Page 22 - Maxwell House

2 Chapter 1

Chapter Contents

1.6.2 Electric Potential
Introduction 3 20
1.1 MACROSCOPIC 1.6.3 Line of Force 21
1.6.4 Gauss’s Law for Electric
ELECTRODYNAMICS 3
1.1.1 Duality of Electromagnetic Fields (Axiom #2) and
Fields 3 Coulomb’s Law 22
1.1.2 Vector and Scalar 1.6.5 Is The Inverse-Square
Fields 4 Relation Imperative? 23
1.2 FUNDAMENTAL 1.6.6 How Much Is One
PRINCIPLES OF Coulomb (C)? 23
ELECTRODYNAMICS 5 1.6.7 Electric Field Reality 24
1.2.1 Symmetry in Nature and 1.6.8 Displacement Vector D.
Conservation Laws 5 3 Maxwell’s Equation 24
rd
1.2.2 Conservation Laws 5 1.6.9 Why Do We Need Extra
1.2.3 Nothing Exists Until D-Vector Describing
It Is Measured 6 E-Fields? 26
1.3 INTERNATIONAL 1.6.10 Electric Charge
METRIC SYSTEM OF Conservation Law in
UNITS (SI) 7 Differential Form 26
1.3.1 Nothing Exists Until It Is 1.6.11 Lorentz’s Force Equation and
Defined and Measured 1st Maxwell’s Equation 27
in Units 7 1.6.12 Is Magnetic Inductance Real
1.3.2 Derived SI Units 8 and Can Be Measured? 30
1.3.3 Dimensional Analysis and 1.6.13 Gauss’s Law for Magnetic
Unit Law 9 Field (Axiom #3). 4
th
1.3.4 Table of Mathematical Maxwell’s Equation 30
Operators in Use 11 1.6.14 Magnetic Lines of Force 31
1.4 EM FIELD SENSORS 12 1.6.15 Vector of Magnetic Field
1.4.1 Electric Monopole, Dipole, Strength. 2 Maxwell’s
nd
and Current Element as Equation 31
Field Sensors 12 1.6.16 Net Current Continuity and
1.4.2 Electric Current and its 2nd Maxwell’s Equation 33
Volume Density 1.6.17 Electric and Magnetic Energy 36
1.4.3 Charge Volume Density 13 1.7 ELECTRIC CURRENT AND
1.4.4 Magnetic Sensors 14 CHARGES AS SOURCES OF
1.5 HOUSE OF MAXWELL’S EM FIELDS 37
ELECTRODYNAMICS 16 1.7.1 Currents and Charges as
1.5.1 Introduction 16 Sources of EM Fields 37
1.5.2 Lorentz’s Force Equation 1.7.2 Convection Charges and
(Axiom #1) 16 Currents 39
1.5.3 House of Maxwell’s 1.8 MAXWELL’s EQUATIONS IN
Electrodynamics 17 PHASOR FORM 39
1.6 ELECTRIC AND MAGNETIC 1.8.1 Time and Frequency Domain 39
FIELD VECTORS 19 1.8.2 Maxwell’s Equations in Phasor
1.6.1 Vector of Electric Field Form 41
Strength 19 REFERENCES 42