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Maxwell’s Equations – Paul G Huray

  • Foundations of Maxwell’s Equations
    • Historical Overview
    • Role of Electromagnetic Field Theory
    • Electromagnetic Field Quantities
    • Units and Universal Constants
    • Precision of Measured Quantities
    • Introduction to Complex Variables
    • Phasor Notation
    • Quaternions
    • Original Form of Maxwell’s Equations
  • Vector Analysis
  • Static Electric Fields
    • Introduction
    • Properties of Electrostatic Fields
    • Gauss’s Law
    • Conservation Law
    • Electric Potential
    • Electric Field for a System of Charges
    • Electric Potential for a System of Charges
    • Electric Field for a Continuous Distribution
    • Conductor in a Static Electric Field
    • Capacitance
    • Dielectrics
    • Electric Flux Density
    • Dielectric Boundary Conditions
    • Electrostatic Energy
    • Electrostatic Field in a Dielectric
    • Endnotes
  • Solution of Electrostatic Problems
    • Introduction
    • Current Density and Ohm’s Law
    • Relation to Circuit Parameters
    • Superconductivity
    • Free Electron Gas Theory
    • Band Theory
    • Equation of Continuity
    • Microscopic View of Ohm’s Law
    • Power Dissipation and Joule’s Law
    • Boundary Condition for Current Density
    • Resistance/Capacitance Calculations
    • Endnote
  • Steady Electric Currents
    • Introduction
    • Current Density and Ohm’s Law
    • Relation to Circuit Parameters
    • Superconductivity
    • Free Electron Gas Theory
    • Band Theory
    • Equation of Continuity
    • Microscopic View of Ohm’s Law
    • Power Dissipation and Joule’s Law
    • Boundary Condition for Current Density
    • Resistance/Capacitance Calculations 157
    • Endnote
  • Static Magnetic Fields
  • Time-Varying Fields
    • Faraday’s Law of Induction
    • E&M Equations before Maxwell
    • Maxwell’s Displacement Current
    • Integral Form of Maxwell’s Equations
    • Magnetic Vector Potential
    • Solution of the Time-Dependent Inhomogeneous Potential Wave Equations
    • Electric and Magnetic Field Equations for Source-Free Problems
    • Solutions for the Homogeneous Wave Equation
    • Particular Solution for the Inhomogeneous Wave Equation
    • Time-Harmonic Fields
    • Electromagnetic Spectrum
    • Electromagnetic Boundary Conditions
    • Particular Solution for the Wave Equation with Inhomogeneous
    • Boundary Conditions
    • Memristors
    • Electric Vector Potential
  • Appendix A: Measurement Errors
  • Appendix B: Graphics and Conformai Mapping
  • Appendix C: Vectors, Matrices, Orthogonal Functions