid. 4.2.2 Toroid. 4.3 Loop Inductance Using the Vector Magnetic
Potential. 4.3.1 Rectangular Loop. 4.3.2 Circular Loop. 4.4 Neumann
Integral for Self and Mutual Inductances Between Current Loops. 4.4.1
Mutual Inductance Between Two Circular Loops. 4.4.2 Self Inductance of the
Rectangular Loop. 4.4.3 Self Inductance of the Circular Loop. 4.5 Internal
Inductance vs. External Inductance. 4.6 Use of Filamentary Currents and
Current Redistribution Due to the Proximity Effect. 4.6.1 Two-Wire
Transmission Line. 4.6.2 One Wire Above a Ground Plane. 4.7 Energy Storage
Method for Computing Loop Inductance. 4.7.1 Internal Inductance of a Wire.
4.7.2 Two-Wire Transmission Line. 4.7.3 Coaxial Cable. 4.8 Loop Inductance
Matrix for Coupled Current Loops. 4.8.1 Dot Convention. 4.8.2
Multiconductor Transmission Lines. 4.9 Loop Inductances of Printed Circuit
Board Lands. 4.10 Summary of Methods for Computing Loop Inductance. 4.10.1
Mutual Inductance Between Two Rectangular Loops. 5 The Concept of "Partial"
Inductance. 5.1 General Meaning of Partial Inductance. 5.2 Physical Meaning
of Partial Inductance. 5.3 Self Partial Inductance of Wires. 5.4 Mutual
Partial Inductance Between Parallel Wires. 5.5 Mutual Partial Inductance
Between Parallel Wires that are Offset. 5.6 Mutual Partial Inductance
Between Wires at an Angle to Each Other. 5.7 Numerical Values of Partial
Inductances and Significance of Internal Inductance. 5.8 Constructing
Lumped Equivalent Circuits with Partial Inductances. 6 Partial Inductances
of Conductors of Rectangular Cross Section. 6.1 Formulation for the
Computation of the Partial Inductances of PCB Lands. 6.2 Self Partial
Inductance of PCB Lands. 6.3 Mutual Partial Inductance Between PCB Lands.
6.4 Concept of Geometric Mean Distance. 6.4.1 Geometrical Mean Distance
Between a Shape and Itself and the Self Partial Inductance of a Shape.
6.4.2 Geometrical Mean Distance and Mutual Partial Inductance Between Two
Shapes. 6.5 Computing the High-Frequency Partial Inductances of Lands and
Numerical Methods. 7 "Loop" Inductance vs. "Partial" Inductance. 7.1 Loop
Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional
Inductors. 7.2 To Compute "Loop" Inductance, the "Return Path" for the
Current Must be Determined. 7.3 Generally, There is no Unique Return Path
for all Frequencies, Thereby Complicating the Calculation of a "Loop"
Inductance. 7.4 Computing the "Ground Bounce" and "Power Rail Collapse" of
a Digital Power Distribution System Using "Loop" Inductances. 7.5 Where
Should the "Loop" Inductance of the Closed Current Path be Placed When
Developing a Lumped-Circuit Model of a Signal or Power Delivery Path?. 7.6
How Can a Lumped-Circuit Model of a Complicated System of a Large Number of
Tightly Coupled Current Loops be Constructed Using "Loop" Inductance?. 7.7
Modeling Vias on PCBs. 7.8 Modeling Pins in Connectors. 7.9 Net Self
Inductance of Wires in Parallel and in Series. 7.10 Computation of Loop
Inductances for Various Loop Shapes. 7.11 Final Example: Use of Loop and
Partial Inductance to Solve a Problem. Appendix A: Fundamental Concepts of
Vectors. A.1 Vectors and Coordinate Systems. A.2 Line Integral. A.3 Surface
Integral. A.4 Divergence. A.4.1 Divergence Theorem. A.5 Curl. A.5.1
Stokes's Theorem. A.6 Gradient of a Scalar Field. A.7 Important Vector
Identities. A.8 Cylindrical Coordinate System. A.9 Spherical Coordinate
System. Table of Identities, Derivatives, and Integrals Used in this Book.
References and Further Readings. Index.