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| Preface | |
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| Introduction | |
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| Historical Background | |
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| Fundamental Concepts of Lumped Circuits | |
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| Outline of the Book | |
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| "Loop" Inductance vs. "Partial" Inductance | |
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| Magnetic Fields of DC Currents (Steady Flow of Charge) | |
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| Magnetic Field Vectors and Properties of Materials | |
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| Gauss's Law for the Magnetic Field and the Surface Integral | |
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| The Biot-Savart Law | |
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| Amp�re's Law and the Line Integral | |
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| Vector Magnetic Potential | |
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| Leibnitz's Rule: Differentiate Before You Integrate | |
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| Determining the Inductance of a Current Loop: A Preliminary Discussion | |
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| Energy Stored in the Magnetic Field | |
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| The Method of Images | |
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| Steady (DC) Currents Must Form Closed Loops | |
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| Fields of Time-Varying Currents (Accelerated (Charge) | |
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| Faraday's Fundamental Law of Induction | |
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| Amp�re's Law and Displacement Current | |
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| Waves, Wavelength, Time-Delay, and Electrical Dimensions | |
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| How Can Results Derived Using Static (DC) Voltages and Currents Be Used in Problems Where the Voltages and Currents Are Varying with Time? | |
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| Vector Magnetic Potential for Time-Varying Currents | |
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| Conservation of Energy and Poynting's Theorem | |
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| Inductance of a Conducting Loop | |
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| The Concept of "Loop" Inductance | |
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| Self Inductance of a Current Loop from Faraday's Law of Induction | |
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| Rectangular Loop | |
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| Circular Loop | |
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| Coaxial Cable | |
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| The Concept of Flux Linkages for Multiturn Loops | |
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| Solenoid | |
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| Toroid | |
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| Loop Inductance Using the Vector Magnetic Potential | |
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| Rectangular Loop | |
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| Circular Loop | |
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| Neumann Integral for Self and Mutual Inductances Between Current Loops | |
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| Mutual Inductance Between Two Circular Loops | |
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| Self Inductance of the Rectangular Loop | |
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| Self Inductance of the Circular Loop | |
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| Internal Inductance vs. External Inductance | |
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| Use of Filamentary Currents and Current Redistribution Due to the Proximity Effect | |
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| Two-Wire Transmission Line | |
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| One Wire Above a Ground Plane | |
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| Energy Storage Method for Computing Loop Inductance | |
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| Internal Inductance of a Wire | |
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| Two-Wire Transmission Line | |
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| Coaxial Cable | |
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| Loop Inductance Matrix for Coupled Current Loops | |
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| Dot Convention | |
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| Multiconductor Transmission Lines | |
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| Loop Inductances of Printed Circuit Board Lands | |
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| Summary of Methods for Computing Loop Inductance | |
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| Mutual Inductance Between Two Rectangular Loops | |
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| The Concept of "Partial" Inductance | |
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| General Meaning of Partial Inductance | |
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| Physical Meaning of Partial Inductance | |
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| Self Partial Inductance of Wires | |
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| Mutual Partial Inductance Between Parallel Wires | |
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| Mutual Partial Inductance Between Parallel Wires That Are Offset | |
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| Mutual Partial Inductance Between Wires at an Angle to Each Other | |
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| Numerical Values of Partial Inductances and Significance of Internal Inductance | |
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| Constructing Lumped Equivalent Circuits with Partial Inductances | |
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| Partial Inductances of Conductors of Rectangular Cross Section | |
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| Formulation for the Computation of the Partial Inductances of PCB Lands | |
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| Self Partial Inductance of PCB Lands | |
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| Mutual Partial Inductance Between PCB Lands | |
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| Concept of Geometric Mean Distance | |
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| Geometrical Mean Distance Between a Shape and Itself and the Self Partial Inductance of a Shape | |
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| Geometrical Mean Distance and Mutual Partial Inductance Between Two Shapes | |
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| Computing the High-Frequency Partial Inductances of Lands and Numerical Methods | |
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| "Loop" Inductance vs. "Partial" Inductance | |
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| Loop Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional Inductors | |
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| To Compute "Loop" Inductance, the "Return Path" for the Current Must Be Determined | |
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| Generally, There Is No Unique Return Path for All Frequencies, Thereby Complicating the Calculation of a "Loop" Inductance | |
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| Computing the "Ground Bounce" and "Power Rail Collapse" of a Digital Power Distribution System Using "Loop" Inductances | |
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| 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? | |
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| How Can a Lumped-Circuit Model of a Complicated System of a Large Number of Tightly Coupled Current Loops Be Constructed Using "Loop" Inductance? | |
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| Modeling Vias on PCBs | |
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| Modeling Pins in Connectors | |
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| Net Self Inductance of Wires in Parallel and in Series | |
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| Computation of Loop Inductances for Various Loop Shapes | |
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| Final Example: Use of Loop and Partial Inductance to Solve a Problem | |
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| Fundamental Concepts of Vectors | |
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| Vectors and Coordinate Systems | |
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| Line Integral | |
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| Surface Integral | |
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| Divergence | |
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| Divergence Theorem | |
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| Curl | |
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| Stokes's Theorem | |
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| Gradient of a Scalar Field | |
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| Important Vector Identities | |
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| Cylindrical Coordinate System | |
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| Spherical Coordinate System | |
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| Table of Identities, Derivatives, and Integrals Used in This Book | |
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| References and Further Readings | |
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| Index | |