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Electricity and Magnetism (last updated: 2024 April 9)
Chapter 1. Electric Fields
| 1.1 | Introduction |
| 1.2 | Triboelectric Effect |
| 1.3 | Experiments with Pith Balls |
| 1.4 | Experiments with a Gold-leaf Electroscope |
| 1.5 | Coulomb's Law |
| 1.6 | Electric Field E |
|
| 1.6.1 | Field of a Point Charge |
| 1.6.2 | Spherical Charge Distributions |
| 1.6.3 | A Long, Charged Rod |
| 1.6.4 | Field on the Axis of a Ring Charge |
| 1.6.5 | Field on the Axis of a Uniformly Charged Disc |
| 1.6.6 | Field of a Uniformly Charged Infinite Plane Sheet |
|
| 1.7 | Electric Field D |
| 1.8 | Flux |
| 1.9 | Gauss's Theorem |
Chapter 2. Electrostatic Potential
| 2.1 | Introduction |
| 2.2 | Potential Near Various Charged Bodies |
|
| 2.2.1 | Point Charge |
| 2.2.2 | Spherical Charge Distributions |
| 2.2.3 | Long Charged Rod |
| 2.2.4 | Large Plane Charged Sheet |
| 2.2.5 | Potential on the Axis of a Charged Ring |
| 2.2.6 | Potential in the Plane of a Charged Ring |
| 2.2.7 | Potential on the Axis of a Charged Disc |
|
| 2.3 | Electron-volts |
| 2.4 | A Point Charge and an Infinite Conducting Plane |
| 2.5 | A Point Charge and a Conducting Sphere |
| 2.6 | Two Semicylindrical Electrodes |
Chapter 3. Dipole and Quadrupole Moments
| 3.1 | Introduction |
| 3.2 | Mathematical Definition of Dipole Moment |
| 3.3 | Oscillation of a Dipole in an Electric Field |
| 3.4 | Potential Energy of a Dipole in an Electric Field |
| 3.5 | Force on a Dipole in an Inhomogeneous Electric Field |
| 3.6 | Induced Dipoles and Polarizability |
| 3.7 | The Simple Dipole |
| 3.8 | A Geophysical Example |
| 3.9 | Second Moments of Mass |
| 3.10 | Second Moments of Charge |
| 3.11 | Quadrupole Moment. Potential Near an Arbitrary Charge Distribution |
| 3.12 | Two Simple Quadrupoles |
| 3.13 | Octupole Moment |
Chapter 4. Batteries, Resistors and Ohm's Law
| 4.1 | Introduction |
| 4.2 | Resistance and Ohm's Law |
| 4.3 | Resistance and Temperature |
| 4.4 | Resistors in Series |
| 4.5 | Conductors in Parallel |
| 4.6 | Dissipation of Energy |
| 4.7 | Electromotive Force and Internal Resistance |
| 4.8 | Power Delivered to an External Resistance |
| 4.9 | Potential Divider |
| 4.10 | Ammeters and Voltmeters |
| 4.11 | Wheatstone Bridge |
| 4.12 | Delta-Star Transform |
| 4.13 | Kirchhoff's Rules |
| 4.14 | Tortures for the Brain |
| 4.15 | Solutions, Answers or Hints to 4.14 |
| 4.16 | Attenuators |
Chapter 5. Capacitors
| 5.1 | Introduction |
| 5.2 | Plane Parallel Capacitor |
| 5.3 | Coaxial Cylindrical Capacitor |
| 5.4 | Concentric Spherical Capacitor |
| 5.5 | Capacitors in Parallel |
| 5.6 | Capacitors in Series |
| 5.7 | Delta-Star Transform |
| 5.8 | Kirchhoff's Rules |
| 5.9 | Problem for a Rainy Day |
| 5.10 | Energy Stored in a Capacitor |
| 5.11 | Energy Stored in an Electric Field |
| 5.12 | Force Between the Plates of a Plane Parallel Plate Capacitor |
| 5.13 | Sharing a Charge Between Two Capacitors |
| 5.14 | Mixed Dielectrics |
| 5.15 | Changing the Distance Between the Plates of a Capacitor |
| 5.16 | Inserting a Dielectric into a Capacitor |
| 5.17 | Polarization and Susceptibility |
| 5.18 | Discharging a Capacitor Through a Resistor |
| 5.19 | Charging a Capacitor Through a Resistor |
| 5.20 | Real Capacitors |
| 5.21 | More on E, D, P, etc. |
| 5.22 | Dielectric material in a alternating electric field. |
Chapter 6. The Magnetic Effect of an Electric Current
| 6.1 | Introduction |
| 6.2 | Definition of the Amp |
| 6.3 | Definition of the Magnetic Field |
| 6.4 | The Biot-Savart Law |
| 6.5 | Magnetic Field Near a Long, Straight, Current-carrying Conductor |
| 6.6 | Field on the Axis and in the Plane of a Plane Circular Current-carrying Coil |
| 6.7 | Helmholtz Coils |
| 6.8 | Field on the Axis of a Long Solenoid |
| 6.9 | The Magnetic Field H |
| 6.10 | Flux |
| 6.11 | Ampère's Theorem |
| 6.12 | Boundary Conditions |
Chapter 7. Force on a Current in a Magnetic Field
| 7.1 | Introduction |
| 7.2 | Force Between Two Current-carrying Wires |
| 7.3 | The Permeability of Free Space |
| 7.4 | Magnetic Moment |
| 7.5 | Magnetic Moment of a Plane, Current-carrying Coil |
