Prof. S. Errede's UIUC Physics 435 Lecture Notes, Handouts, Etc. - Fall Semester, 2007

---

All Lecture Notes, Hand-Outs, etc. are in Adobe PDF Format

Get Adobe Acrobat Reader - for *.PDF files

---

General Orientational Information, A Brief History of Electromagnetism...

---

• Hopefully Helpful Comments on Taking UIUC Physics 435
• A Brief History of Electromagnetism
• SI Units of Electromagnetic Quantities
• A Brief History of the Development of the SI Units

---

Electrostatics:

---

Lecture Notes 01: Introduction/Overview, Coulomb's Law, Electric Field, Principle of Superposition

Lecture Notes 02: Gauss' Law, Divergence Theorem, Stokes' Theorem

Lecture Notes 03: Electrostatic Potential, Poisson and Laplace Equation, Boundary Conditions

Lecture Notes 04: Work and Electrostatic Energy

Lecture Notes 05: Electrostatic Properties of Electrical Conductors, Capacitance

Lecture Notes 06: The Method of Images/Image Charge Problems

Lecture Notes 07: Laplace's Equation, Uniqueness Theorem(s), Laplaces Equation in 3-D, Separation of Variables, Series Solutions, Boundary Conditions

Supplemental Handout 1: Vector Spaces, Inner Products, All That...

Lecture Notes 7.5: Laplace's Equation in Two and Three Dimensions: Explicit Examples

Supplemental Handout 2: Laplace's Equation in Two and Three Dimensions: Nine More Explicit Examples

Lecture Notes 08: Electric Multipole Expansion, Electrostatic Multipole Moments

Miscellaneous Handout: Taylor Series/Binomial Series Expansions

Lecture Notes 09: Electrostatic Fields In Matter, Dielectric Materials and Their Properties

Dielectric Constants of Various Materials

Lecture Notes 10: Electrostatic Fields Inside A Dielectric, Boundary Conditions on E, D and P

Lecture Notes 11: Boundary Value Problems with Linear Dielectrics; Electrostatic Energy of, Forces Acting on Dielectrics

Lecture Notes 12: Microscopic Theory of Dielectrics, Clausius-Mossotti Eqn, Langevin and DeBye Eqns; Ferro-, Piezo- and Pyro-Electric Materials

---

Magnetostatics:

---

Lecture Notes 13: Steady Electric Currents, Magnetic Field, B, Lorentz Force Law

Lecture Notes 14: Magnetic Field from Line/Surface/Volume Currents, the Biot-Savart Force Law, Magnetic Torques

Lecture Notes 15: Divergence & Curl of B, Ampere's Law, Applications of Ampere's Law

Lecture Notes 16: Magnetic Vector Potential, A; B = Curl A, Magnetostatic Boundary Conditions

Lecture Notes 17: Multipole Expansion of the Magnetic Vector Potential, A; Magnetic Multipoles; B = Curl A

Lecture Notes 18: Magnetic Monopoles/Magnetic Charges; Magnetic Flux Quantization, Dirac Quantization Condition, Coulomb/Lorentz Force Laws for Electric/Magnetic Charges, Duality Transformations

Four Different Kinds of Magnetism

Lecture Notes 19: Magnetic Fields in Matter I; Dia-/Para-/Ferro-/Antiferro-Magnetism; Magnetization, M; Bound Volume and Surface Currents, Jm_bound, Km_bound; Ampere's Law, Curl B = mu_o * Jm_tot; Auxillary Field, H; 3 Continuity Equations

Lecture Notes 20: Magnetic Fields in Matter II; A and B-fields; Magnetic Field B inside Magnetized Matter; Magnetic Scalar Potential, Surface/Volume Densities of Magnetic Pole Strength; Langevin's Eqn for Paramagnetic Materials; Ferromagnetic Materials, Hysteresis

Supplemental Handout 3: Comments on Auxilliary Field Relations for Electrostatics and Magnetostatics

Supplemental Handout 4: Summary Sheet of EM Formula for Electrostatics and Magnetostatics

Lecture Notes 20.5: Magnetostatic Boundary Value Problems

---

Electrodynamics:

---

Lecture Notes 21: Ohm's Law; Electromotive Forces, Sources of EMF; Faraday's Law of Magnetic Induction, Motional Induction

Lecture Notes 22: Inductance - Mutual and Self-Inductance

Lecture Notes 23: Eddy Currents in Conductors, Energy Stored In Magnetic Fields, Magnetic Forces, Magnetic Pressure

New Directions in Eddy Current Sensing - Real-World Uses of Eddy Currents

Supplemental Handout: New Directions in Eddy Current Sensing

Supplemental Handout 5: The Hall Effect

Lecture Notes 24: Maxwell's Equations, Maxwell's Displacement Current, Maxwell's Equations in Matter, Boundary Conditions

Supplemental Handout 6: Symmetry Properties of Electromagnetic Quantities

Elementary Particle EM Moments

Supplemental Handout 7: Physics Phun With Motional Effects and The Magnetic Vector Potential, A: E+M Physics in Different Reference Frames

---

"> Return to Prof. S. Errede's Homepage