Lösning 4.4:1 - Versionshistorik

Lösning 4.4:1 - Versionshistorik http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&action=history Versionshistorik för denna sida på wikin sv MediaWiki 1.11.1 Tue, 07 Apr 2026 17:57:02 GMT Louwah den 19 mars 2018 kl. 15.20 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2944&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 19 mars 2018 kl. 15.20</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>U=230 V</math>, <math>P=<del style="color: red; font-weight: bold; text-decoration: none;">50W</del></math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>U=230 <ins style="color: red; font-weight: bold; text-decoration: none;">\,\mathrm{</ins>V<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins></math>, <math>P=<ins style="color: red; font-weight: bold; text-decoration: none;">50 \,\mathrm{W}</ins></math>, <math>R=140<ins style="color: red; font-weight: bold; text-decoration: none;">\,</ins>\Omega</math> <math><ins style="color: red; font-weight: bold; text-decoration: none;">\,\,</ins>Z=\sqrt{(R^2+\omega ^2 L^2)}</math><br\></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>\omega =314 <ins style="color: red; font-weight: bold; text-decoration: none;">\,\mathrm{</ins>rad/s<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins></math> <math>(2\pi \cdot 50 = 314)</math><br\></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi<ins style="color: red; font-weight: bold; text-decoration: none;">,</ins></math> <math><ins style="color: red; font-weight: bold; text-decoration: none;">\,\,</ins>I=U/Z</math> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>och <math>\cos\phi <del style="color: red; font-weight: bold; text-decoration: none;">= R\cdot I/Z\cdot I </del>= R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>och <ins style="color: red; font-weight: bold; text-decoration: none;">(se bilden i exempel 2 i teorin) </ins><math>\cos\phi = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 /(140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 /(140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 <ins style="color: red; font-weight: bold; text-decoration: none;">\,\mathrm{</ins>H<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins></math><br\></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,<del style="color: red; font-weight: bold; text-decoration: none;">60A</del></math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>Z=384<ins style="color: red; font-weight: bold; text-decoration: none;">\,</ins>\Omega</math><ins style="color: red; font-weight: bold; text-decoration: none;">, </ins> <math><ins style="color: red; font-weight: bold; text-decoration: none;">\,\,</ins>I=U/Z</math><ins style="color: red; font-weight: bold; text-decoration: none;">, </ins> <math><ins style="color: red; font-weight: bold; text-decoration: none;">\,\,</ins>I=230/384=0,<ins style="color: red; font-weight: bold; text-decoration: none;">60 \,\mathrm{A}</ins></math></div></td></tr> </table> Mon, 19 Mar 2018 15:20:17 GMT Louwah http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1 Lena Chytraeus den 26 januari 2010 kl. 10.49 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2273&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 26 januari 2010 kl. 10.49</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 6:</td> <td colspan="2" class="diff-lineno">Rad 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 <del style="color: red; font-weight: bold; text-decoration: none;">= </del>(140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 <ins style="color: red; font-weight: bold; text-decoration: none;">/</ins>(140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math><br\></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td></tr> </table> Tue, 26 Jan 2010 10:49:27 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1 Lena Chytraeus den 26 januari 2010 kl. 10.47 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2272&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 26 januari 2010 kl. 10.47</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 6:</td> <td colspan="2" class="diff-lineno">Rad 6:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 = (140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math> <del style="color: red; font-weight: bold; text-decoration: none;"> </del><math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 = (140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math><ins style="color: red; font-weight: bold; text-decoration: none;"><br\></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td></tr> </table> Tue, 26 Jan 2010 10:47:57 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1 Lena Chytraeus den 26 januari 2010 kl. 10.47 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2271&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 26 januari 2010 kl. 10.47</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><math>U=230 V</math>, <math>P=50W</math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math> <del style="color: red; font-weight: bold; text-decoration: none;"> </del><math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>U=230 V</math>, <math>P=50W</math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math><ins style="color: red; font-weight: bold; text-decoration: none;"><br\></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U^2\cdot R/Z^2</math><br\> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 = (140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math> <math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>50 = 230^2\cdot 140 = (140^2+314^2L^2)</math> <math>\Rightarrow L=1,14 H</math> <math>Z=384\Omega</math> <math>I=U/Z</math> <math>I=230/384=0,60A</math></div></td></tr> </table> Tue, 26 Jan 2010 10:47:07 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1 Lena Chytraeus den 22 januari 2010 kl. 14.29 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2204&oldid=prev <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 22 januari 2010 kl. 14.29</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 3:</td> <td colspan="2" class="diff-lineno">Rad 3:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>och \cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=<del style="color: red; font-weight: bold; text-decoration: none;">U2ÁR=Z2 </del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>och <ins style="color: red; font-weight: bold; text-decoration: none;"><math></ins>\cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=<ins style="color: red; font-weight: bold; text-decoration: none;">U^2\cdot R/Z^2</math><br\> </ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>50=<del style="color: red; font-weight: bold; text-decoration: none;">2302Á140</del>=(<del style="color: red; font-weight: bold; text-decoration: none;">1402</del>+<del style="color: red; font-weight: bold; text-decoration: none;">3142L2)=</del>)L=1<del style="color: red; font-weight: bold; text-decoration: none;">;14HZ</del>=<del style="color: red; font-weight: bold; text-decoration: none;">384ÊI</del>=U<del style="color: red; font-weight: bold; text-decoration: none;">=ZI</del>=230<del style="color: red; font-weight: bold; text-decoration: none;">=</del>384=0<del style="color: red; font-weight: bold; text-decoration: none;">;</del>60A</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"><math></ins>50 = <ins style="color: red; font-weight: bold; text-decoration: none;">230^2\cdot 140 </ins>= (<ins style="color: red; font-weight: bold; text-decoration: none;">140^2</ins>+<ins style="color: red; font-weight: bold; text-decoration: none;">314^2L^2</ins>)<ins style="color: red; font-weight: bold; text-decoration: none;"></math> <math>\Rightarrow </ins>L=1<ins style="color: red; font-weight: bold; text-decoration: none;">,14 H</math> <math>Z</ins>=<ins style="color: red; font-weight: bold; text-decoration: none;">384\Omega</math> <math>I</ins>=U<ins style="color: red; font-weight: bold; text-decoration: none;">/Z</math> <math>I</ins>=230<ins style="color: red; font-weight: bold; text-decoration: none;">/</ins>384=0<ins style="color: red; font-weight: bold; text-decoration: none;">,</ins>60A<ins style="color: red; font-weight: bold; text-decoration: none;"></math></ins></div></td></tr> </table> Fri, 22 Jan 2010 14:29:18 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1 Lena Chytraeus: Ny sida: <math>U=230 V</math>, <math>P=50W</math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math> <math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\> <m... http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:1&diff=2203&oldid=prev <p>Ny sida: <math>U=230 V</math>, <math>P=50W</math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math> <math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\> <m...</p> <p><b>Ny sida</b></p><div><math>U=230 V</math>, <math>P=50W</math>, <math>R=140\Omega</math> <math>Z=\sqrt{(R^2+\omega ^2 L^2)}</math> <math>\omega =314 rad/s</math> <math>(2\pi \cdot 50 = 314)</math><br\><br /> <br /> <math>P=U\cdot I\cdot \cos\phi</math> <math>I=U/Z</math> <br /> <br /> och \cos\phi = R\cdot I/Z\cdot I = R/Z \Rightarrow P=U2ÁR=Z2 <br /> 50=2302Á140=(1402+3142L2)=)L=1;14HZ=384ÊI=U=ZI=230=384=0;60A</div> Fri, 22 Jan 2010 13:52:04 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:1