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[quote="lpever55"]Also ein pico Farad ist 10^-12 Farad 10^-6 waere Mikro und zur berechnung: versuch es einmal mit der formel: U(t) = U_0 * e^-(t/Tau) Tau = R*C[/quote]
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<table border="0" cellpadding="3" cellspacing="1" width="100%" class="forumline"> <tr> <th class="thCornerL" width="22%" height="26">Autor</th> <th class="thCornerR">Nachricht</th> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 17:09<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"></span><table width="90%" cellspacing="1" cellpadding="3" border="0" align="center"><tr> <td><span class="genmed"><b>Armesding2012 hat Folgendes geschrieben:</b></span></td> </tr> <tr> <td class="quote">Versuch 33: Frage und Antwort: <br /> <br /> <br /> <br />Rechnung: <br />0,5 * U_0 = U_0 * e^-(t/R * C) <br />ln 0,5 = -1* (t / ((4,33* 10^-6) * 20.000.000)) <br />ln 0,5 * -((4,33* 10^-6) * 20.000.000) = t <br />t = 60,0 Sekunden <br /> <br />Findet ihr den WERT plausibel? Stimmt alles?</td> </tr></table><span class="postbody"> <br /> <br /> <br />ich komme bei t auf 60,026...s also der Wert passt meiner Meinung nach!</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 17:06<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"></span><table width="90%" cellspacing="1" cellpadding="3" border="0" align="center"><tr> <td><span class="genmed"><b>Armesding2012 hat Folgendes geschrieben:</b></span></td> </tr> <tr> <td class="quote">t = 1,386 mal 10^-3 stimmt das??? welche einheit?</td> </tr></table><span class="postbody"> <br /> <br />die Einheit für die Zeit ist die Sekunde.</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 17:06<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Versuch 33: Frage und Antwort: <br /> <br />Ein Kondensator mit einer Kapazitaet von 4.33 Mikro-Farad(1 Mikro-Farad = 10^-6 F) wird ueber einen Widerstand von 20.000.000 Omega <br />entladen. In welcher Zeit ist die Spannung auf die <br />Hälfte des Anfangswertes abgesunken? <br /> <br />1 Farad = s/Ohm <br /> <br />Formeln: <br />U(t) = U_0 * e^-(t/Tau) <br /> <br />und <br />Tau = R*C <br /> <br />Es sei: <br />U(t) = 0,5 * U_0 <br /> <br />Rechnung: <br />0,5 * U_0 = U_0 * e^-(t/R * C) <br />ln 0,5 = -1* (t / ((4,33* 10^-6) * 20.000.000)) <br />ln 0,5 * -((4,33* 10^-6) * 20.000.000) = t <br />t = 60,0 Sekunden <br /> <br />Findet ihr den WERT plausibel? Stimmt alles?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>Steffen Bühler</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:49<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Erst alle auf einmal, und dann ist keiner mehr da... <br /> <br /></span><table width="90%" cellspacing="1" cellpadding="3" border="0" align="center"><tr> <td><span class="genmed"><b>Armesding2012 hat Folgendes geschrieben:</b></span></td> </tr> <tr> <td class="quote">ln 0,5 = -1* (t / (20.000 mal 10^-06))</td> </tr></table><span class="postbody"> <br /> <br />Zwei kleine Fehler: Du hattest zu Beginn geschrieben <br /> <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?C = 4,33 \cdot 10^{-6} \quad F"> <br /> <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?R = 20.000.000 \quad \Omega "> <br /> <br />Somit hast Du oben die 4,33 von der Kapazität und die drei Nullen vom Widerstand vergessen. <br /> <br />Viele Grüße <br />Steffen</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:39<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">t = 1,386 mal 10^-3 stimmt das??? welche einheit?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:31<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">0,5 * U_0 = U_0 * e^-(t/R * C) <br />ln 0,5 = -1* (t / (20.000 mal 10^-06)) <br />ln 0,5 * -(20.000 mal 10^-06) = t <br /> <br />stimmts bis dahin?