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Transient Magnetic Fields

  • Neil R. Sheeley, Jr.
Book
  • 346 Downloads

Table of contents

  1. Front Matter
    Pages i-x
  2. Neil R. Sheeley Jr.
    Pages 1-4
  3. Neil R. Sheeley Jr.
    Pages 5-9
  4. Neil R. Sheeley Jr.
    Pages 11-20
  5. Neil R. Sheeley Jr.
    Pages 21-24
  6. Neil R. Sheeley Jr.
    Pages 25-35
  7. Neil R. Sheeley Jr.
    Pages 37-47
  8. Neil R. Sheeley Jr.
    Pages 49-82
  9. Neil R. Sheeley Jr.
    Pages 83-98
  10. Neil R. Sheeley Jr.
    Pages 99-110
  11. Neil R. Sheeley Jr.
    Pages 111-126
  12. Neil R. Sheeley Jr.
    Pages 127-136
  13. Neil R. Sheeley Jr.
    Pages 137-149
  14. Neil R. Sheeley Jr.
    Pages 151-170
  15. Neil R. Sheeley Jr.
    Pages 171-181
  16. Neil R. Sheeley Jr.
    Pages 183-190
  17. Neil R. Sheeley Jr.
    Pages 191-198
  18. Neil R. Sheeley Jr.
    Pages 199-215
  19. Neil R. Sheeley Jr.
    Pages 217-221
  20. Back Matter
    Pages 223-231

About this book

Introduction

This book is an original study aimed at understanding how vacuum magnetic fields change with time. Specifically, it describes the waves that radiate from a sphere when the electric current on its surface is turned on or off, either suddenly, gradually, or periodically.
Numerical simulations are an invaluable source of information about this and related subjects, but they are often more difficult to interpret than exact, closed-form solutions that can easily be applied to a variety of situations. Thus, the objective here is to obtain an exact solution of Maxwell’s equations in closed form—something simple, yet rigorous, which can be used as a model for understanding transient magnetic fields in more complicated situations. The work therefore stands as a self-contained solution of Maxwell’s equations for an electric current wrapped around the surface of a sphere.
This study assumes a strong background in electromagnetism or a related research area. Online animations are available for each figure to better illustrate the motions of magnetic field lines.

Keywords

vacuum magnetic fields sudden turn-on current radiated energy for a linear on-ramp reduced vector potential LQ on-ramp field lines for an on-ramp exponential off-ramp symmetric cubic on-ramp 1o/mo boundary

Authors and affiliations

  • Neil R. Sheeley, Jr.
    • 1
  1. 1.AlexandriaUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Aerospace