Capacitance of a conducting hollow cylindrical shell in a closed form

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Capacitance of a conducting hollow cylindrical shell in a closed form

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Capacitance of a conducting hollow cylindrical shell in a closed form

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Electrostatics

ISSN

0304-3886

e-ISSN

1873-5738

Svazek periodika

126

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

9

Strana od-do

103866

Kód UT WoS článku

001115072300001

EID výsledku v databázi Scopus

2-s2.0-85175695852