Electromagnetics for Practicing Engineers: Electrostatics and Magnetostatics

ELECTROMAGNETICS FOR ENGINEERS 
VOLUME 1: Electrostatics and Magnetostatics
	CONTENTS
	PART 1
ELECTROSTATICS:
BASIC PRINCIPLES
	1 Vector Analysis
		1.1 INTRODUCTION
		1.2 VECTOR NOTATION
		1.3 VECTOR ALGEBRA
		1.4 COORDINATE SYSTEMS
		1.5 DIFFERENTIAL VOLUME, SURFACE, AND LINE ELEMENTS
		1.6 VECTOR FIELDS
		1.7 TRANSFORMATIONS BETWEEN COORDINATE SYSTEMS
		1.8 PROBLEMS AND SOLUTIONS: VECTOR ANALYSIS
		References
	2 COULOMB FORCES AND ELECTRIC
FIELD INTENSITY
		2.1 COULOMB’S LAW
		2.2 ELECTRIC FIELD INTENSITY
		2.3 CHARGE DISTRIBUTIONS
		2.4 STANDARD CHARGE CONFIGURATIONS
		2.5 PROBLEMS: COULOMB FORCE AND E-FIELD INTENSITY
		References
	3
ELECTRIC FLUX AND GAUSS’ LAW
		3.1 NET CHARGE IN A REGION
		3.2 ELECTRIC FLUX AND FLUX DENSITY
		3.3 GAUSS’ LAW
		3.4 RELATION BETWEEN FLUX DENSITY AND ELECTRIC FIELD
INTENSITY
		3.5 SPECIAL GAUSSIAN SURFACES
		3.6 PROBLEMS AND SOLUTIONS: ELECTRIC FLUX AND GAUSS’ LAW
		References
	4 DIVERGENCE AND THE DIVERGENCE THEOREM
		4.1 DIVERGENCE
		4.2 DIVERGENCE IN CARTESIAN COORDINATES
		4.3 DIVERGENCE OF D
		4.4 THE DEL OPERATOR
		4.5 DIVERGENCE THEOREM
		4.6 PROBLEMS AND SOLUTIONS: DIVERGENCE AND THE
DIVERGENCE THEOREM
		References
	5 ENERGY AND ELECTRIC POTENTIAL OF CHARGE SYSTEMS
		5.1 WORK DONE IN MOVING A POINT CHARGE
		5.2 ELECTRIC POTENTIAL BETWEEN TWO POINTS
		5.3 POTENTIAL OF A POINT CHARGE
		5.4 POTENTIAL OF A CHARGE DISTRIBUTION
		5.5 GRADIENT
		5.6 RELATIONSHIP BETWEEN E AND ∇
		5.7 ENERGY IN STATIC ELECTRIC FIELDS
		5.8 PROBLEMS AND SOLUTIONS : ENERGY AND ELECTRIC
POTENTIAL OF CHARGE SYSTEMS
		References
	6
CURRENT, CURRENT DENSITY,
AND CONDUCTORS
		6.1 INTRODUCTION
		6.2 CHARGES IN MOTION
		6.3 CONVECTION CURRENT DENSITY, J
		6.4 CONDUCTION CURRENT DENSITY, J
		6.5 CONDUCTIVITY, Σ
		6.6 CURRENT, I
		6.7 RESISTANCE, R
		6.8 CURRENT SHEET DENSITY, K
		6.9 CONTINUITY OF CURRENT
		6.10 CONDUCTOR: DIELECTRIC BOUNDARY CONDITIONS
		6.11 PROBLEMS AND SOLUTIONS: CURRENT, CURRENT DENSITY,
AND CONDUCTORS
		References
	7
CAPACITANCE AND DIELECTRIC MATERIALS
		7.1 POLARIZATION P AND RELATIVE PERMITT
		7.2 FIXED VOLTAGE D AND E
		7.3 FIXED CHARGE D AND E
		7.4 BOUNDARY CONDITIONS AT THE INTERFACE OF TWO
DIELECTRICS
