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	<title>Condutor esférico com armadura interior e exterior - Histórico de revisões</title>
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	<updated>2026-08-01T11:42:54Z</updated>
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		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Condutor_esf%C3%A9rico_com_armadura_interior_e_exterior&amp;diff=379&amp;oldid=prev</id>
		<title>Ist173449 em 16h49min de 1 de outubro de 2015</title>
		<link rel="alternate" type="text/html" href="http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Condutor_esf%C3%A9rico_com_armadura_interior_e_exterior&amp;diff=379&amp;oldid=prev"/>
		<updated>2015-10-01T16:49:05Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;pt&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Revisão anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revisão das 16h49min de 1 de outubro de 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot; &gt;Linha 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*DESCRICAO: Determinação das densidades de carga numa superfície de separação de dois dielétricos.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*DESCRICAO: Determinação das densidades de carga numa superfície de separação de dois dielétricos.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*DIFICULDADE: **&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*DIFICULDADE: **&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*TEMPO MEDIO DE RESOLUCAO: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;10 &lt;/del&gt;min&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*TEMPO MEDIO DE RESOLUCAO: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;15 &lt;/ins&gt;min&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*TEMPO MAXIMO DE RESOLUCAO: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;20 &lt;/del&gt;min&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*TEMPO MAXIMO DE RESOLUCAO: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;30 &lt;/ins&gt;min&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*PALAVRAS CHAVE: campo elétrico, condutor, dielétrico, carga, condutividade, esfera, corrente, estacionária&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*PALAVRAS CHAVE: campo elétrico, condutor, dielétrico, carga, condutividade, esfera, corrente, estacionária&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;# &lt;/del&gt;Considere &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;o condensador plano representado na figura, &lt;/del&gt;constituído por &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;duas armaduras &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;superfície &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;S&lt;/del&gt;\), &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;entre as quais existem duas camadas dielétricas &lt;/del&gt;com &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;as espessuras &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;d_1&lt;/del&gt;\) e \(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;d_2&lt;/del&gt;\)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, a primeira &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;permitividade &lt;/del&gt;\( \epsilon \) e &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a segunda cheia &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ar de permitividade &lt;/del&gt;\( \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;epsilon_0 &lt;/del&gt;\)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;. Supondo que o condensador se pode assumir como ideal e que possui uma carga &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;q&lt;/del&gt;\)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, determine:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Considere &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;um condutor esférico &lt;/ins&gt;constituído por &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;uma armadura interior &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;raio &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_1&lt;/ins&gt;\) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;e por uma armadura exterior&lt;/ins&gt;, com &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a forma de uma coroa esférica, de raios &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_2&lt;/ins&gt;\) e \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_3&lt;/ins&gt;\)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. O espaço entre as armaduras está preenchido por dois dielétricos não perfeitos &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;permitividades iguais &lt;/ins&gt;\( \epsilon \) e de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;condutividades elétricas diferentes: &lt;/ins&gt;\( \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sigma_{c_1} &lt;/ins&gt;\) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;entre &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_1&lt;/ins&gt;\) e \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R'&lt;/ins&gt;\), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;e &lt;/ins&gt;\( \sigma_{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;c_2&lt;/ins&gt;} \) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;entre &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R'&lt;/ins&gt;\) e \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;R_2&lt;/ins&gt;\). Determine &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a relação entre &lt;/ins&gt;as densidades de carga elétrica na superfície de separação dos dois dielétricos &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;(superfície de raio \(R'\)) &lt;/ins&gt;e &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a densidade&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;## A diferença de potencial entre armaduras &lt;/del&gt;e &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;as densidades de carga de polarização.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;de carga elétrica \( \sigma_1 \) na armadura interior, quando o meio é atravessado por uma corrente estacionária&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;## O trabalho realizado por um agente exterior para aumentar a espessura da camada de vácuo de &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;d_2&lt;/del&gt;\) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;para \(2 \&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;d_2\), mantendo-se constante a carga no condensador. Mostre que a energia do sistema se conserva.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;# Considere agora que o condensador da figura é constituído por dois dielétricos não-perfeitos, de condutividades elétricas &lt;/del&gt;\( \sigma_{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;c_1&lt;/del&gt;} \) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;e &lt;/del&gt;\( &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;\sigma_{c_2} &lt;/del&gt;\)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, mantendo-se as permitividades como anteriormente, &lt;/del&gt;e &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;que se lhe aplica uma diferença de potencial constante, &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;V_1 - V_2&lt;/del&gt;\) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;entre as duas armaduras&lt;/del&gt;. Determine as densidades de carga elétrica &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;verdadeira &lt;/del&gt;na superfície de separação dos dois dielétricos e &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;nas armaduras do condensador&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ist173449</name></author>
	</entry>
	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Condutor_esf%C3%A9rico_com_armadura_interior_e_exterior&amp;diff=378&amp;oldid=prev</id>
		<title>Ist173449 em 16h47min de 1 de outubro de 2015</title>
		<link rel="alternate" type="text/html" href="http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Condutor_esf%C3%A9rico_com_armadura_interior_e_exterior&amp;diff=378&amp;oldid=prev"/>
