Book description
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 highspeed digital systems. Worldrenowned 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 highspeed 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 currentcarrying conductors
With the present and increasing emphasis on highspeed digital systems and highfrequency analog systems, it is imperative that system designers develop an intimate understanding of the concepts and methods in this book. Inductance is a muchneeded textbook designed for senior and graduatelevel engineering students, as well as a handson guide for working engineers and professionals engaged in the design of highspeed digital and highfrequency analog systems.
Table of contents
 Cover
 Title
 Copyright
 PREFACE
 1: INTRODUCTION

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 BIOTSAVART LAW
 2.4 AMPÈRE'S LAW AND THE LINE INTEGRAL
 2.5 VECTOR MAGNETIC POTENTIAL
 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 TIMEVARYING CURRENTS (ACCELERATED CHARGE)
 3.1 FARADAY'S FUNDAMENTAL LAW OF INDUCTION
 3.2 AMPERE'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 TIMEVARYING 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
 4.2 THE CONCEPT OF FLUX LINKAGES FOR MULTITURN LOOPS
 4.3 LOOP INDUCTANCE USING THE VECTOR MAGNETIC POTENTIAL
 4.4 NEUMANN INTEGRAL FOR SELF AND MUTUAL INDUCTANCES BETWEEN CURRENT LOOPS
 4.5 INTERNAL INDUCTANCE VS. EXTERNAL INDUCTANCE
 4.6 USE OF FILAMENTARY CURRENTS AND CURRENT REDISTRIBUTION DUE TO THE PROXIMITY EFFECT
 4.7 ENERGY STORAGE METHOD FOR COMPUTING LOOP INDUCTANCE
 4.8 LOOP INDUCTANCE MATRIX FOR COUPLED CURRENT LOOPS
 4.9 LOOP INDUCTANCES OF PRINTED CIRCUIT BOARD LANDS
 4.10 SUMMARY OF METHODS FOR COMPUTING LOOP INDUCTANCE

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

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 LUMPEDCIRCUIT MODEL OF A SIGNAL OR POWER DELIVERY PATH?
 7.6 HOW CAN A LUMPEDCIRCUIT 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: FUNDAMENTAL CONCEPTS OF VECTORS
 TABLE OF IDENTITIES, DERIVATIVES, AND INTEGRALS USED IN THIS BOOK
 REFERENCES AND FURTHER READINGS
 INDEX
Product information
 Title: Inductance: Loop and Partial
 Author(s):
 Release date: December 2009
 Publisher(s): WileyIEEE Press
 ISBN: 9780470461884
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