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		<id>https://vctrac.es/index.php?action=history&amp;feed=atom&amp;title=tensi%C3%B3n_compleja</id>
		<title>tensión compleja - Historial de revisiones</title>
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		<updated>2026-04-06T18:07:54Z</updated>
		<subtitle>Historial de revisiones para esta página en el wiki</subtitle>
		<generator>MediaWiki 1.27.0</generator>

	<entry>
		<id>https://vctrac.es/index.php?title=tensi%C3%B3n_compleja&amp;diff=28445&amp;oldid=prev</id>
		<title>Elena en 17:18 19 oct 2020</title>
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				<updated>2020-10-19T17:18:34Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;tr style='vertical-align: top;' lang='es'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revisión del 17:18 19 oct 2020&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-l1&quot; &gt;Línea 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=tensión compleja=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=tensión compleja=&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:black; 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;(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;complex voltage&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]].'' Representación de una diferencia de potencial alterna sinusoidal, mediante un número complejo \(\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;bar &lt;/del&gt;V = a + {\rm{i}}&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;,&lt;/del&gt;b\), con \(a, b\) reales, e \({\rm{i}}&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/del&gt;= \sqrt { - 1} \). La amplitud de \(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;bar &lt;/del&gt;V\) es \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;(&lt;/del&gt;U: = &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;;&lt;/del&gt;|\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;bar &lt;/del&gt;V|&amp;#160; = \sqrt {{a^2} + {b^2}} \&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;) &lt;/del&gt;y su argumento \(\phi \) viene dado por \({\mathop{\rm tg}\nolimits} &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;\phi = b/a\). Introduciendo la pulsación \(\omega \) de la tensión, podemos expresar \(\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;bar &lt;/del&gt;V\) como \(\&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;bar &lt;/del&gt;V = U{{\mathop{\rm e}\nolimits} ^{{\mathop{\rm i}\nolimits} (\omega t + {\phi _0})}} = U\left( {cos (\omega t + {\phi _0}) + {\mathop{\rm i}\nolimits} {\mathop{\rm sen}\nolimits} (\omega t + {\phi _0})} \right)\), donde \({\phi _0}\) es la fase en \(t = 0\).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;complex voltage&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]].'' Representación de una diferencia de potencial alterna sinusoidal, mediante un número complejo \(\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;overline {&lt;/ins&gt;V&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;} &lt;/ins&gt;= a + {\rm{i}}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{\kern 0.5pt}&lt;/ins&gt;b\), con \(a, b\) reales, e \({\rm{i}} = \sqrt { - 1} \). La amplitud de \(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\overline &lt;/ins&gt;V\) es \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[&lt;/ins&gt;U: = |\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;overline &lt;/ins&gt;V|&amp;#160; = \sqrt {{a^2} + {b^2}} \&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;] &lt;/ins&gt;y su argumento \(\phi \) viene dado por \({\mathop{\rm tg}\nolimits} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{\kern 1pt} &lt;/ins&gt;\phi = b/a\). Introduciendo la pulsación \(\omega \) de la tensión, podemos expresar \(\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;overline &lt;/ins&gt;V\) como \(\&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;overline &lt;/ins&gt;V = U{{\mathop{\rm e}\nolimits} ^{{\mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{\kern 0.5pt}&lt;/ins&gt;\rm i}\nolimits} (\omega t + {\phi _0})}} = U\left( {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;cos &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{&lt;/ins&gt;(\omega t + {\phi _0})&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;} &lt;/ins&gt;+ {\mathop{\rm i}\nolimits&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}{\kern 1pt&lt;/ins&gt;} {\mathop{\rm sen}\nolimits} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{\kern 1pt}{&lt;/ins&gt;(\omega t + {\phi _0})&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;}&lt;/ins&gt;} \right)\), donde \({\phi _0}\) es la fase en \(t = 0\).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Elena</name></author>	</entry>