		<updated>2015-10-01T16:47:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Revisão anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revisão das 16h47min de 1 de outubro de 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot; &gt;Linha 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Considere &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;um condutor esférico &lt;/del&gt;constituído por &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;uma armadura interior &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;raio &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_1&lt;/del&gt;\) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;e por uma armadura exterior&lt;/del&gt;, com &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a forma de uma coroa esférica, de raios &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_2&lt;/del&gt;\) e \(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_3&lt;/del&gt;\)&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;. O espaço entre as armaduras está preenchido por dois dielétricos não perfeitos &lt;/del&gt;de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;permitividades iguais &lt;/del&gt;\( \epsilon \) e de &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;condutividades elétricas diferentes: &lt;/del&gt;\( \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sigma_{c_1} &lt;/del&gt;\) entre \(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_1&lt;/del&gt;\) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;e &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R'&lt;/del&gt;\), &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;e &lt;/del&gt;\( \sigma_{&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;c_2&lt;/del&gt;} \) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;entre &lt;/del&gt;\(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R'&lt;/del&gt;\) e \(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R_2&lt;/del&gt;\). Determine &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a relação entre &lt;/del&gt;as densidades de carga elétrica na superfície de separação dos dois dielétricos &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(superfície de raio \(R'\)) &lt;/del&gt;e &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a densidade&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;# &lt;/ins&gt;Considere &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;o condensador plano representado na figura, &lt;/ins&gt;constituído por &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;duas armaduras &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;superfície &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;S&lt;/ins&gt;\), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;entre as quais existem duas camadas dielétricas &lt;/ins&gt;com &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;as espessuras &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;d_1&lt;/ins&gt;\) e \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;d_2&lt;/ins&gt;\)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, a primeira &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;permitividade &lt;/ins&gt;\( \epsilon \) e &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a segunda cheia de ar &lt;/ins&gt;de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;permitividade &lt;/ins&gt;\( \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;epsilon_0 \). Supondo que o condensador se pode assumir como ideal e que possui uma carga \(q&lt;/ins&gt;\)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, determine:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;de carga elétrica \( \sigma_1 \) na armadura interior, quando o meio é atravessado por uma corrente estacionária&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;## A diferença de potencial &lt;/ins&gt;entre &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;armaduras e as densidades de carga de polarização.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;## O trabalho realizado por um agente exterior para aumentar a espessura da camada de vácuo de &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;d_2&lt;/ins&gt;\) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;para &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;2 \, d_2&lt;/ins&gt;\), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mantendo-se constante a carga no condensador. Mostre que a energia do sistema se conserva.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;# Considere agora que o condensador da figura é constituído por dois dielétricos não-perfeitos, de condutividades elétricas &lt;/ins&gt;\( \sigma_{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;c_1&lt;/ins&gt;} \) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;e &lt;/ins&gt;\( &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\sigma_{c_2} &lt;/ins&gt;\)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, mantendo-se as permitividades como anteriormente, &lt;/ins&gt;e &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;que se lhe aplica uma diferença de potencial constante, &lt;/ins&gt;\(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;V_1 - V_2&lt;/ins&gt;\) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;entre as duas armaduras&lt;/ins&gt;. Determine as densidades de carga elétrica &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;verdadeira &lt;/ins&gt;na superfície de separação dos dois dielétricos e &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;nas armaduras do condensador.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ist173449</name></author>
	</entry>
	<entry>
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		<title>Ist173449: Criou a página com &quot;&lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot; style=&quot;width:420px&quot;&gt; '''Metadata''' &lt;div class=&quot;mw-collapsible-content&quot;&gt; *CONTEXTO : Primeiro ciclo universitário *AREA...&quot;</title>
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		<updated>2015-10-01T16:29:56Z</updated>

		<summary type="html">&lt;p&gt;Criou a página com &amp;quot;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt; &amp;#039;&amp;#039;&amp;#039;Metadata&amp;#039;&amp;#039;&amp;#039; &amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt; *CONTEXTO : Primeiro ciclo universitário *AREA...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt;&lt;br /&gt;
'''Metadata'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*CONTEXTO : Primeiro ciclo universitário&lt;br /&gt;
*AREA: Física&lt;br /&gt;
*DISCIPLINA: Eletromagnetismo e Óptica&lt;br /&gt;
*ANO: 2&lt;br /&gt;
*LINGUA: pt&lt;br /&gt;
*AUTOR: Jorge Loureiro&lt;br /&gt;
*MATERIA PRINCIPAL: Corrente elétrica estacionária&lt;br /&gt;
*DESCRICAO: Determinação das densidades de carga numa superfície de separação de dois dielétricos.&lt;br /&gt;
*DIFICULDADE: **&lt;br /&gt;
*TEMPO MEDIO DE RESOLUCAO: 10 min&lt;br /&gt;
*TEMPO MAXIMO DE RESOLUCAO: 20 min&lt;br /&gt;
*PALAVRAS CHAVE: campo elétrico, condutor, dielétrico, carga, condutividade, esfera, corrente, estacionária&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Considere um condutor esférico constituído por uma armadura interior de raio \(R_1\) e por uma armadura exterior, com a forma de uma coroa esférica, de raios \(R_2\) e \(R_3\). O espaço entre as armaduras está preenchido por dois dielétricos não perfeitos de permitividades iguais \( \epsilon \) e de condutividades elétricas diferentes: \( \sigma_{c_1} \) entre \(R_1\) e \(R'\), e \( \sigma_{c_2} \) entre \(R'\) e \(R_2\). Determine a relação entre as densidades de carga elétrica na superfície de separação dos dois dielétricos (superfície de raio \(R'\)) e a densidade&lt;br /&gt;
de carga elétrica \( \sigma_1 \) na armadura interior, quando o meio é atravessado por uma corrente estacionária&lt;/div&gt;</summary>
		<author><name>Ist173449</name></author>
	</entry>
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