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.

1. HW1  (due Mon 11:59pm, Feb 15)  
2. HW2  (due Mon 11:59pm, Feb 22)  
3. HW3  (due Wed 11:59pm, Mar 3)  

• HW1P3,  HW1P4,  HW1P5,  HW1P8, 

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