The calendar below provides information on the course’s lecture (L), recitation (R), and quiz (Q) sessions. The calendar also provides the topics of films and demonstrations shown in class.
SES # | TOPICS | DEMOS | KEY DATES |
---|---|---|---|
I. Maxwell’s equations and boundary conditions | |||
L1 | Integral form of Maxwell’s equations | 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 |
|
L2 | Differential form of Maxwell’s equations | ||
R2 | Gauss’ and Ampere’s law problems using differential laws | ||
L3 | Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions | Problem set 2 out | |
R3 | Examples of quasistatic systems; short transmission lines | Problem set 1 due | |
L4 | The scalar electric potential and the Coulomb superposition integral | ||
R4 | Superposition integral examples | ||
L5 | Method of images | 4.7.1 - Charge induced in ground plane by overhead conductor | Problem set 3 out |
R5 | Method of images examples | Problem set 2 due | |
L6 | Magnetoquasistatics | 8.2.1 - Fields of a circular cylindrical solenoid | |
R6 | MQS problems | 8.2.2 - Magnetic field of a Helmholtz coil | |
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 |
Problem set 4 out |
R8 | Conduction, resistance, and capacitance problems | ||
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 | |
R10 | Magnetic diffusion, skin effect | ||
III. Boundary value EQS and MQS problems | |||
L10 | Solutions to Laplace’s equation in cartesian coordinates | ||
Review of course to date | |||
Q1 | Quiz 1 | ||
R11 | Skin effect problems | ||
L11 | Solutions to Laplace’s equation in polar and spherical coordinates | ||
R12 | EQS boundary value problems in cartesian coordinates | 7.5.1 - Distribution of unpaired charge | |
IV. Electromagnetic fields and forces | |||
L12 | Electroquasistatic forces | 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 | ||
R14 | EQS and MQS boundary value problems in spherical coordinates | ||
L14 | Fields and moving media | Problem set 7 out | |
R15 | Forces in EQS devices | Problem set 6 due | |
L15 | Force densities, stress tensors, and forces | ||
R16 |
Forces in MQS devices Film: Synchronous Machines |
||
V. Electromechanical waves | |||
L16 | Elastic waves on a thin rod | Problem set 8 out | |
R17 | Moving media problems; Faraday disk (homopolar) machines | Problem set 7 due | |
L17 | Transient waves on transmission lines | ||
R18 | Torque-speed machine problems | ||
L18 |
Waves and instabilities in elastic media Film: Complex Waves I |
DC, AC, and electromechanically self-excited commutator machines | Problem set 9 out |
R19 | EQS forces, force densities, and stress tensors | Problem set 8 due | |
R20 | Applications of the EQS Maxwell stress tensor | ||
R21 | Review for quiz 2 | ||
Q2 | Quiz 2 | ||
R22 | EQS Maxwell stress tensor problems | ||
L19 |
Waves and instabilities in the presence of motion Film: Complex Waves II |
||
R23 | Applications of the MQS stress tensor | ||
L20 | Electromechanics of elastic waves | Problem set 10 out | |
R24 | Longitudinal waves in thin rods | Problem set 9 due | |
L21 | Reflections from boundaries | ||
R25 | Longitudinal elastic wave problems | ||
L22 | Transverse waves in wires and membranes | Problem set 11 out | |
R26 | Analysis of ω-k dispersion and instabilities | Problem set 10 due | |
L23 | Instabilities of transverse waves in wires and membranes | ||
R27 | Electromechanical waves and instabilities in moving media | ||
L24 | Electromechanical wave and instability problems | ||
R28 | Electromechanical wave and instability problems (cont.) | Problem set 11 due | |
Course review | |||
Q3 | Final exam |