Isbn: 9780365638902 - calculation of the admittance of a parallel plate capacitor containing a toroid-shaped sample (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book presents a complex calculation regarding the admittance of a parallel plate capacitor containing a toroid-shaped sample. The paper is exceptional because it corrects the usual quasi-static formula (zero-order solution) for characterizing a capacitor to at least second order in perturbation theory. The zero and first-order calculations occur under the assumption that there is no height dependence of the electromagnetic field. The formula, however, permits lossy materials (complex μ and ε) because the experiment utilizes a geometry where the sample is not in contact with the capacitor plates. As a result, it is necessary to make an educated guess regarding an effective permeability and permittivity for the zero and first-order solution to the problem. The second-order term primarily attempts to adjust for the effects of there being height dependence in the electromagnetic field. The theoretical admittance of a toroid-shaped sample in a parallel-plate capacitor system is developed, with the author demonstrating a first and second-order perturbation correction to the usual quasi-static formula. The depth of the analysis provides a solid foundation for comprehension of the complex relationship between a sample's properties and its behavior in a capacitor system. 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.…