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>physio</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:30<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">formel nach t umgestellt sollte diese hier sein <br /> <br /><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?t = -tau*ln*\frac{u_{c} }{U_{0} } "></span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>physio</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:27<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">sorry hab mich vertan, habs korrigiert</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:26<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"></span><table width="90%" cellspacing="1" cellpadding="3" border="0" align="center"><tr> <td><span class="genmed"><b>physio hat Folgendes geschrieben:</b></span></td> </tr> <tr> <td class="quote">u_{c} = U_{0} (1-e^{\frac{-t}{tau} } ) wäre die richtige formel</td> </tr></table><span class="postbody"> <br /> <br />der Kondensator soll doch ENTladen werden, und nicht aufgeladen..?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>physio</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:24<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"><img class="latex2png" src="https://www.matheboard.de/latex2png/latex2png.php?u_{c} = U_{0} e^{\frac{-t}{tau} } "> <br /> <br />wäre die richtige formel</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:23<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Stimmt das: <br />U(Anfang) = 1 <br />U(t) = 0,5 <br />R = 20.000 Ohm <br />C = 4,33 mal 10^-6 F <br /> <br />Dann nach t auflösen: <br />ln 0,5 = ln 1 - (t / (20.000 mal 10^-06)) <br />??? <br />Wie bekomm ich nun t aufgelöst <img src="images/smiles/frown2.gif" alt="unglücklich" border="0" />..........</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:22<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Naja, du willst die häfte der Anfangsspannung, also U(t) = 0,5 * U_0 <br /> <br />setzt du das in die obige gleichung ein und dividierst durch U_0 faellt es weg</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:17<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">aber für die formel fehlen doch die alle werte... sind doch nur ein paar in der aufgabe gegeben...</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:10<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">von Wikipedia : "Die natürliche Logarithmusfunktion ist die Umkehrfunktion der Exponentialfunktion." <br /> <br /><img src="images/smiles/wink.gif" alt="Augenzwinkern" border="0" /></span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 16:07<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Sry. ich meinte Mikro-Farad nicht Pico. <br />Wie stelle ich die Formel nach t um?? <br />Hat jdn. eine idee?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row2"><span class="name"><a name=""></a><b>lpever55</b></span></td> <td class="row2" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 12:29<span class="gen"> </span> Titel: </span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody">Also ein pico Farad ist 10^-12 Farad <br />10^-6 waere Mikro <br /> <br />und zur berechnung: <br /> <br />versuch es einmal mit der formel: <br /> <br />U(t) = U_0 * e^-(t/Tau) <br /> <br />Tau = R*C</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> <tr> <td width="22%" align="left" valign="top" class="row1"><span class="name"><a name=""></a><b>Armesding2012</b></span></td> <td class="row1" height="28" valign="top"><table width="95%" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="95%"><img src="templates/subSilver/images/icon_minipost.gif" width="12" height="9" alt="Beitrag" title="Beitrag" border="0" /><span class="postdetails">Verfasst am: 13. Dez 2012 12:06<span class="gen"> </span> Titel: Kondensator</span></td> </tr> <tr> <td colspan="2"><hr /></td> </tr> <tr> <td colspan="2"><span class="postbody"><span style="font-weight: bold">Meine Frage:</span><br />Ein Kondensator mit einer Kapazitaet von 4.33 Piko-Farad(1 Piko-Farad = 10^-6 F) wird ueber einen Widerstand von 20.000.000 Omega <br />entladen. In welcher Zeit ist die Spannung auf die <br />Hälfte des Anfangswertes abgesunken?<br /><br /><span style="font-weight: bold">Meine Ideen:</span><br />Ich habe leider keinen Ansatz. Kann mir bitte jdn. helfen?</span></td> </tr> </table></td> </tr> <tr> <td colspan="2" height="1" class="spaceRow"><img src="templates/subSilver/images/spacer.gif" alt="" width="1" height="1" /></td> </tr> </table>
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