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Last updated:

October 6, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

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Description

6.641 examines electric and magnetic quasistatic forms of Maxwell’s equations applied to dielectric, conduction, and magnetization boundary value problems.

Topics covered include: electromagnetic forces, force densities, and stress tensors, including magnetization and polarization; thermodynamics of electromagnetic fields, equations of motion, and energy conservation; applications to synchronous, induction, and commutator machines; sensors and transducers; microelectromechanical systems; propagation and stability of electromechanical waves; and charge transport phenomena.

Acknowledgement

The instructor would like to thank Thomas Larsen for transcribing into LaTeX selected homework problems, homework solutions, and exams.

Course Curriculum

    • Integral form of Maxwell’s equations Unlimited
    • Differential form of Maxwell’s equations Unlimited
    • Electroquasistatic (EQS) and magnetoquasistatic (MQS) fields and boundary conditions Unlimited
    • The scalar electric potential and the Coulomb superposition integral Unlimited
    • Method of images Unlimited
    • Magnetoquasistatics Unlimited
    • Polarization and conduction Unlimited
    • Magnetization Unlimited
    • Magnetic diffusion phenomena Unlimited
    • Solutions to Laplace’s equation in cartesian coordinates Unlimited
    • Solutions to Laplace’s equation in polar and spherical coordinates Unlimited
    • Electroquasistatic forces Unlimited
    • Magnetoquasistatic forces Unlimited
    • Fields and moving media Unlimited
    • Force densities, stress tensors, and forces Unlimited
    • Elastic waves on a thin rod Unlimited
    • Transient waves on transmission lines Unlimited
    • Waves and instabilities in elastic media Unlimited
    • Waves and instabilities in the presence of motion Unlimited

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Massachusetts Institute of Technology