UP+203+Syllabus

Familiarity with basic electro/magnetostatics at the level of Purcell/Griffiths is assumed. Purcell is worth reading multiple times for its emphasis on physics! The text for this course is a combination of Griffiths and Jackson.


 * Date || Topic || Refs. || homework & other course material ||
 * weeks 1+2 || recap of stuff that students have already done in the previous course; electromagnetic force as one of the 4 fundamental forces; Coulomb's law; superposition, charge quantization principles; fields; integral and differential forms of electrostatic eqs.; symmetries; curvilinear coordinates; Helmholtz decomposition of vector fields; Dirac-Delta function || Sec. 1.1-1.5 in J;

Sec. 1.5, 1.6, App. A, B in G; || ||
 * week 3+4+5 || Electric potential: Poisson eq.; boundary conditions; uniqueness theorem; Green's function formalism; conductors; capacitance; solving Poisson's eq: separation of variables in different geometries; multipole expansion || Sec. 1.7-1.10, 2.6,2.7 in J;

Sec. 3.1.6, 3.3, 3.4 in G || Green's function examples from physics.usask.ca/~hirose/p812/notes/

Prof. Subroto Mukerjee's online notes on conductors and capacitance are quite good! ||
 * week 6 || electric fields in matter; dielectrics; polarizibility; permanent/induced dipole; bound charges; electric displacement || Sec. 4.1-4.3, 4.4.1, 4.4.3 in G;

Sec. 4.2, 4.3 in J || ||
 * week 7+8 || Lorentz force; cyclotron motion; magnetic force on a current; charge continuity eq. magnetostatics: Biot-Savart law curl & divergence of B and integral forms; boundary conditions on B vector potential; multipole expansion; magnetic dipole moment || Chapter 5 in G || [[file:hw4.pdf]] ||
 * week 9+10 || magnetic fields in matter; diamagnetic, ferromagnetic, paramagnetic materials magnetic dipole; magnetization; bound currents Electrodynamics: Ohm's law; EMF; motional EMF; Faraday's law of induction || Chapter 6 in G (except 6.4.2)

Chapter 7 in G || ||
 * week 11+12 || Maxwell's eqs.; displacement current; conservation laws; Poynting's theorem; stress tensor E.M. waves in vacuum (cartesian + spherical geom.); reflection, transmission dispersion; phase & group velocity wave-optics; waveguides; transmission lines || Chapter 8 in G

Sec. 9.2, 9.3, 9.4, 9.5 in G || ||
 * week 13+14 || potential formulation; guage transformations; Coulomb, Lorentz guage retarded potentials; Lienard-Wiechert potentials; electric, magnetic dipole radiation; power radiated by a point charge || Chapters 10, 11 in G || We covered this material but not in detail. This is not included in the final exam. ||
 * week 15+16 || Electrodynamics & relativity; Galilean vs. Lorentz invariance; Einstein's postulates; space-time diagrams, relativistic momentum & energy ||  ||   ||