http://www.mysolutions.tecnico.ulisboa.pt//wiki/api.php?action=feedcontributions&feedformat=atom&user=Ist181114My Solutions - Contribuições do utilizador [pt]2026-07-02T20:14:20ZContribuições do utilizadorMediaWiki 1.35.2http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Debye_shield_/spherical_conductor&diff=3784Debye shield /spherical conductor2018-01-20T00:05:54Z<p>Ist181114: </p>
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*CONTEXTO : Segundo ciclo universitário<br />
*AREA: Física<br />
*DISCIPLINA: Física e Tecnologia dos Plasmas<br />
*ANO: 4<br />
*LINGUA: en<br />
*AUTOR: Vasco Guerra<br />
*MATERIA PRINCIPAL: Debye shielding and fundamental efects<br />
*DESCRICAO: Debye shield /spherical conductor<br />
*DIFICULDADE: *<br />
*TEMPO MEDIO DE RESOLUCAO: 300 [s]<br />
*TEMPO MAXIMO DE RESOLUCAO: 600 [s]<br />
*PALAVRAS CHAVE: <br />
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(F. F. Chen \(\sim\) 1.10) A spherical conductor of radius \(R\) is immersed in a plasma and charged to a potential \(\phi_0\).<br />
The electrons remain Maxwellian and move to form a Debye shield, but the ions are stationary during the time frame<br />
of the experiment. Assuming \(e\phi_0\ll k T_e\):<br />
<br />
(a) derive an expression for the potential as a function of \(r\);<br />
<br />
(b) calculate the charge in the sphere;<br />
<br />
(c) calculate the sphere capacity for \(R=10\) cm, \(T_e=1\) keV and \(n_0=10^{14}\) and \(10^6\) cm\(^{-3}\), and show that for <br />
high electron densities the plasma behaves as a dielectric.</div>Ist181114http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Debye_shield_/spherical_conductor&diff=3782Debye shield /spherical conductor2018-01-20T00:05:37Z<p>Ist181114: </p>
<hr />
<div><div class="toccolours mw-collapsible mw-collapsed" style="width:420px"><br />
'''Metadata'''<br />
<div class="mw-collapsible-content"><br />
*CONTEXTO : Segundo ciclo universitário<br />
*AREA: Física<br />
*DISCIPLINA: Física e Tecnologia dos Plasmas<br />
*ANO: 4<br />
*LINGUA: en<br />
*AUTOR: Vasco Guerra<br />
*MATERIA PRINCIPAL: Debye shielding and fundamental efects<br />
*DESCRICAO: Debye shield /spherical conductor<br />
*DIFICULDADE: *<br />
*TEMPO MEDIO DE RESOLUCAO: 300 [s]<br />
*TEMPO MAXIMO DE RESOLUCAO: 600 [s]<br />
*PALAVRAS CHAVE: <br />
</div><br />
</div><br />
(F. F. Chen \(\sim\) 1.10) A spherical conductor of radius $R$ is immersed in a plasma and charged to a potential \(\phi_0\).<br />
The electrons remain Maxwellian and move to form a Debye shield, but the ions are stationary during the time frame<br />
of the experiment. Assuming \(e\phi_0\ll k T_e\):<br />
<br />
(a) derive an expression for the potential as a function of \(r\);<br />
<br />
(b) calculate the charge in the sphere;<br />
<br />
(c) calculate the sphere capacity for \(R=10\) cm, \(T_e=1\) keV and \(n_0=10^{14}\) and \(10^6\) cm\(^{-3}\), and show that for <br />
high electron densities the plasma behaves as a dielectric.</div>Ist181114