In this post, we will see the book Problems In Electrodynamics by V.V. Batygin; I.N. Toptygin

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# About the book

This book contains about 750 problems on classical electrodynamics and its more important applications, including over 150 problems on the special theory of relativity, and about 70 problems on vector and tensor analysis.

In addition to problems illustrating fundamental concepts and laws of electrodynamics, which can be solved by purely mathematical methods, the collection includes a large number of more complicated problems (these are indicated by asterisks). Some of the solutions involve a considerable amount of effort, while others are purely theoretical in nature and follow from a lecture course on electrodynamics (propagation of waves in anisotropic and gyrotropic media, motion of charged particles in the electromagnetic field, representation of the electromagnetic field by a set of oscillators, and so on). Finally, there are problems which are concerned with topics which are not well covered by existing texts, for example, interaction of charged particles with matter (Chapter XIII), applications of conservation laws to the analysis of collision processes and particle disintegration (Chapter XI), ferromagnetic resonance (Chapter VI), and so on. The second part of the book gives answers and solutions to a large number of these problems.

Each section is prefaced by a short theoretical introduction in which the necessary formulae are given. These short introductions do not pretend to be complete; more extensive treatments will be found in the books listed in the bibliography.

The book was translated from Russian by was published in by Publishers.

Credits to original uploader.

You can get the book here.

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# Contents

Preface iii

Problems Solutions

Chapter I. Vector and tensor calculus 1 185

Chapter II. Electrostatics in vacuum 15 194

Chapter III. Electrostatics of conductors and dielectrics 27 207

Chapter IV. Steady currents 49 240

Chapter V. Magnetostatics 56 247

Chapter VI. Electrical and magnetic properties of matter 68 266

Chapter VII. Quasi-stationary electromagnetic fields 82 286

Chapter VIII. Propagation of electromagnetic waves 93 313

Chapter IX. Electromagnetic oscillations in bounded bodies 113 358

Chapter X. Special theory of relativity 120 375

Chapter XI. Relativistic mechanics 135 391

Chapter XII. Emission of electromagnetic waves 153 420

Chapter XIII. The radiation emitted during the interaction of charged particles with matter 177 462

Appendix I. The 𝛿-function 481

Appendix II. Spherical Legendre functions 234

Appendix III. Cylindrical functions 487

Index 491