| I. Maxwell's equations and boundary conditions |
| L1 |
Integral form of Maxwell's equations |
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Problem set 1 out |
| R1 |
Gauss' and Ampere's law problems using integral laws |
1.4.1 - Magnetic field of a line current
1.6.1 - Voltmeter reading induced by magnetic induction
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| L2 |
Differential form of Maxwell's equations |
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| R2 |
Gauss' and Ampere's law problems using differential laws |
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| L3 |
Electroquasistatic and magnetoquasistatic fields and boundary conditions |
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Problem set 2 out |
| R3 |
Examples of quasistatic systems; short transmission lines |
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Problem set 1 due |
| L4 |
The scalar electric potential and the Coulomb superposition integral |
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| R4 |
Superposition integral examples |
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| L5 |
Method of images |
4.7.1 - Charge induced in ground plane by overhead conductor |
Problem set 3 out |
| R5 |
Method of images examples |
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Problem set 2 due |
| L6 |
Magnetoquasistatics |
8.2.1 - Fields of a circular cylindrical solenoid |
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| R6 |
MQS problems |
8.2.2 - Magnetic field of a Helmholtz coil |
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| II. Polarization, conduction, and magnetization |
| R7 |
Dielectric polarization and capacitance |
6.6.1 - Artificial dielectric |
Problem set 3 due |
| L7 |
Polarization and conduction |
7.7.1 - Relaxation of charge on particle in Ohmic conductor
Supplement: Van de Graaff and Kelvin generators
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Problem set 4 out |
| R8 |
Conduction, resistance, and capacitance problems |
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| L8 |
Magnetization |
9.4.1 - Measurements of B-H characteristic |
Problem set 5 out |
| R9 |
Magnetic circuits, inductance, transformers |
8.6.1 - Surface currents induced in ground plane by overhead conductor |
Problem set 4 due |
| L9 |
Magnetic diffusion phenomena |
10.0.1 - Non uniqueness of voltage in an MQS system |
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| R10 |
Magnetic diffusion, skin effect |
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| III. Boundary value EQS and MQS problems |
| L10 |
Solutions to Laplace's equation in cartesian coordinates |
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Review of course to date |
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| Q1 |
Quiz 1 |
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| R11 |
Skin effect problems |
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| L11 |
Solutions to Laplace's equation in polar and spherical coordinates |
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| R12 |
EQS boundary value problems in cartesian coordinates |
7.5.1 - Distribution of unpaired charge |
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| IV. Electromagnetic fields and forces |
| L12 |
Electroquasistatic forces |
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Problem set 6 out |
| R13 |
EQS and MQS boundary value problems in polar geometries |
7.5.2 - Rotation of an insulating rod in a steady current |
Problem set 5 due |
| L13 |
Magnetoquasistatic forces |
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| R14 |
EQS and MQS boundary value problems in spherical coordinates |
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| L14 |
Fields and moving media |
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Problem set 7 out |
| R15 |
Forces in EQS devices |
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Problem set 6 due |
| L15 |
Force densities, stress tensors, and forces |
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| R16 |
Forces in MQS devices
Film: Synchronous Machines
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| V. Electromechanical waves |
| L16 |
Elastic waves on a thin rod |
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Problem set 8 out |
| R17 |
Moving media problems; Faraday disk (homopolar) machines |
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Problem set 7 due |
| L17 |
Transient waves on transmission lines |
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| R18 |
Torque-speed machine problems |
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| L18 |
Waves and instabilities in elastic media
Film: Complex Waves I
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DC, AC, and electromechanically self-excited commutator machines |
Problem set 9 out |
| R19 |
EQS forces, force densities, and stress tensors |
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Problem set 8 due |
| R20 |
Applications of the EQS Maxwell stress tensor |
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| R21 |
Review for quiz 2 |
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| Q2 |
Quiz 2 |
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| R22 |
EQS Maxwell stress tensor problems |
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| L19 |
Waves and instabilities in the presence of motion
Film: Complex Waves II
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| R23 |
Applications of the MQS stress tensor |
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| L20 |
Electromechanics of elastic waves |
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Problem set 10 out |
| R24 |
Longitudinal waves in thin rods |
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Problem set 9 due |
| L21 |
Reflections from boundaries |
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| R25 |
Longitudinal elastic wave problems |
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| L22 |
Transverse waves in wires and membranes |
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Problem set 11 out |
| R26 |
Analysis of ω-k dispersion and instabilities |
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Problem set 10 due |
| L23 |
Instabilities of transverse waves in wires and membranes |
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| R27 |
Electromechanical waves and instabilities in moving media |
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| L24 |
Electromechanical wave and instability problems |
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| R28 |
Electromechanical wave and instability problems (cont.) |
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Problem set 11 due |
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Course review |
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| Q3 |
Final exam |
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