Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

Use of the Vector Magnetic Potential Concept and Very High Precision Computation Software to Study the Electromagnetic Fields of Accelerated Charged Particles

W. Hughes
Journal / Anthology

IEEE Transactions on Magnetics
Year: 1993
Volume: 29
Issue: 2
Page range: 1918-1922

The vector magnetic potential (VMP) is an extremely useful tool in the anlaysis of certain types of electromagnetic problems, particularly in antenna analysis. It will be shown in this paper that when the VMP concept is combined with high precision computation, such as is available in Mathematica or Derive software, an analysis technique can be developed that also greatly simplifies the study of electric and magnetic fields created by individual accelerated particles. Sometimes this technique yields mathematical results that may not be intuitively obvious. For example it can be shown that a linearly accelerated charge generates a field which opposes its own acceleration in a manner analogous to Newtonian inertial forces. Conditions for the two to be equal are developed. Further, it can be shown that under certain conditions, a spinning charge could generate a static electric field equal numerically to its own supposed Coulomb field simply because it is spinning. Finally, it can be shown that the spinning charge, when linearly accelerated, gives results consistent with restricted relativity concepts.

*Engineering > Electrical Engineering
*Science > Physics > Electromagnetism