UIUC Physics 435: Lecture Notes, Handouts, Etc.
All Lecture Notes, Hand-Outs, etc. are in Adobe PDF Format
General Orientational Information, A Brief History of Electromagnetism...
Electrostatics:
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Questions (and Answers) for Lecture Notes 01
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Lecture Notes 01: Introduction/Overview, Coulomb's Law, Electric Field, Principle of Superposition
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Questions (and Answers) for Lecture Notes 02
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Lecture Notes 02: Gauss' Law, Divergence Theorem, Stokes' Theorem
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Questions (and Answers) for Lecture Notes 03
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Lecture Notes 03: Electrostatic Potential, Poisson and Laplace Equation, Boundary Conditions
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Questions (and Answers) for Lecture Notes 04
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Lecture Notes 04: Work and Electrostatic Energy
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Questions (and Answers) for Lecture Notes 05
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Lecture Notes 05: Electrostatic Properties of Electrical Conductors, Capacitance
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Questions (and Answers) for Lecture Notes 06
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Lecture Notes 06: The Method of Images/Image Charge Problems
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Questions for Lecture Notes 07
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Lecture Notes 07: Laplace's Equation, Uniqueness Theorem(s), Laplaces Equation in 3-D, Separation of Variables, Series Solutions, Boundary Conditions
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Supplemental Handout 1: Vector Spaces, Inner Products, All That...
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Lecture Notes 7.5: Laplace's Equation in Two and Three Dimensions: Explicit Examples
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Supplemental Handout 2: Laplace's Equation in Two and Three Dimensions: Nine More Explicit Examples
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Questions for Lecture Notes 08
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Lecture Notes 08: Electric Multipole Expansion, Electrostatic Multipole Moments
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Miscellaneous Handout: Taylor Series/Binomial Series Expansions
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Lecture Notes 09: Electrostatic Fields In Matter, Dielectric Materials and Their Properties
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Dielectric Constants of Various Materials
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Lecture Notes 10: Electrostatic Fields Inside A Dielectric, Boundary Conditions on E, D and P
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Lecture Notes 11: Boundary Value Problems with Linear Dielectrics; Electrostatic Energy of, Forces Acting on Dielectrics
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Lecture Notes 12: Microscopic Theory of Dielectrics, Clausius-Mossotti Eqn, Langevin and DeBye Eqns; Ferro-, Piezo- and Pyro-Electric Materials
Magnetostatics:
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Lecture Notes 13: Steady Electric Currents, Magnetic Field, B, Lorentz Force Law
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Lecture Notes 14: Magnetic Field from Line/Surface/Volume Currents, the Biot-Savart Force Law, Magnetic Torques
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Lecture Notes 15: Divergence & Curl of B, Ampere's Law, Applications of Ampere's Law
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Lecture Notes 16: Magnetic Vector Potential, A; B = Curl A, Magnetostatic Boundary Conditions
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Lecture Notes 17: Multipole Expansion of the Magnetic Vector Potential, A; Magnetic Multipoles; B = Curl A
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Lecture Notes 18: Magnetic Monopoles/Magnetic Charges; Magnetic Flux Quantization, Dirac Quantization Condition, Coulomb/Lorentz Force Laws for Electric/Magnetic Charges, Duality Transformations
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Four Different Kinds of Magnetism
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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
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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
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Supplemental Handout 3: Comments on Auxilliary Field Relations for Electrostatics and Magnetostatics
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Supplemental Handout 4: Summary Sheet of EM Formula for Electrostatics and Magnetostatics
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Lecture Notes 20.5: Magnetostatic Boundary Value Problems
Electrodynamics:
End of Semester Review:
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