Inductance Loop and Partial

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ISBN: 9780470461884 | 0470461888
Cover: Hardcover
Copyright: 12/30/2009

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This is an unprecedented text, thoroughly illuminating "loop inductance" as well as the increasingly important "partial inductance", which are integral systems of understanding for the proper operation of high-speed digital systems. It fills a hole in the market and addresses industry-wide failure to adequately understand and calculate inductance, giving a badly needed refresher on magnetic fields. Written by a world-renowned leader and respected teacher in the field of Electromagnetics, this is a key text for graduate level engineering students, working engineers, and professionals engaged in electrical system scientific or research work.

Preface	p. xi
Introduction	p. 1
Historical Background	p. 1
Fundamental Concepts of Lumped Circuits	p. 2
Outline of the Book	p. 7
"Loop" Inductance vs. "Partial" Inductance	p. 8
Magnetic Fields of DC Currents (Steady Flow of Charge)	p. 13
Magnetic Field Vectors and Properties of Materials	p. 13
Gauss's Law for the Magnetic Field and the Surface Integral	p. 15
The Biot-Savart Law	p. 19
Ampère's Law and the Line Integral	p. 34
Vector Magnetic Potential	p. 47
Leibnitz's Rule: Differentiate Before You Integrate	p. 67
Determining the Inductance of a Current Loop: A Preliminary Discussion	p. 71
Energy Stored in the Magnetic Field	p. 79
The Method of Images	p. 80
Steady (DC) Currents Must Form Closed Loops	p. 83
Fields of Time-Varying Currents (Accelerated (Charge)	p. 87
Faraday's Fundamental Law of Induction	p. 88
Ampère's Law and Displacement Current	p. 98
Waves, Wavelength, Time-Delay, and Electrical Dimensions	p. 102
How Can Results Derived Using Static (DC) Voltages and Currents Be Used in Problems Where the Voltages and Currents Are Varying with Time?	p. 105
Vector Magnetic Potential for Time-Varying Currents	p. 107
Conservation of Energy and Poynting's Theorem	p. 111
Inductance of a Conducting Loop	p. 113
The Concept of "Loop" Inductance	p. 117
Self Inductance of a Current Loop from Faraday's Law of Induction	p. 117
Rectangular Loop	p. 121
Circular Loop	p. 126
Coaxial Cable	p. 130
The Concept of Flux Linkages for Multiturn Loops	p. 133
Solenoid	p. 134
Toroid	p. 137
Loop Inductance Using the Vector Magnetic Potential	p. 139
Rectangular Loop	p. 141
Circular Loop	p. 144
Neumann Integral for Self and Mutual Inductances Between Current Loops	p. 145
Mutual Inductance Between Two Circular Loops	p. 147
Self Inductance of the Rectangular Loop	p. 150
Self Inductance of the Circular Loop	p. 153
Internal Inductance vs. External Inductance	p. 155
Use of Filamentary Currents and Current Redistribution Due to the Proximity Effect	p. 158
Two-Wire Transmission Line	p. 159
One Wire Above a Ground Plane	p. 161
Energy Storage Method for Computing Loop Inductance	p. 163
Internal Inductance of a Wire	p. 164
Two-Wire Transmission Line	p. 165
Coaxial Cable	p. 165
Loop Inductance Matrix for Coupled Current Loops	p. 167
Dot Convention	p. 169
Multiconductor Transmission Lines	p. 171
Loop Inductances of Printed Circuit Board Lands	p. 179
Summary of Methods for Computing Loop Inductance	p. 182
Mutual Inductance Between Two Rectangular Loops	p. 184
The Concept of "Partial" Inductance	p. 195
General Meaning of Partial Inductance	p. 196
Physical Meaning of Partial Inductance	p. 201
Self Partial Inductance of Wires	p. 205
Mutual Partial Inductance Between Parallel Wires	p. 209
Mutual Partial Inductance Between Parallel Wires That Are Offset	p. 213
Mutual Partial Inductance Between Wires at an Angle to Each Other	p. 224
Numerical Values of Partial Inductances and Significance of Internal Inductance	p. 239
Constructing Lumped Equivalent Circuits with Partial Inductances	p. 242
Partial Inductances of Conductors of Rectangular Cross Section	p. 246
Formulation for the Computation of the Partial Inductances of PCB Lands	p. 248
Self Partial Inductance of PCB Lands	p. 254
Mutual Partial Inductance Between PCB Lands	p. 262
Concept of Geometric Mean Distance	p. 266
Geometrical Mean Distance Between a Shape and Itself and the Self Partial Inductance of a Shape	p. 273
Geometrical Mean Distance and Mutual Partial Inductance Between Two Shapes	p. 285
Computing the High-Frequency Partial Inductances of Lands and Numerical Methods	p. 291
"Loop" Inductance vs. "Partial" Inductance	p. 307
Loop Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional Inductors	p. 307
To Compute "Loop" Inductance, the "Return Path" for the Current Must Be Determined	p. 309
Generally, There Is No Unique Return Path for All Frequencies, Thereby Complicating the Calculation of a "Loop" Inductance	p. 311
Computing the "Ground Bounce" and "Power Rail Collapse" of a Digital Power Distribution System Using "Loop" Inductances	p. 312
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?	p. 314
How Can a Lumped-Circuit Model of a Complicated System of a Large Number of Tightly Coupled Current Loops Be Constructed Using "Loop" Inductance?	p. 317
Modeling Vias on PCBs	p. 318
Modeling Pins in Connectors	p. 320
Net Self Inductance of Wires in Parallel and in Series	p. 321
Computation of Loop Inductances for Various Loop Shapes	p. 324
Final Example: Use of Loop and Partial Inductance to Solve a Problem	p. 328
Fundamental Concepts of Vectors	p. 335
Vectors and Coordinate Systems	p. 336
Line Integral	p. 340
Surface Integral	p. 343
Divergence	p. 345
Divergence Theorem	p. 347
Curl	p. 350
Stokes's Theorem	p. 353
Gradient of a Scalar Field	p. 354
Important Vector Identities	p. 357
Cylindrical Coordinate System	p. 358
Spherical Coordinate System	p. 362
Table of Identities, Derivatives, and Integrals Used in This Book	p. 367
References and Further Readings	p. 373
Index	p. 377
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Inductance Loop and Partial

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