<?xml version="1.0"?>
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	<id>https://wiki.ifsc.edu.br/index.php?action=history&amp;feed=atom&amp;title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia</id>
	<title>Solução exercício 3 Ressonância - Histórico de revisão</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.ifsc.edu.br/index.php?action=history&amp;feed=atom&amp;title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia"/>
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	<updated>2026-05-12T22:19:02Z</updated>
	<subtitle>Histórico de revisões para esta página neste wiki</subtitle>
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	<entry>
		<id>https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15754&amp;oldid=prev</id>
		<title>imported&gt;Fargoud em 20h01min de 7 de junho de 2017</title>
		<link rel="alternate" type="text/html" href="https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15754&amp;oldid=prev"/>
		<updated>2017-06-07T20:01:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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-BR&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Edição anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Edição das 17h01min de 7 de junho de 2017&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-l15&quot;&gt;Linha 15:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 15:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;Se utilizarmos o critério de que, para Q &amp;gt; 10, a &amp;amp;cong; b:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;Se utilizarmos o critério de que, para Q &amp;gt; 10, a &amp;amp;cong; b:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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;   fs - &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f2 &lt;/del&gt;= 200/2 = 100 &amp;amp;rArr; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f2 &lt;/del&gt;= 12000 - 100 &amp;amp;cong; 11900 Hz&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;   fs - &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f1 &lt;/ins&gt;= 200/2 = 100 &amp;amp;rArr; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f1 &lt;/ins&gt;= 12000 - 100 &amp;amp;cong; 11900 Hz&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;e&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;e&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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;   fs + f2 = 100 &amp;amp;rArr; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f1 &lt;/del&gt;= 12000 + 100 &amp;amp;cong; 12100 Hz&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;   fs + f2 = 100 &amp;amp;rArr; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;f2 &lt;/ins&gt;= 12000 + 100 &amp;amp;cong; 12100 Hz&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;Para comprovar, multiplicamos f1.f2 e obtemos: 143.990.000, que é aproximadamente 144.000.000 Hz!!&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;Para comprovar, multiplicamos f1.f2 e obtemos: 143.990.000, que é aproximadamente 144.000.000 Hz!!&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Fargoud</name></author>
	</entry>
	<entry>
		<id>https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15753&amp;oldid=prev</id>
		<title>imported&gt;Fargoud em 20h00min de 7 de junho de 2017</title>
		<link rel="alternate" type="text/html" href="https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15753&amp;oldid=prev"/>
		<updated>2017-06-07T20:00:19Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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-BR&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Edição anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Edição das 17h00min de 7 de junho de 2017&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-l7&quot;&gt;Linha 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 7:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;Portanto:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;Portanto:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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;   fs&amp;amp; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &lt;/del&gt;f1.f2  &amp;amp;rArr; f1.f2 = 144 MHz&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;   fs &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &lt;/ins&gt;&amp;amp;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;radic;(&lt;/ins&gt;f1.f2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) &lt;/ins&gt; &amp;amp;rArr; f1.f2 = 144 MHz&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;e (f2 - f1) = BW&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;e (f2 - f1) = BW&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>imported&gt;Fargoud</name></author>
	</entry>
	<entry>
		<id>https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15752&amp;oldid=prev</id>
		<title>imported&gt;Fargoud: Criou página com 'a) R = 5 &amp;Omega; e Xl = 300 &amp;Omega; &amp;rArr; Q = 300/5 = 60   BW = fs/Q = 12000/60 = 200  b) fs = &amp;radic; (f1.f2)  Portanto:    fs&amp; = f1.f2  &amp;rArr; f1.f2 = 144 MHz  e (f2 - f1)...'</title>
		<link rel="alternate" type="text/html" href="https://wiki.ifsc.edu.br/index.php?title=Solu%C3%A7%C3%A3o_exerc%C3%ADcio_3_Resson%C3%A2ncia&amp;diff=15752&amp;oldid=prev"/>
		<updated>2017-06-07T19:59:03Z</updated>

		<summary type="html">&lt;p&gt;Criou página com &amp;#039;a) R = 5 Ω e Xl = 300 Ω ⇒ Q = 300/5 = 60   BW = fs/Q = 12000/60 = 200  b) fs = √ (f1.f2)  Portanto:    fs&amp;amp; = f1.f2  ⇒ f1.f2 = 144 MHz  e (f2 - f1)...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;a) R = 5 &amp;amp;Omega; e Xl = 300 &amp;amp;Omega; &amp;amp;rArr; Q = 300/5 = 60&lt;br /&gt;
&lt;br /&gt;
 BW = fs/Q = 12000/60 = 200&lt;br /&gt;
&lt;br /&gt;
b) fs = &amp;amp;radic; (f1.f2)&lt;br /&gt;
&lt;br /&gt;
Portanto:&lt;br /&gt;
&lt;br /&gt;
  fs&amp;amp; = f1.f2  &amp;amp;rArr; f1.f2 = 144 MHz&lt;br /&gt;
&lt;br /&gt;
e (f2 - f1) = BW&lt;br /&gt;
&lt;br /&gt;
  (f2 - f1) = 200&lt;br /&gt;
&lt;br /&gt;
Se utilizarmos o critério de que, para Q &amp;gt; 10, a &amp;amp;cong; b:&lt;br /&gt;
&lt;br /&gt;
  fs - f2 = 200/2 = 100 &amp;amp;rArr; f2 = 12000 - 100 &amp;amp;cong; 11900 Hz&lt;br /&gt;
&lt;br /&gt;
e&lt;br /&gt;
&lt;br /&gt;
  fs + f2 = 100 &amp;amp;rArr; f1 = 12000 + 100 &amp;amp;cong; 12100 Hz&lt;br /&gt;
&lt;br /&gt;
Para comprovar, multiplicamos f1.f2 e obtemos: 143.990.000, que é aproximadamente 144.000.000 Hz!!&lt;/div&gt;</summary>
		<author><name>imported&gt;Fargoud</name></author>
	</entry>
</feed>