A Treatise on the Theory of Alternating Currents: Volume 1

This book, first published in 1914, provides a guide to the more general mathematical theorems used by electricians in their everyday work.

Alexander Russell (Author)

9781107671331, Cambridge University Press

Paperback / softback, published 8 May 2014

550 pages
21.6 x 14 x 3.1 cm, 0.69 kg

First published in 1914, as the second edition of a 1904 original, this book forms part one of a two-volume series written to provide a guide to the more general mathematical theorems used by electricians in their everyday work. Illustrative figures are incorporated throughout the text. This book will be of value to anyone with an interest in electricity, physics and the history of science.

1. Introduction. Electrostatics. Magnetism. Electrodynamics
2. Alternating current in an inductive circuit. Self inductance formulae. Rectangle concentric main. Cylindrical wires
3. The inductance of circular and helical currents. Rayleigh's formula. Maximum inductance. Mutual inductance of coaxial coils. Lorenz's formula. Mathematical tables
4. Effective values. Choking coil and condenser currents. Effects of wave shape. Resonance
5. Electrostatic capacity. Maxwell's equations. Capacity formulae for parallel cylinders. The capacities of three core cables in terms of Maxwell's coefficients
6. Capacity formulae for cables. The capacity coefficients of overhead wires
7. High frequency currents. Complete solution for a concentric main. Parallel conductors. Mathematical tables
8. Problems in connection with spherical electrodes. The capacity coefficients. The attractions and repulsion. The maximum value of the electric stress
9. Current oscillations. Inductively coupled electric circuits. Forced oscillations
10. The theory of the power factor. Phase difference
11. The method of the complex variable. Graphical solution
12. Vectors in space. Failure of graphical methods
13. The measurement of power. Watt-hour meters
14. The air core transformer. Circle diagrams
15. The theory of three phase currents. Power measurement
16. The theory of two phase currents. Power measurement
17. The conversion of polyphase systems. Phase indicators
18. Rotating magnetic fields. Guiding magnetic fields
19. The magnetic field bound single and polyphase cables. Losses in single, two and three phase cables. Dielectric losses
20. Eddy current losses. Metal plates. Metal cylinders
21. The method of duality. Reciprocal theorems
Index
Symbols
Index.

Subject Areas: Physics [PH]