<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-3542</journal-id>
<journal-title><![CDATA[Revista mexicana de física E]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fís. E]]></abbrev-journal-title>
<issn>1870-3542</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-35422006000200015</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[How to get mechanical work from a capacitor and a couple of batteries]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Miranda]]></surname>
<given-names><![CDATA[E.N.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad de Mendoza Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[Mendoza ]]></addr-line>
<country>Argentina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2006</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2006</year>
</pub-date>
<volume>52</volume>
<numero>2</numero>
<fpage>215</fpage>
<lpage>217</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-35422006000200015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-35422006000200015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-35422006000200015&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The work done by a parallel plate capacitor is evaluated when the plate separation is changed. Two cases are considered: 1) when the capacitor has a constant charge; 2) when the capacitor is at constant voltage. The net work is calculated when the device follows a closed cycle in the charge-voltage space. For certain conditions a net mechanical work can be obtained from the cycling capacitor. The analysis is simple enough to be explained in a general physics course.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Se ha evaluado el trabajo realizado por un capacitor plano cuando se cambia la separación entre las placas. Se consideran dos casos: 1) el capacitor tiene carga constante; 2) el capacitor está a potencial constante. Se calcula el trabajo neto cuando el dispositivo realiza un ciclo cerrado en el espacio de carga-voltaje. Bajo ciertas condiciones, se puede obtener trabajo mecánico neto del capacitor. El análisis es lo suficientemente simple como para ser explicado en un curso de física general.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Electrical engine]]></kwd>
<kwd lng="en"><![CDATA[capacitor]]></kwd>
<kwd lng="es"><![CDATA[Máquina eléctrica]]></kwd>
<kwd lng="es"><![CDATA[capacitor]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Ense&ntilde;anza</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>How to get mechanical work from a capacitor and a couple of batteries</b></font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>E.N. Miranda*</b></font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><i>&Aacute;rea de Ciencias Exactas, CRICYT, 5500&#45;Mendoza, Argentina, Facultad de Ingenier&iacute;a, Universidad de Mendoza, 5500&#45;Mendoza, Argentina y Departamento de F&iacute;sica, Unidad Nacional de San Luis, 5700&#45;San Luis, Argentina.</i> * E&#45;mail: <a href="mailto:emiranda@lab.cricyt.edu.ar">emiranda@lab.cricyt.edu.ar</a></font></p>      <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Recibido el 6 de junio de 2006;    ]]></body>
<body><![CDATA[<br> 	aceptado el 7 de agosto de 2006</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">The work done by a parallel plate capacitor is evaluated when the plate separation is changed. Two cases are considered: 1) when the capacitor has a constant charge; 2) when the capacitor is at constant voltage. The net work is calculated when the device follows a closed cycle in the charge&#45;voltage space. For certain conditions a net mechanical work can be obtained from the cycling capacitor. The analysis is simple enough to be explained in a general physics course.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Electrical engine; capacitor.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Se ha evaluado el trabajo realizado por un capacitor plano cuando se cambia la separaci&oacute;n entre las placas. Se consideran dos casos: 1) el capacitor tiene carga constante; 2) el capacitor est&aacute; a potencial constante. Se calcula el trabajo neto cuando el dispositivo realiza un ciclo cerrado en el espacio de carga&#45;voltaje. Bajo ciertas condiciones, se puede obtener trabajo mec&aacute;nico neto del capacitor. El an&aacute;lisis es lo suficientemente simple como para ser explicado en un curso de f&iacute;sica general.</font></p>      <p align="justify"><font face="verdana" size="2"><b>Descriptores:</b> M&aacute;quina el&eacute;ctrica; capacitor.</font></p>      <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">PACS: 41.20; 84.32; 84.50</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmfe/v52n2/v52n2a15.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p> 	    <p align="justify">&nbsp;</p>     <p align="justify"><font face="verdana" size="2"><b>References</b></font>	</p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. J.R. Reitz, F.J. Milford, and R.W. Christy, <i>Introduction to Electromagnetic Theory</i> (Addison&#45;Wesley, 1992).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8445437&pid=S1870-3542200600020001500001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">2. E. Purcell, <i>Electricity and Magnetism,</i> Berkely Physics Course (McGraw&#45;Hill, 1970) Vol. II.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8445439&pid=S1870-3542200600020001500002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">3. D. Halliday, R. Resnick, and J. Walker, <i>Fundamentals of Physics</i> (Wiley, 2004).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8445441&pid=S1870-3542200600020001500003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">4. R.A. Serway, J.S. Faughn, C. Vuille, and C.A. Benett, <i>College Physics</i> (Brooks Cole).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8445443&pid=S1870-3542200600020001500004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
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