6.641 | Spring 2005 | Graduate

Electromagnetic Fields, Forces, and Motion

Readings

The readings in the table below are separated into textbook sections and video demonstrations. The textbook sections come from the Zahn and Woodson/Melcher textbooks. The video demonstrations accompany the Haus/Melcher textbook. The Haus/Melcher textbook is used for the first half of the course in addition to the textbook sections listed below. All three textbooks can be found here.

Assigned Readings

Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach . Malabar, FL: Krieger Pub. Co., 2003. ISBN: 9781575242354.

Woodson, H. H., and J. R. Melcher. “Part I (Discrete Systems), and Part II (Fields, Forces, and Motion).” In Electromechanical Dynamics. Malabar, FL: Krieger Pub. Co., 1985. ISBN: 9780894644597 (Part I) and 9780898748475 (Part II).

Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.

Z = Zahn textbook; W/M = Woodson/Melcher textbook; H/M = Haus/Melcher textbook

SES # TOPICS DEMOS CHAPTERS / SECTIONS
I. Maxwell’s equations and boundary conditions
L1 Integral form of Maxwell’s equations   Z - 2.1-2.4, 5.1-5.2
R1 Gauss’ and Ampere’s law problems using integral laws

H/M - 1.4.1 - Magnetic field of a line current

H/M - 1.6.1 - Voltmeter reading induced by magnetic induction

Z - 2.4
L2 Differential form of Maxwell’s equations   Z - 1.4-1.5
R2 Gauss’ and Ampere’s law problems using differential laws    
L3 Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions   Z - 3.3, 5.6
R3 Examples of quasistatic systems; short transmission lines   Z - Ex. 8.1, 8.1.3, 8.3
L4 The scalar electric potential and the Coulomb superposition integral   Z - 2.5
R4 Superposition integral examples   Z - 2.3.5, 5.2.4
L5 Method of images H/M - 4.7.1 - Charge induced in ground plane by overhead conductor Z - 2.6-2.7
R5 Method of images examples   Z - 2.6-2.7
L6 Magnetoquasistatics H/M - 8.2.1 - Fields of a circular cylindrical solenoid Z - 5.4
R6 MQS problems H/M - 8.2.2 - Magnetic field of a Helmholtz coil  
II. Polarization, conduction, and magnetization
R7 Dielectric polarization and capacitance H/M - 6.6.1 - Artificial dielectric Z - 3.1
L7 Polarization and conduction

H/M - 7.7.1 - Relaxation of charge on particle in Ohmic conductor

H/M - Supplement: Van de Graaff and Kelvin generators

Z - 3.2
R8 Conduction, resistance, and capacitance problems   Z - 3.4
L8 Magnetization H/M - 9.4.1 - Measurements of B-H characteristic Z - 5.5, 6.2
R9 Magnetic circuits, inductance, transformers H/M - 8.6.1 - Surface currents induced in ground plane by overhead conductor Z - 6.2
L9 Magnetic diffusion phenomena H/M - 10.0.1 - Non uniqueness of voltage in an MQS system Z - 6.1
R10 Magnetic diffusion, skin effect   Z - 6.4
III. Boundary value EQS and MQS problems
L10 Solutions to Laplace’s equation in cartesian coordinates    
Q1 Quiz 1    
R11 Skin effect problems    
L11 Solutions to Laplace’s equation in polar and spherical coordinates   Z - 4.2
R12 EQS boundary value problems in cartesian coordinates H/M - 7.5.1 - Distribution of unpaired charge Z - 4.2
IV. Electromagnetic fields and forces
L12 Electroquasistatic forces   Z - 4.3
R13 EQS and MQS boundary value problems in polar geometries H/M - 7.5.2 - Rotation of an insulating rod in a steady current Z - 4.3
L13 Magnetoquasistatic forces   Z - 4.4
R14 EQS and MQS boundary value problems in spherical coordinates   Z - 4.4, 5.7.2
L14 Fields and moving media   W/M - Chapter 3
R15 Forces in EQS devices   W/M - Chapter 3
L15 Force densities, stress tensors, and forces   W/M - Chapter 5
R16

Forces in MQS devices

Film: Synchronous Machines

  W/M - Chapters 3-4
V. Electromechanical waves
L16 Elastic waves on a thin rod   W/M - Chapter 6
R17 Moving media problems; Faraday disk (homopolar) machines   W/M - 6.3
L17 Transient waves on transmission lines   W/M - 6.4
R18 Torque-speed machine problems   W/M - 6.4
L18

Waves and instabilities in elastic media

Film: Complex Waves I

DC, AC, and electromechanically self-excited commutator machines Z - 6.3
R19 EQS forces, force densities, and stress tensors   W/M - Chapter 8
R20 Applications of the EQS Maxwell stress tensor   W/M - Chapter 8
R21 Review for quiz 2   W/M - Chapters 3-8
Q2 Quiz 2    
R22 EQS Maxwell stress tensor problems    
L19

Waves and instabilities in the presence of motion

Film: Complex Waves II

  W/M - Chapter 8
R23 Applications of the MQS stress tensor    
L20 Electromechanics of elastic waves   W/M - 9.0-9.1
R24 Longitudinal waves in thin rods   W/M - 9.1
L21 Reflections from boundaries   W/M - 9.1
R25 Longitudinal elastic wave problems   W/M - 9.1
L22 Transverse waves in wires and membranes   W/M - 9.2, 10.0, 10.1
R26 Analysis of ω-k dispersion and instabilities   W/M - 10.1
L23 Instabilities of transverse waves in wires and membranes   W/M - 10.1
R27 Electromechanical waves and instabilities in moving media   W/M - 10.2, 10.3
L24 Electromechanical wave and instability problems   W/M - 10.2, 10.4
R28 Electromechanical wave and instability problems (cont.)   W/M - 10.2, 10.4
  Course review    
Q3 Final exam    

Course Info

Instructor
As Taught In
Spring 2005
Level
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes