The calendar below provides information on the course’s lecture (L), recitation (R), and quiz (Q) sessions.
H/M = Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: PrenticeHall, 1989. ISBN: 9780132490207.
SES #  TOPICS  KEY DATES 

I. Maxwell’s equations  
R1  Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; e^{j(ωtkz)} complex notation; gradient, curl, and divergence  Problem set 1 out 
L1 
CoulombLorentz force law; Maxwell’s equations in integral form; simple electric and magnetic field solutions using Gauss’ and Ampere’s laws for point, line, and surface charges and currents; superposition; simple cylindrical and spherical source problems Demos: H/M 10.2.1  Edgerton’s Boomer 

R2  Simple problems using superposition and integral forms of Gauss’ and Ampere’s laws with simple spatial distributions of volume charge density and volume current density  
L2  Derive boundary conditions; apply boundary conditions to surface charge and surface current problems  Problem set 2 out 
R3  Boundary condition problems, e.g., perfectly conducting sphere or cylinder surrounding point or line charge or line current  Problem set 1 due 
L3 
Divergence and Stokes’ theorems; Maxwell’s equations in differential form; electroquasistatics and magnetoquasistatics (MQS); potential and the gradient operator Demo: H/M 10.0.1 nonuniqueness of voltage in an MQS system 

R4  Problem solutions using differential form of Maxwell’s equations: surface and volume charged or current carrying planar layer, cylinder and sphere  
L4  The electric field, electric scalar potential, and the gradient; Poisson’s and Laplace’s equations; potential of point charge; Coulomb superposition integral  Problem set 3 out 
R5  The electric dipole (potential and electric field); simple problems using the Coulomb superposition integral (line charge, ring of line charge, disk of surface charge)  Problem set 2 due 
L5  Method of images  
R6  Method of images problems with planes, cylinders, and spheres  
L6 
Media: dielectric, conducting, and magnetic constitutive laws; charge relaxation Demos: H/M 6.6.1 artificial dielectric; 9.4.1 measurement of BH characteristic (magnetic hysteresis loop) 
Problem set 4 out 
R7 
Capacitance, resistance, inductance, and charge relaxation problems in cartesian, cylindrical, and spherical geometries Demo: H/M 7.7.1 relaxation of charge on particle in ohmic conductor (video); supplement: Kelvin’s water dynamos (video) 
Problem set 3 due 
L7  Conservation of charge boundary condition; maxwell capacitor; magnetic dipoles and circuits; reluctance  
II. Plane waves  
L8  Wave equation; Poynting’s theorem  
R8 
Sinusoidal steady state; normal incidence on a perfect conductor and a dielectric Demo: plane wave movies 

L9  Oblique incidence on a perfect conductor; transverse magnetic (TM) waves with oblique incidence on lossless media described by ε and µ; reflection and transmission; transverse electric (TE) waves with oblique incidence on lossless media  Problem set 5 out 
R9 
Snell’s law: brewster and critical angles; effects of ohmic loss; skindepth Demo: laser and prism Brewster’s angle, critical angle 
Problem set 4 due 
R10  Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber opticsstraight light pipe, bent fiber  
R11  Lasers; optical devices 
Problem set 5 due Problem set 6 out 
III. Transmission lines and waveguides  
L10 
Parallel plate transmission lines; wave equation; sinusoidal steady state Demo: H/M 13.1.1 visualization of standing waves 

R12  Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; shortline limits as circuit approximations to capacitors and inductors  
L11 
Gamma plane; Smith chart; voltage standing wave ratio (VSWR); λ/4 transformer Demo: V(z,t), I(z,t) movies 

R13  Quiz 1 review  
Q1  Quiz 1  
R14  Impedance and VSWR problems using the Smith chart; singlestub tuner  
L12 
Wave equations (lossless); transient waves on transmission lines Demo: H/M 14.4.1 transmission line matching, reflection, and quasistatic charging 
Problem set 7 out 
R15 
Transient wave driven and initial value problems Demo: transient wave movies 
Problem set 6 due 
L13  Reflections from ends; driven and initial value problems  
R16 
Waveguide fields; surface charge and current; calculation and sketching of electric and magnetic field lines Demo: show plots of electric and magnetic field lines for various waveguide modes 

L14  Rectangular waveguides; TM and TE modes; cutoff  Problem set 8 out 
R17  Cavity resonators; group and phase velocity; dispersion relations; lasers  Problem set 7 due 
IV. Fields and forces  
L15 
Dielectric waveguides Demo: evanescent waves 

R18  Force problems in capacitive and inductive systems  
L16 
Energy in electric and magnetic fields; principle of virtual work to find electric and magnetic forces; magnetic circuit problems Demo: H/M 11.6.2 force on a dielectric material (video) 

R19  Ohm’s law for moving media; Faraday’s disk (homopolar generator); torque; equivalent circuit 
Problem set 8 due Problem set 9 out 
L17 
Synchronous rotating machines Film: Synchronous Machines 

L18 
Selfexcited electric and magnetic machines Demo: H/M 7.7.1 van de Graaff and Kelvin generators (video); selfexcited commutator machines 

R20  Quiz 2 review  
Q2  Quiz 2  
R21  Torquespeed characteristics of rotating machines  
V. Antennas and radiation  
L19  Radiation by charges and currents; setting the gauge; Lorentz gauge; superposition integral solutions for scalar and vector potentials; radiation from a point electric dipole; receiving antenna properties  Problem set 10 out 
R22  Electric and magnetic fields from a point electric dipole; farfield solution; radiation resistance; effective dipole length; antenna gain  Problem set 9 due 
L20 
2 element array; broad side and endfire arrays Demo: radiation patterns 
Problem set 11 out 
R23 
Element and array factors; N dipole array; beam steering Demo: radiation patterns/computer simulations 
Problem set 10 due 
L21  Transmitting and receiving antennas; wireless and optical communications  
R24  Wireless and optical communication problems  
VI. Acoustics  
L22  Acoustic waves  
R25  Acoustic wave boundary value problems  Problem set 11 due 
L23  Course review 