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6.641

Electromagnetic Fields, Forces, and Motion

Graduate · Historical course

Spring 2009

Topics

  • L1: Integral form of Maxwell’s equations
  • L2: Differential form of Maxwell’s equations
  • L3: Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions
  • L4: The scalar electric potential and the Coulomb superposition integral
  • L5: Method of images
  • L6: Magnetoquasistatics
  • L7: Polarization and conduction
  • L8: Magnetization
  • L9: Magnetic diffusion phenomena
  • L10: Solutions to Laplace’s equation in Cartesian coordinates
  • Midterm
  • L11: Solutions to Laplace’s equation in polar and spherical coordinates
  • L12: Electroquasistatic forces
  • L13: Magnetoquasistatic forces
  • L14: Fields and moving media
  • L15: Force densities, stress tensors, and forces
  • L18: Waves and instabilities in elastic media
  • L19: Waves and instabilities in the presence of motion

Readings

  • Listed reading
  • [Z] = Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach . Malabar, FL: Krieger Pub. Co., 2003. ISBN: 9781575242354.
    Required
  • [W/M] = 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).
    Required
  • [H/M] = Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy . Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.
    Listed reading
  • SES #: 2 · TOPICS: L2: Differential form of Maxwell’s equations · READINGS: [Z] sections 1.4-1.5
    Reading assignment
  • SES #: 3 · TOPICS: L3: Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions · READINGS: [Z] sections 3.3 and 5.6
    Reading assignment
  • SES #: 4 · TOPICS: L4: The scalar electric potential and the Coulomb superposition integral · READINGS: [Z] sections 2.5, 2.3.5, and 5.2.4
    Reading assignment
  • SES #: 5 · TOPICS: L5: Method of images · DEMONSTRATIONS: [H/M] 4.7.1 - Charge induced in ground plane by overhead conductor · READINGS: [Z] sections 2.6-2.7
    Reading assignment
  • SES #: 9 · TOPICS: L9: Magnetic diffusion phenomena · DEMONSTRATIONS: [H/M] 10.0.1 - Non uniqueness of voltage in an MQS system · READINGS: [Z] section 6.1
    Reading assignment
  • SES #: 12-13 · TOPICS: L11: Solutions to Laplace’s equation in polar and spherical coordinates · DEMONSTRATIONS: [H/M] 7.5.1 - Distribution of unpaired charge · READINGS: [Z] section 4.2
    Reading assignment
  • SES #: 14-16 · TOPICS: L12: Electroquasistatic forces · DEMONSTRATIONS: [H/M] 7.5.2 - Rotation of an insulating rod in a steady current · READINGS: [Z] section 4.3
    Reading assignment
  • SES #: 17-20 · TOPICS: L13: Magnetoquasistatic forces · READINGS: [Z] sections 4.4 and 5.7.2
    Reading assignment
  • SES #: 21 · TOPICS: L14: Fields and moving media · READINGS: [W/M] chapter 3
    Reading assignment
  • SES #: 22 · TOPICS: L15: Force densities, stress tensors, and forces · READINGS: [W/M] chapter 5
    Reading assignment
  • Melcher James R. Complex Waves I: Propagation, Evanescence, and Instability . VHS. Produced by the National Committee for Electrical Engineering Films. Newton, MA: Education Development Center, 1968.
    Listed reading
  • Melcher, James R. Complex Waves II: Instability, Convection and Amplification . VHS. Produced by the National Committee for Electrical Engineering Films. Newton, MA: Education Development Center, 1968.
    Listed reading
  • [W/M] chapter 8
    Listed reading
Spring 2005

