Inductance: Loop and Partial

CONTENTS

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 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 TIME-VARYING 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 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

4.2 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 ...