		7.5 CAPACITANCE
		7.6 MULTIPLE-DIELECTRIC CAPACITORS
		7.7 ENERGY STORED IN A CAPACITOR
		7.8 PROBLEMS AND SOLUTIONS: CAPACITANCE AND DIELECTRIC
MATERIALS
		References
	8
LAPLACE’S EQUATION
		8.1 INTRODUCTION
		8.2 POISSON’S EQUATION AND LAPLACE’S EQUATION
		8.3 EXPLICIT FORMS OF LAPLACE’S EQUATION
		8.4 UNIQUENESS THEOREM
		8.5 MEAN VALUE AND MAXIMUM VALUE THEOREMS
		8.6 CARTESIAN SOLUTION IN ONE VARIABLE
		8.7 CARTESIAN PRODUCT SOLUTION
		8.8 CYLINDRICAL PRODUCT SOLUTION
		8.9 SPHERICAL PRODUCT SOLUTION
		8.10 PROBLEMS AND SOLUTIONS: LAPLACE’S EQUATION
		References
	PART 2
MAGNETOSTATICS:
BASIC PRINCIPLES
	9
AMPERE’S LAW AND THE MAGNETIC FIELD
		9.1 MAGNETOSTATICS
		9.2 BIOT-SAVART LAW
		9.3 AMPERE’S LAW
		9.4 CURL
		9.5 CURRENT DENSITY J AND ∇ × H
		9.6 MAGNETIC FLUX DENSITY B
		9.7 VECTOR MAGNETIC POTENTIAL A
		9.8 STOKES’ THEOREM
		9.9 PROBLEMS AND SOLUTIONS
		References
	10
FORCES AND TORQUES IN MAGNETIC FIELDS
		10.1 MAGNETIC FORCE ON PARTICLES
		10.2 ELECTRIC AND MAGNETIC FIELDS COMBINED
		10.3 MAGNETIC FORCE ON A CURRENT ELEMENT
		10.4 WORK AND POWER
		10.5 TORQUE
		10.6 MAGNETIC MOMENT OF A PLANAR COIL
		10.7 PROBLEMS AND SOLUTIONS
		References
	11 INDUCTANCE AND MAGNETIC CIRCUITS
		11.1 VOLTAGE OF SELF-INDUCTION
		11.2 INDUCTORS AND INDUCTANCE
		11.3 STANDARD FORMS
		11.4 INTERNAL INDUCTANCE
		11.5 MAGNETIC CIRCUITS
		11.6 NONLINEARITY OF THE B-H CURVE
		11.7 AMPERE’S LAW FOR MAGNETIC CIRCUITS
		11.8 CORES WITH AIR GAPS
		11.9 MULTIPLE COILS
		11.10 PARALLEL MAGNETIC CIRCUITS
		11.11 PROBLEMS AND SOLUTIONS
		References
	12
DISPLACEMENT CURRENT AND INDUCED EMF
		12.1 DISPLACEMENT CURRENT
		12.2 RATIO OF JC TO JD
		12.3 FARADAY’S LAW
		12.4 CONDUCTORS IN MOTION THROUGH TIME-INDEPENDENT
FIELDS
		12.6 PROBLEMS AND SOLUTIONS
		References
	Appendix A SCIENTIFIC PREFIXES
	Appendix B SCIENTIFIC CONSTANTS
	Appendix C
RULES BY WHICH TO PERFORMVECTOR ANALYSIS
		C.1 PARALLELOGRAM RULE
		C.2 HEAD-TO-TAIL RULE
	Appendix D
ELECTROMAGNETIC SPECTRUM ANDFREQUENCY BAND DESIGNATIONS
	Appedix E
TRANSMISSION LINE EQUATIONS , GENERALLINE EXPRESSIONS, AND IDEAL LINEEXPRESSIONS
	Appedix F
MAXWELL’S EQUATIONS
		F.1 FREE SPACE SET
		F.2 GENERAL SET
	ACRONYMS AND ABBREVIATIONS
	SELECTED BIBLIOGRAPHY
	ABOUT THE AUTHOR
	INDEX