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)

(PDF - 1.0 MB)

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)