Electromagnetics from a quasistatic perspective

Quasistatic models provide intermediate levels of electromagnetic theory in between statics and the full set of Maxwell’s equations. Quasistatics is easier than general electrodynamics and in some ways more similar to statics, but exhibits more interesting physics and more important applications than statics. Quasistatics is frequently used in electromagnetic modeling, and the pedagogical potential of electromagnetic simulations gives additional support for the importance of quasistatics. Quasistatics is introduced in a way that fits into the standard textbook presentations of electrodynamics.

[1]  J. Stachel,et al.  If Maxwell had worked between Ampère and Faraday: An historical fable with a pedagogical moral , 1980 .

[2]  C. Darwin,et al.  LI. The dynamical motions of charged particles , 1920 .

[3]  M. Bellac,et al.  Galilean electromagnetism , 1973 .

[4]  E. Baum,et al.  Eddy currents and electrical surface charges , 2003 .

[5]  J. Jackson,et al.  From Lorenz to Coulomb and other explicit gauge transformations , 2002, physics/0204034.

[6]  W. M. Saslow,et al.  Maxwell’s theory of eddy currents in thin conducting sheets, and applications to electromagnetic shielding and MAGLEV , 1992 .

[7]  José A. Heras.  Time-Dependent Generalizations of the Biot-Savart and Coulomb Laws , 1995 .

[8]  Allan N. Kaufman,et al.  The Darwin Model as a Tool for Electromagnetic Plasma Simulation , 1971 .

[9]  M. Gibbons,et al.  The Darwin Direct Implicit Particle-in-Cell (DADIPIC) Method for Simulation of Low Frequency Plasma Phenomena , 1995 .

[10]  R. Unbehauen,et al.  Time‐dependent generalizations of the Biot–Savart and Coulomb laws , 1991 .

[11]  C. Whitney.  On the Ampere/Biot–Savart discussion , 1988 .

[12]  E. Breitenberger.  MAGNETIC INTERACTIONS BETWEEN CHARGED PARTICLES. , 1968 .

[13]  O. Heaviside.  XXXIX. On the electromagnetic effects due to the motion of electrification through a dielectric , 1889 .

[14]  Eric Sonnendrücker,et al.  Approximate models for the Maxwell equations , 1995 .

[15]  G. Temple.  Static and Dynamic Electricity , 1940, Nature.

[16]  D. Koks,et al.  The transient magnetic field outside an infinite solenoid , 1996 .

[17]  P. A. Mello.  A Remark on Maxwell's Displacement Current , 1972 .

[18]  T. Biswas.  Displacement current—A direct derivation , 1988 .

[19]  J. D. Templin.  Exact Solution to the Field Equations in the Case of an Ideal , 1995 .

[20]  D. Bartlett.  Conduction current and the magnetic field in a circular capacitor , 1990 .

[21]  Dennis W. Hewett,et al.  Streamlined Darwin simulation of nonneutral plasmas , 1987 .