Lecture Notes

Some of the images in the lecture notes are courtesy of MIT Press and Krieger Publishing. These images are used with permission.

Images courtesy of MIT Press are from the textbook:

Amazon logo Melcher, James R. Continuum Electromechanics. Cambridge, MA: MIT Press, 1981. ISBN: 9780262131650.

Images courtesy of Krieger Publishing are from the textbook:

Amazon logo Zahn, Markus. Electromagnetic Field Theory: A Problem Solving Approach. Malabar, FL: Krieger Publishing, Co., 2003. ISBN: 9781575242354.

The textbooks are available in Supplemental Resources under Continuum Electromechanics and Electromagnetic Field Theory: A Problem Solving Approach.

WEEK #TOPICS
1Lecture 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)

3Lecture 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)

5Lecture 6 (cont.): electromechanical dynamics (PDF)
6Lecture 7: pressure-velocity relations for inviscid, incompressible fluids (PDF)
7

Lecture 8: electrohydrodynamic and ferrohydrodynamic instabilities (PDF - 1.7 MB)

Kelvin-Helmholtz instability (PDF)

8Lecture 9: plasma stability (z-θ pinch) (PDF)
9Lecture 10: stability of a perfectly conducting spherical drop (Rayleigh's limit) (PDF)
10Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit)
11Lecture 10 (cont.): stability of a perfectly conducting spherical drop (Rayleigh's limit)
12Lecture 11: smoothly inhomogeneous systems (PDF)