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The Application of Hyperbolic Functions to Electrical Engineering Problems (Classic Reprint) - Softcover
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Excerpt from The Application of Hyperbolic Functions to Electrical Engineering Problems Hyperbolic functions have numerous, well recognized uses in applied science, particularly in the theory of charts (Mercator's projection), and in mechanics (strains). But it is only within recent years that their applications to electrical engineering have become evident. Wherever a line, or series of lines, of uniform linear constants is met with, an immediate field of usefulness for hyperbolic functions presents itself, particularly in high-frequency alternating-current lines. The following pages are intended to cover the scope and purport of five lectures given for the University of London, at The Institution of Electrical Engineers, Victoria Embankment, by kind permission of the Council. May 29 to June 2, 1911, bearing the same title as this book. The central ideas around which those lectures, and this presentation, have been framed are - (1) That the engineering quantitative theories of continuous-currents and of alternating-currents are essentially one and the same; all continuous-current formulas for voltage, current, resistance, power and energy being applicable to alternating-current circuits, when complex numbers are substituted for real numbers. Thus there appears to be only one continuous-current formula in this book (277) which is uninterpretable vectorially in alternating-current terms; namely, as shown in Appendix J, that which deals with the mechanical forces developed in a telegraph receiving instrument, such forces being essentially "real" and not complex quantities. (2) That there is a proper analogy between circular and hyperbolic trigonometry, which permits of the extension of the notion of an "angle" from the circular to the hyperbolic sector. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state
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- PublisherForgotten Books
- Publication date2020
- ISBN 10 1330189604
- ISBN 13 9781330189603
- BindingPaperback
- LanguageEnglish
- Number of pages296
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The Application of Hyperbolic Functions to Electrical Engineering Problems
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Paperback. Condition: New. Print on Demand. This book explores the applications of hyperbolic functions to electrical engineering problems, specifically in the study of continuous currents and alternating current power transmission lines. The author establishes that the quantitative theories of continuous and alternating current systems are inherently identical, with all continuous current formulas being interpretable in alternating current terms when complex numbers are substituted for real numbers. By applying hyperbolic trigonometric formulas, the author demonstrates the existence of an angle in both circular and hyperbolic sectors, with the hyperbolic angle representing the current or voltage distribution in a given sector of a conducting line. The author demonstrates the utility of these functions in analyzing phenomena such as the potential and current distribution in simple alternating current lines, heavily loaded lines, and the influence of additional distributed leakance on a loaded line. The ideas presented in the book have expanded the theoretical understanding of continuous and alternating current systems, making this a valuable resource for students, researchers, and practitioners in the field of electrical engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330189603_0
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The Application of Hyperbolic Functions to Electrical Engineering Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330189603
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The Application of Hyperbolic Functions to Electrical Engineering Problems Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330189603
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Kennelly, A: Application of Hyperbolic Functions to Electric
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Condition: New. KlappentextrnrnExcerpt from The Application of Hyperbolic Functions to Electrical Engineering ProblemsHyperbolic functions have numerous, well recognized uses in applied science, particularly in the theory of charts (mercator s projectio. Seller Inventory # 2147737160
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