Electromagnetism

  1. Electrostatics
    1. Coulomb's Law
      1. Historical Development
        1. Force between Point Charges
          1. Magnitude
            1. Direction
              1. Vector Form
              2. Coulomb Constant
                1. Permittivity of Free Space
                  1. Principle of Superposition
                    1. Multiple Point Charges
                      1. Continuous Charge Distributions
                      2. Limitations of Coulomb's Law
                      3. Electric Field
                        1. Definition of Electric Field
                          1. Electric Field as Force per Unit Charge
                            1. Electric Field of Point Charges
                              1. Single Point Charge
                                1. Multiple Point Charges
                                2. Electric Field of Continuous Charge Distributions
                                  1. Line Charge Distributions
                                    1. Finite Line Segment
                                      1. Infinite Line
                                        1. Circular Ring
                                        2. Surface Charge Distributions
                                          1. Finite Plane
                                            1. Infinite Plane
                                              1. Spherical Shell
                                              2. Volume Charge Distributions
                                                1. Uniform Sphere
                                                  1. Non-uniform Distributions
                                                2. Electric Field Lines
                                                  1. Definition and Properties
                                                    1. Field Line Density
                                                      1. Sketching Field Lines
                                                        1. Interpretation of Field Patterns
                                                        2. Electric Field Calculations
                                                          1. Direct Integration Methods
                                                            1. Symmetry Arguments
                                                              1. Approximation Techniques
                                                            2. Gauss's Law
                                                              1. Electric Flux
                                                                1. Calculation through Surfaces
                                                                  1. Flux through Closed Surfaces
                                                                  2. Gauss's Law Statement
                                                                    1. Integral Form
                                                                      1. Physical Interpretation
                                                                      2. Gauss's Law Differential Form
                                                                        1. Derivation
                                                                          1. Physical Meaning
                                                                          2. Applications of Gauss's Law
                                                                            1. Spherical Symmetry
                                                                              1. Point Charge
                                                                                1. Uniform Spherical Shell
                                                                                  1. Uniform Solid Sphere
                                                                                    1. Concentric Spherical Shells
                                                                                    2. Cylindrical Symmetry
                                                                                      1. Infinite Line Charge
                                                                                        1. Cylindrical Shell
                                                                                          1. Solid Cylinder
                                                                                            1. Coaxial Cylinders
                                                                                            2. Planar Symmetry
                                                                                              1. Infinite Plane Sheet
                                                                                                1. Parallel Plane Sheets
                                                                                                  1. Slab of Finite Thickness
                                                                                                2. Choosing Gaussian Surfaces
                                                                                                  1. Limitations and Conditions for Application
                                                                                                  2. Electric Potential
                                                                                                    1. Electrostatic Potential Energy
                                                                                                      1. Work Done by Electric Forces
                                                                                                        1. Potential Energy of Point Charges
                                                                                                          1. Two Charges
                                                                                                            1. Multiple Charges
                                                                                                            2. Potential Energy of Charge Distributions
                                                                                                            3. Electric Potential Definition
                                                                                                              1. Potential Difference
                                                                                                                1. Reference Point
                                                                                                                  1. Units and Measurement
                                                                                                                  2. Potential of Point Charges
                                                                                                                    1. Single Point Charge
                                                                                                                      1. Multiple Point Charges
                                                                                                                      2. Potential of Continuous Distributions
                                                                                                                        1. Line Charge Distributions
                                                                                                                          1. Surface Charge Distributions
                                                                                                                            1. Volume Charge Distributions
                                                                                                                            2. Relationship between Field and Potential
                                                                                                                              1. Electric Field as Gradient of Potential
                                                                                                                                1. Equipotential Surfaces
                                                                                                                                  1. Field Lines and Equipotentials
                                                                                                                                  2. Potential Formulation of Electrostatics
                                                                                                                                    1. Laplace's Equation
                                                                                                                                      1. Solutions in Different Geometries
                                                                                                                                      2. Poisson's Equation
                                                                                                                                        1. Green's Functions
                                                                                                                                          1. Boundary Value Problems
                                                                                                                                        2. Multipole Expansion
                                                                                                                                          1. Monopole Term
                                                                                                                                            1. Dipole Term
                                                                                                                                              1. Quadrupole Term
                                                                                                                                                1. Higher Order Terms
                                                                                                                                              2. Work and Energy in Electrostatics
                                                                                                                                                1. Work Done Moving Charges
                                                                                                                                                  1. Work in Uniform Fields
                                                                                                                                                    1. Work in Non-uniform Fields
                                                                                                                                                      1. Path Independence
                                                                                                                                                      2. Energy of Point Charge Systems
                                                                                                                                                        1. Self-Energy Problem
                                                                                                                                                          1. Interaction Energy
                                                                                                                                                          2. Energy of Continuous Charge Distributions
                                                                                                                                                            1. Energy Density Formula
                                                                                                                                                              1. Total Electrostatic Energy
                                                                                                                                                                1. Energy in Terms of Fields
                                                                                                                                                              2. Conductors in Electrostatic Equilibrium
                                                                                                                                                                1. Properties of Conductors
                                                                                                                                                                  1. Free Electron Model
                                                                                                                                                                    1. Zero Electric Field Inside
                                                                                                                                                                      1. Constant Potential
                                                                                                                                                                      2. Surface Properties
                                                                                                                                                                        1. Surface Charge Distribution
                                                                                                                                                                          1. Electric Field at Surface
                                                                                                                                                                            1. Surface Charge Density
                                                                                                                                                                            2. Induced Charges
                                                                                                                                                                              1. Charge Induction Process
                                                                                                                                                                                1. Image Charges
                                                                                                                                                                                2. Electrostatic Shielding
                                                                                                                                                                                  1. Faraday Cage Principle
                                                                                                                                                                                  2. Grounding and Earth Connection
                                                                                                                                                                                    1. Conductor Shapes and Field Enhancement
                                                                                                                                                                                      1. Sharp Points and Lightning Rods
                                                                                                                                                                                        1. Field Enhancement Factor
                                                                                                                                                                                      2. Capacitors and Capacitance
                                                                                                                                                                                        1. Definition of Capacitance
                                                                                                                                                                                          1. Calculating Capacitance
                                                                                                                                                                                            1. Parallel-Plate Capacitor
                                                                                                                                                                                              1. Uniform Field Approximation
                                                                                                                                                                                                1. Edge Effects
                                                                                                                                                                                                2. Cylindrical Capacitor
                                                                                                                                                                                                  1. Coaxial Configuration
                                                                                                                                                                                                  2. Spherical Capacitor
                                                                                                                                                                                                    1. Concentric Spheres
                                                                                                                                                                                                    2. Isolated Conductor
                                                                                                                                                                                                    3. Capacitor Networks
                                                                                                                                                                                                      1. Series Combinations
                                                                                                                                                                                                        1. Parallel Combinations
                                                                                                                                                                                                          1. Complex Networks
                                                                                                                                                                                                          2. Energy Storage in Capacitors
                                                                                                                                                                                                            1. Energy Formula Derivations
                                                                                                                                                                                                              1. Energy Density in Electric Field
                                                                                                                                                                                                              2. Force and Pressure in Capacitors
                                                                                                                                                                                                                1. Attractive Force between Plates
                                                                                                                                                                                                                  1. Maxwell Stress

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                                                                                                                                                                                                              3. Electric Fields in Matter