Topics

  • Integral form of Maxwell’s equations
  • Gauss’ and Ampere’s law problems using integral laws
  • Differential form of Maxwell’s equations
  • Gauss’ and Ampere’s law problems using differential laws
  • Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions
  • Examples of quasistatic systems; short transmission lines
  • The scalar electric potential and the Coulomb superposition integral
  • Superposition integral examples
  • Method of images
  • Method of images examples
  • Magnetoquasistatics
  • MQS problems
  • Dielectric polarization and capacitance
  • Polarization and conduction
  • Conduction, resistance, and capacitance problems
  • Magnetization
  • Magnetic circuits, inductance, transformers
  • Magnetic diffusion phenomena
  • Magnetic diffusion, skin effect
  • Solutions to Laplace’s equation in cartesian coordinates
  • Review of course to date
  • Skin effect problems
  • Solutions to Laplace’s equation in polar and spherical coordinates
  • EQS boundary value problems in cartesian coordinates
  • Electroquasistatic forces
  • EQS and MQS boundary value problems in polar geometries
  • Magnetoquasistatic forces
  • EQS and MQS boundary value problems in spherical coordinates
  • Fields and moving media
  • Forces in EQS devices
  • Force densities, stress tensors, and forces
  • Elastic waves on a thin rod
  • Moving media problems; Faraday disk (homopolar) machines
  • Transient waves on transmission lines
  • Torque-speed machine problems
  • EQS forces, force densities, and stress tensors
  • Applications of the EQS Maxwell stress tensor
  • EQS Maxwell stress tensor problems
  • Applications of the MQS stress tensor
  • Electromechanics of elastic waves
  • Longitudinal waves in thin rods
  • Reflections from boundaries
  • Longitudinal elastic wave problems
  • Transverse waves in wires and membranes
  • Analysis of ω-k dispersion and instabilities
  • Instabilities of transverse waves in wires and membranes
  • Electromechanical waves and instabilities in moving media
  • Electromechanical wave and instability problems
  • Electromechanical wave and instability problems (cont.)
  • Course review

