Format:
1 Online-Ressource (X, 231 p. 75 illus., 67 illus. in color.)
ISBN:
9783030402648
Series Statement:
Springer eBook Collection
Content:
Preface -- Chapter 1: Introduction -- Chapter 2: The Vector Potential For a Current Step -- Chapter 3: Fields and Field Lines -- Chapter 4: Radiated Energy and the Sudden Turnoff -- Chapter 5: The Fields of a Linear Current Ramp -- Chapter 6: The Stretching and Pinchoff of Loops -- Chapter 7: Non-Linear Current Ramps -- Chapter 8: Other Examples of interacting Fields -- Chapter 9: Short-Wave Radiation -- Chapter 10: Radiated Energy for General Current Ramps -- Chapter 11: Oscillating Currents -- Chapter 12: Single-Source Dynamics -- Chapter 13: The Interaction of Two Sources -- Chapter 14: Concentric Sources -- Chapter 15: The Boundary-Value Approach -- Chapter 16: The Conducting Core -- Chapter 17: Summary -- Chapter 18: Epilogue -- Index.
Content:
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.
Additional Edition:
ISBN 9783030402631
Additional Edition:
ISBN 9783030402655
Additional Edition:
ISBN 9783030402662
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030402631
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030402655
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030402662
Additional Edition:
Erscheint auch als Druck-Ausgabe Sheeley, Neil R. Transient magnetic fields Cham : Springer, 2020 ISBN 3030402630
Additional Edition:
ISBN 9783030402631
Language:
English
Keywords:
Transientes Magnetfeld
DOI:
10.1007/978-3-030-40264-8
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