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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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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