Excerpt from The Natural Charge Distribution and Capacitance of a Finite Conical Shell
Abstract Section 1. Introduction General Considerations A Sketch of the Method Used for this Disc 2. Statement of the Problem 3. Representation of the Solution h. Solution of the Integral Equations 5. Expansion of as an Infinite Product The Zeros of The Factorization of The Asymptotic Behavior of the Factors. The Factorization of the Coefficient K(u 9 6. The Calculation of A(o), E(u) and ¢(v) 7. The Series Expansion of the Potential Integrals Series Expansion in Region I Series Expansion in Region II Series Expansion in Region III 8. Capacitance of the Cone 9. Charge Density at Singular Points of the Cone The Charge Densities at the Apex of the Cone The Charge Densities at the Circular Edge.
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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book explores the complex relationship between natural charge distribution and the capacitance of a conical cup, extending the subject that was previously researched only for a disc. The author shows how the problem can be solved using a combination of spherical coordinates, Wiener-Hopf techniques, and a factorization of the product of two Legendre functions. The result of this is the ability to study the natural charge distribution on a conical cup, as well as its behavior at the apex and circular edge of the cup. By breaking the study down into three regions, the author finds the series expansion of the potential integrals and uses this to obtain eigen-series representations of the potential in the various regions. The capacitance of the cone is also obtained through these methods. Ultimately, the detailed treatment of the cone problem presented in this book adds to our finite list of boundary value problems whose solutions can be exhibited explicitly. 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 # 9781333644079_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333644079
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333644079
Quantity: 15 available