Capacitance of a conducting hollow cylindrical shell in a closed form

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F23%3A00582166" target="_blank" >RIV/67985815:_____/23:00582166 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.elstat.2023.103866" target="_blank" >https://doi.org/10.1016/j.elstat.2023.103866</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.elstat.2023.103866" target="_blank" >10.1016/j.elstat.2023.103866</a>

Result language
angličtina
Original language name
Capacitance of a conducting hollow cylindrical shell in a closed form
Original language description
The charge distribution within a hollow conducting cylinder with zero-thickness walls is calculated from the minimum potential energy (U) consideration. The surface charge density consists of a diverging term (Jackson, 1975) and a sum of Legendre polynomials with the coefficients determined from the minimum U approach. The sum converges. This allows to express the capacitance in closed form. It is in agreement with Butler (1980). We present electric field lines inside and outside of the cylinder. An electric field pattern can be studied in detail. Most of the numerical analysis is done for the conducting cylinder of the length equal to ten radii. The surface charge density near the edges diverges, and in the middle, it is twenty five percent less than that of a uniformly distributed charge. The self-energy of the conducting cylinder is about 5 percent lower than that of uniformly distributed surface charge. The results can be applied to antennas of artificial satellites and space probes.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20201 - Electrical and electronic engineering

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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