| Last Updated: Feb. 11, 2018
Electrodynamics, Spring 2021
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Electrodynamics (PHYS 70006, CRN 20338)
General Information (Syllabus)
Lecture 1: Electrostatics, dipole layer.
Lecture 2: Poisson's equation, Green functions. Conductors.
L2.1 Proof of an identity.
L2.2 Earnshaw's theorem.
L2.3 Green's identities and Green function for Dirichlet b.c.-s
L2.4 Green function for Neumann b.c.-s, reciprocity theorem.
Lecture 3: Method of images. Laplace's equation.
L3.1 Method of images, further examples.
L3.2 Laplace's equation in rectangular coordinates.
L3.3 Operator "trick". Fields near corners and edges.
L3.4 Frobenius method.
L3.5 Proof of an identity.
L3.6 Proof of addition theorem for spherical harmonics.
L3.7 Expansion of Green function in spherical coordinates.
Lecture 4: Multipole expansions. Electrostatics with ponderable media.
L4.1 Expansion of potential in moment series in Cartesian coordinates.
L4.2 Computing a surface vector integral.
L4.3 Electrostatic energy in dielectrics.
Lecture 5: Magnetostatics, Biot-Savart Law, Vector potential.
L5.1 Circular current loop in detail.
Appendix: The Dirac-delta function.
Appendix: Complex analysis refresher.
Appendix: Orthogonal functions and expansions.
(due Mon 11:59pm, Feb 15)
(due Mon 11:59pm, Feb 22)
(due Wed 11:59pm, Mar 3)
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College of Science
University of Notre Dame
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