Readings

  • Listed reading
  • Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach . Malabar, FL: Krieger Pub. Co., 2003. ISBN: 9781575242354.
    Listed reading
  • 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).
    Listed reading
  • Haus, Hermann A., and James R. Melcher. Electromagnetic Fields and Energy . Englewood Cliffs, NJ: Prentice-Hall, 1989. ISBN: 9780132490207.
    Listed reading
  • Z = Zahn textbook; W/M = Woodson/Melcher textbook; H/M = Haus/Melcher textbook
    Listed reading
  • SES #: L1 · TOPICS: Integral form of Maxwell’s equations · CHAPTERS / SECTIONS: Z - 2.1-2.4, 5.1-5.2
    Reading assignment
  • SES #: L2 · TOPICS: Differential form of Maxwell’s equations · CHAPTERS / SECTIONS: Z - 1.4-1.5
    Reading assignment
  • SES #: L3 · TOPICS: Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions · CHAPTERS / SECTIONS: Z - 3.3, 5.6
    Reading assignment
  • SES #: R3 · TOPICS: Examples of quasistatic systems; short transmission lines · CHAPTERS / SECTIONS: Z - Ex. 8.1, 8.1.3, 8.3
    Reading assignment
  • SES #: L4 · TOPICS: The scalar electric potential and the Coulomb superposition integral · CHAPTERS / SECTIONS: Z - 2.5
    Reading assignment
  • SES #: R4 · TOPICS: Superposition integral examples · CHAPTERS / SECTIONS: Z - 2.3.5, 5.2.4
    Reading assignment
  • SES #: L5 · TOPICS: Method of images · DEMOS: H/M - 4.7.1 - Charge induced in ground plane by overhead conductor · CHAPTERS / SECTIONS: Z - 2.6-2.7
    Reading assignment
  • SES #: R5 · TOPICS: Method of images examples · CHAPTERS / SECTIONS: Z - 2.6-2.7
    Reading assignment
  • SES #: L6 · TOPICS: Magnetoquasistatics · DEMOS: H/M - 8.2.1 - Fields of a circular cylindrical solenoid · CHAPTERS / SECTIONS: Z - 5.4
    Reading assignment
  • SES #: R7 · TOPICS: Dielectric polarization and capacitance · DEMOS: H/M - 6.6.1 - Artificial dielectric · CHAPTERS / SECTIONS: Z - 3.1
    Reading assignment
  • SES #: R8 · TOPICS: Conduction, resistance, and capacitance problems · CHAPTERS / SECTIONS: Z - 3.4
    Reading assignment
  • SES #: L8 · TOPICS: Magnetization · DEMOS: H/M - 9.4.1 - Measurements of B-H characteristic · CHAPTERS / SECTIONS: Z - 5.5, 6.2
    Reading assignment
  • SES #: R9 · TOPICS: Magnetic circuits, inductance, transformers · DEMOS: H/M - 8.6.1 - Surface currents induced in ground plane by overhead conductor · CHAPTERS / SECTIONS: Z - 6.2
    Reading assignment
  • SES #: L9 · TOPICS: Magnetic diffusion phenomena · DEMOS: H/M - 10.0.1 - Non uniqueness of voltage in an MQS system · CHAPTERS / SECTIONS: Z - 6.1
    Reading assignment
  • SES #: R10 · TOPICS: Magnetic diffusion, skin effect · CHAPTERS / SECTIONS: Z - 6.4
    Reading assignment
  • SES #: L11 · TOPICS: Solutions to Laplace’s equation in polar and spherical coordinates · CHAPTERS / SECTIONS: Z - 4.2
    Reading assignment
  • SES #: R12 · TOPICS: EQS boundary value problems in cartesian coordinates · DEMOS: H/M - 7.5.1 - Distribution of unpaired charge · CHAPTERS / SECTIONS: Z - 4.2
    Reading assignment
  • SES #: L12 · TOPICS: Electroquasistatic forces · CHAPTERS / SECTIONS: Z - 4.3
    Reading assignment
  • SES #: R13 · TOPICS: EQS and MQS boundary value problems in polar geometries · DEMOS: H/M - 7.5.2 - Rotation of an insulating rod in a steady current · CHAPTERS / SECTIONS: Z - 4.3
    Reading assignment
  • SES #: L13 · TOPICS: Magnetoquasistatic forces · CHAPTERS / SECTIONS: Z - 4.4
    Reading assignment
  • SES #: R14 · TOPICS: EQS and MQS boundary value problems in spherical coordinates · CHAPTERS / SECTIONS: Z - 4.4, 5.7.2
    Reading assignment
  • SES #: L14 · TOPICS: Fields and moving media · CHAPTERS / SECTIONS: W/M - Chapter 3
    Reading assignment
  • SES #: R15 · TOPICS: Forces in EQS devices · CHAPTERS / SECTIONS: W/M - Chapter 3
    Reading assignment
  • SES #: L15 · TOPICS: Force densities, stress tensors, and forces · CHAPTERS / SECTIONS: W/M - Chapter 5
    Reading assignment
  • Film: Synchronous Machines
    Listed reading
  • W/M - Chapters 3-4
    Listed reading
  • SES #: L16 · TOPICS: Elastic waves on a thin rod · CHAPTERS / SECTIONS: W/M - Chapter 6
    Reading assignment
  • SES #: R17 · TOPICS: Moving media problems; Faraday disk (homopolar) machines · CHAPTERS / SECTIONS: W/M - 6.3
    Reading assignment
  • SES #: L17 · TOPICS: Transient waves on transmission lines · CHAPTERS / SECTIONS: W/M - 6.4
    Reading assignment
  • SES #: R18 · TOPICS: Torque-speed machine problems · CHAPTERS / SECTIONS: W/M - 6.4
    Reading assignment
  • Film: Complex Waves I
    Listed reading
  • SES #: R19 · TOPICS: EQS forces, force densities, and stress tensors · CHAPTERS / SECTIONS: W/M - Chapter 8
    Reading assignment
  • SES #: R20 · TOPICS: Applications of the EQS Maxwell stress tensor · CHAPTERS / SECTIONS: W/M - Chapter 8
    Reading assignment
  • Film: Complex Waves II
    Listed reading
  • W/M - Chapter 8
    Listed reading
  • SES #: L20 · TOPICS: Electromechanics of elastic waves · CHAPTERS / SECTIONS: W/M - 9.0-9.1
    Reading assignment
  • SES #: R24 · TOPICS: Longitudinal waves in thin rods · CHAPTERS / SECTIONS: W/M - 9.1
    Reading assignment
  • SES #: L21 · TOPICS: Reflections from boundaries · CHAPTERS / SECTIONS: W/M - 9.1
    Reading assignment
  • SES #: R25 · TOPICS: Longitudinal elastic wave problems · CHAPTERS / SECTIONS: W/M - 9.1
    Reading assignment
  • SES #: L22 · TOPICS: Transverse waves in wires and membranes · CHAPTERS / SECTIONS: W/M - 9.2, 10.0, 10.1
    Reading assignment
  • SES #: R26 · TOPICS: Analysis of ω-k dispersion and instabilities · CHAPTERS / SECTIONS: W/M - 10.1
    Reading assignment
  • SES #: L23 · TOPICS: Instabilities of transverse waves in wires and membranes · CHAPTERS / SECTIONS: W/M - 10.1
    Reading assignment
  • SES #: R27 · TOPICS: Electromechanical waves and instabilities in moving media · CHAPTERS / SECTIONS: W/M - 10.2, 10.3
    Reading assignment
  • SES #: L24 · TOPICS: Electromechanical wave and instability problems · CHAPTERS / SECTIONS: W/M - 10.2, 10.4
    Reading assignment
  • SES #: R28 · TOPICS: Electromechanical wave and instability problems (cont.) · CHAPTERS / SECTIONS: W/M - 10.2, 10.4
    Reading assignment
Sources