	<entry>
		<id>https://vctrac.es/index.php?title=tensi%C3%B3n_compleja&amp;diff=27426&amp;oldid=prev</id>
		<title>David en 17:11 21 ene 2020</title>
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				<updated>2020-01-21T17:11:14Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='es'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revisión del 17:11 21 ene 2020&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-l1&quot; &gt;Línea 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=tensión compleja=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=tensión compleja=&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:black; 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;(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;complex voltage&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]].'' Representación de una diferencia de potencial alterna sinusoidal, mediante un número complejo (bar V = a + {rm{i}},b), con (a,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;;&lt;/del&gt;b) reales, e ({rm{i}}, = sqrt { - 1} ). La amplitud de (bar V) es (U: = ;|bar V|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;; &lt;/del&gt;= sqrt {{a^2} + {b^2}} ) y su argumento (phi ) viene dado por ({mathop{rm tg}nolimits} &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;;&lt;/del&gt;phi = b/a). Introduciendo la pulsación (omega ) de la tensión, podemos expresar (bar V) como (bar V = U{{mathop{rm e}nolimits} ^{{mathop{rm i}nolimits} (omega t + {phi _0})}} = &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Uleft&lt;/del&gt;( {cos (omega t + {phi _0}) + {mathop{rm i}nolimits} {mathop{rm sen}nolimits} (omega t + {phi _0})} right)), donde ({phi _0}) es la fase en (t = 0).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;complex voltage&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]].'' Representación de una diferencia de potencial alterna sinusoidal, mediante un número complejo &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;bar V = a + {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm{i}},b&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;), con &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(a, b&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) reales, e &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;({&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm{i}}, = &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;sqrt { - 1} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;). La amplitud de &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(bar V&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) es &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(U: = ;|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;bar V| &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;= &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;sqrt {{a^2} + {b^2}} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) y su argumento &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;phi &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) viene dado por &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;({&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm tg}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; \&lt;/ins&gt;phi = b/a&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;). Introduciendo la pulsación &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;omega &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) de la tensión, podemos expresar &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;bar V&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) como &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;bar V = U{{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm e}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} ^{{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm i}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;omega t + {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;phi _0})}} = &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;U\left&lt;/ins&gt;( {cos (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;omega t + {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;phi _0}) + {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm i}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;mathop{&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;rm sen}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;nolimits} (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;omega t + {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;phi _0})} &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;right)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;), donde &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;({&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;phi _0}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;) es la fase en &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;(t = 0&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>David</name></author>	</entry>

	<entry>
		<id>https://vctrac.es/index.php?title=tensi%C3%B3n_compleja&amp;diff=26711&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
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				<updated>2020-01-20T09:54:26Z</updated>
		
		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nueva&lt;/b&gt;&lt;/p&gt;&lt;div&gt;=tensión compleja=&lt;br /&gt;
(''&amp;lt;span style=&amp;quot;color: green;&amp;quot;&amp;gt;complex voltage&amp;lt;/span&amp;gt;'') ''Fís[[Category:Física]].'' Representación de una diferencia de potencial alterna sinusoidal, mediante un número complejo (bar V = a + {rm{i}},b), con (a,;b) reales, e ({rm{i}}, = sqrt { - 1} ). La amplitud de (bar V) es (U: = ;|bar V|; = sqrt {{a^2} + {b^2}} ) y su argumento (phi ) viene dado por ({mathop{rm tg}nolimits} ;phi = b/a). Introduciendo la pulsación (omega ) de la tensión, podemos expresar (bar V) como (bar V = U{{mathop{rm e}nolimits} ^{{mathop{rm i}nolimits} (omega t + {phi _0})}} = Uleft( {cos (omega t + {phi _0}) + {mathop{rm i}nolimits} {mathop{rm sen}nolimits} (omega t + {phi _0})} right)), donde ({phi _0}) es la fase en (t = 0).&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>	</entry>

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