Courses:

Electromagnetics and Applications >> Content Detail



Calendar / Schedule



Calendar


Amazon logo When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more.

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

 








© 2009-2020 HigherEdSpace.com, All Rights Reserved.
Higher Ed Space ® is a registered trademark of AmeriCareers LLC.