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Electromagnetics and Applications >> Content Detail



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The calendar below provides information on the course's lecture (L), recitation (R), and quiz (Q) sessions.

Amazon logo H/M = Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.


SES #TOPICSKEY DATES
I. Maxwell's equations
R1Review of vector and integral calculus; cartesian, cylindrical, and spherical coordinate systems; ej(ωt-kz) complex notation; gradient, curl, and divergenceProblem set 1 out
L1

Coulomb-Lorentz 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

R2Simple problems using superposition and integral forms of Gauss' and Ampere's laws with simple spatial distributions of volume charge density and volume current density
L2Derive boundary conditions; apply boundary conditions to surface charge and surface current problemsProblem set 2 out
R3Boundary condition problems, e.g., perfectly conducting sphere or cylinder surrounding point or line charge or line currentProblem 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

R4Problem solutions using differential form of Maxwell's equations: surface and volume charged or current carrying planar layer, cylinder and sphere
L4The electric field, electric scalar potential, and the gradient; Poisson's and Laplace's equations; potential of point charge; Coulomb superposition integralProblem set 3 out
R5The 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
L5Method of images
R6Method 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 B-H 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
L7Conservation of charge boundary condition; maxwell capacitor; magnetic dipoles and circuits; reluctance
II. Plane waves
L8Wave equation; Poynting's theorem
R8

Sinusoidal steady state; normal incidence on a perfect conductor and a dielectric

Demo: plane wave movies

L9Oblique 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 mediaProblem set 5 out
R9

Snell's law: brewster and critical angles; effects of ohmic loss; skin-depth

Demo: laser and prism Brewster's angle, critical angle

Problem set 4 due
R10Lasers; applications to optics: polarization by reflection; totally reflecting prisms; fiber optics-straight light pipe, bent fiber
R11Lasers; 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

R12Transmission line sinusoidal steady state problems with short circuit, open circuit, and loaded ends; short-line 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

R13Quiz 1 review
Q1Quiz 1
R14Impedance and VSWR problems using the Smith chart; single-stub 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
L13Reflections 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

L14Rectangular waveguides; TM and TE modes; cut-offProblem set 8 out
R17Cavity resonators; group and phase velocity; dispersion relations; lasersProblem set 7 due
IV. Fields and forces
L15

Dielectric waveguides

Demo: evanescent waves

R18Force 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)

R19Ohm'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

Self-excited electric and magnetic machines

Demo: H/M 7.7.1 van de Graaff and Kelvin generators (video); self-excited commutator machines

R20Quiz 2 review
Q2Quiz 2
R21Torque-speed characteristics of rotating machines
V. Antennas and radiation
L19Radiation 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 propertiesProblem set 10 out
R22Electric and magnetic fields from a point electric dipole; far-field solution; radiation resistance; effective dipole length; antenna gainProblem set 9 due
L20

2 element array; broad side and end-fire 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
L21Transmitting and receiving antennas; wireless and optical communications
R24Wireless and optical communication problems
VI. Acoustics
L22Acoustic waves
R25Acoustic wave boundary value problemsProblem set 11 due
L23Course review

 








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