| 7.6 | Period of Oscillation of a Magnet or a Coil in an External Magnetic Field |
| 7.7 | Potential Energy of a Magnet or a Coil in a Magnetic Field |
| 7.8 | Moving-coil Ammeter |
| 7.9 | Magnetogyric Ratio |
Chapter 8. On the Electrodynamics of Moving Bodies
| 8.1 | Introduction |
| 8.2 | Charged Particle in an Electric Field |
| 8.3 | Charged Particle in a Magnetic Field |
| 8.4 | Charged Particle in an Electric and a Magnetic Field |
| 8.5 | Motion in a Nonuniform Magnetic Field |
| 8A | Appendix. Integration of the Equations |
Chapter 9. Magnetic Potential
| 9.1 | Introduction |
| 9.2 | The Magnetic Vector Potential |
| 9.3 | Long, Straight, Current-carrying Conductor |
| 9.4 | Long Solenoid |
| 9.5 | Divergence |
Chapter 10. Electromagnetic Induction
| 10.1 | Introduction |
| 10.2 | Electromagnetic Induction and the Lorentz Force |
| 10.3 | Lenz's Law |
| 10.4 | Ballistic Galvanometer and the Measurement of Magnetic Field |
| 10.5 | AC Generator |
| 10.6 | AC Power |
| 10.7 | Linear Motors and Generators |
| 10.8 | Rotary Motors |
| 10.9 | The Transformer |
| 10.10 | Mutual Inductance |
| 10.11 | Self Inductance |
| 10.12 | Growth of Current in a Circuit Containing Inductance |
| 10.13 | Discharge of a Capacitor through an Inductance |
| 10.14 | Discharge of a Capacitor through an Inductance and a Resistance |
| 10.15 | Charging a Capacitor through and Inductance and a Resistance |
| 10.16 | Energy Stored in an Inductance |
| 10.17 | Energy Stored in a Magnetic Field |
Chapter 11. Dimensions
Chapter 12. Properties of Magnetic Materials
| 12.1 | Introduction |
| 12.2 | Magnetic Circuits and Ohm's Law |
| 12.3 | Magnetization and Susceptibility |
| 12.4 | Diamagnetism |
| 12.5 | Paramagnetism |
| 12.6 | Ferromagnetism |
| 12.7 | Antiferromagnetism |
| 12.8 | Ferrimagnetism |
Chapter 13. Alternating Current
| 13.1 | Alternating current in an inductance |
| 13.2 | Alternating Voltage across a Capacitor |
| 13.3 | Complex Numbers |
| 13.4 | Resistance and Inductance in Series |
| 13.5 | Resistance and Capacitance in Series |
| 13.6 | Admittance |
| 13.7 | The RLC Series Acceptor Circuit |
| 13.8 | The RLC Parallel Rejector Circuit |
| 13.9 | AC Bridges |
|
| 13.9.1 | The Owen Bridge |
| 13.9.2 | The Schering Bridge |
| 13.9.3 | The Wien Bridge |
| 13.9.4 | Bridge Solution by Delta-Star Transform |
|
| 13.10 | The Transformer |
| 13.11 | Root-Mean-Square Values, Power and Impedance Matching |
| 13.12 | Some Remarks on the Star-Delta Transform |
| 13.13 | The Telephonist’s, or Telegrapher’s, Equations |
Chapter 14. Laplace Transforms
| 14.1 | Introduction |
| 14.2 | Table of Laplace Transforms |
| 14.3 | The First Integration Theorem |
| 14.4 | The Second Integration Theorem (Dividing a Function by t) |
| 14.5 | Shifting Theorem |
| 14.6 | A Function Times tn |
| 14.7 | Differentiation Theorem |
| 14.8 | A First Order Differential Equation |
| 14.9 | A Second Order Differential Equation |
| 14.10 | Generalized Impedance |
| 14.11 | RLC Series Transient |
| 14.12 | Another Example |
Chapter 15. Maxwell's Equations
| 15.1 | Introduction |
| 15.2 | Maxwell's First Equation |
| 15.3 | Poisson's and Laplace's Equations |
| 15.4 | Maxwell's Second Equation |
| 15.5 | Maxwell's Third Equation |
| 15.6 | The Magnetic Equivalent of Poisson's Equation |
| 15.7 | Maxwell's Fourth Equation |
| 15.8 | Summary of Maxwell's and Poisson's Equations |
| 15.9 | Electromagnetic Waves |
| 15.10 | Gauge Transformations |
| 15.11 | Maxwell's Equations in Potential Form |
| 15.12 | Retarded Potential |
Chapter 16. CGS Electricity and Magnetism
| 16.1 | Introduction |
| 16.2 | The CGS Electrostatic System |
| 16.3 | The CGS Electromagnetic System |
| 16.4 | The Gaussian Mixed System |
| 16.5 | Dimensions |
Chapter 17. Magnetic Dipole Moment
| 17.1 | Introduction |
| 17.2 | The SI Definition of Magnetic Moment |
| 17.3 | The Magnetic Field on the Equator of a Magnet |
| 17.4 | CGS Magnetic Moment, and Lip Service to SI |
| 17.5 | Possible Alternative Definitions of Magnetic Moment |
| 17.6 | Thirteen Questions |
| 17.7 | Additional Remarks |
| 17.8 | Conclusion |
Chapter 18. Electrochemistry
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