Continuum Electromechanics
Lecture Notes
WEEK # |
TOPICS |
1 |
Lecture 1: review of Maxwell's equations (PDF - 1.7 MB) |
2 |
Lecture 2: flux-potential relations for Laplacian fields (PDF) Lecture 3: air-gap magnetic machines and electrostatic machines (PDF) |
3 |
Lecture 4: solenoidal fields and vector potential transfer relations (PDF) |
4 |
Lecture 5: laws, approximations, and relations of fluid mechanics (PDF - 2.1 MB) Lecture 6: stress tensors (PDF) |
5 |
Lecture 6 (cont.): electromechanical dynamics (PDF) |
6 |
Lecture 7: pressure-velocity relations for inviscid, incompressible fluids (PDF) |
7 |
Lecture 8: electrohydrodynamic and ferrohydrodynamic instabilities (PDF - 1.7 MB) Kelvin-Helmholtz instability (PDF) |
8 |
Lecture 9: plasma stability (z-θ pinch) (PDF) |
9 |
Lecture 10: stability of a perfectly conducting spherical drop (Rayleigh's limit) (PDF) |
10 |
Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit) |
11 |
Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit) |
12 |
Lecture 11: smoothly inhomogeneous systems (PDF) |
Assignments
ASSIGNMENTS |
SOLUTIONS |
Problem set 1 (PDF) |
|
Problem set 2 (PDF) |
(PDF) |
Problem set 3 (PDF) |
(PDF) |
Problem set 4 (PDF) |
(PDF) |
Problem set 5 (PDF) |
(PDF) |
Problem set 6 (PDF) |
(PDF) |
Problem set 7 (PDF) |
(PDF) |
Problem set 8 (PDF) |
(PDF) |
Mathematica Notebooks
The following notebooks accompany problem set 1:
Problem 1 (NB - 3.3 MB)
Problem 2 (NB)
Exams
EXAMS |
SOLUTIONS |
Midterm (PDF - 1.3 MB) |
(PDF) |
Final exam (PDF - 2.0 MB) |
(PDF) |