Lösning 4.4:4 - Versionshistorik

Lösning 4.4:4 - Versionshistorik http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&action=history Versionshistorik för denna sida på wikin sv MediaWiki 1.11.1 Tue, 07 Apr 2026 19:42:40 GMT Louwah den 19 mars 2018 kl. 15.34 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&diff=2950&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. 15.34</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: #eee; color:black; font-size: smaller;"><div><math>U=230 \,\mathrm{V}</math>, <math>P=180 \,\mathrm{W}</math>, <math>R=90\,\Omega</math>, <math>\omega = 314 \,\mathrm{rad/s}</math> <math>(2\pi \cdot 50)</math><br\></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>U=230 \,\mathrm{V}</math>, <math>P=180 \,\mathrm{W}</math>, <math>R=90\,\Omega</math>, <math>\omega = 314 \,\mathrm{rad/s}</math> <math>(2\pi \cdot 50)</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>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=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: #cfc; color:black; font-size: smaller;"><div>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math><ins style="color: red; font-weight: bold; text-decoration: none;">\</ins>cos\phi =U_R/U_Z=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;"><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>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 \,\mathrm{H}</math> och <math>Z=163\,\Omega</math><br\></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 \,\mathrm{H}</math> och <math>Z=163\,\Omega</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>I=U/Z</math> <math>\Rightarrow I=1,41 \,\mathrm{A}</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>I=U/Z</math> <math>\Rightarrow I=1,41 \,\mathrm{A}</math></div></td></tr> </table> Mon, 19 Mar 2018 15:34:36 GMT Louwah http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:4 Louwah den 19 mars 2018 kl. 15.28 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&diff=2949&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. 15.28</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=<del style="color: red; font-weight: bold; text-decoration: none;">230V</del></math>, <math>P=<del style="color: red; font-weight: bold; text-decoration: none;">180W</del></math>, <math>R=90\Omega</math>, <math>\omega = <del style="color: red; font-weight: bold; text-decoration: none;">314rad</del>/s</math> <math>(2\pi \cdot 50)</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>U=<ins style="color: red; font-weight: bold; text-decoration: none;">230 \,\mathrm{V}</ins></math>, <math>P=<ins style="color: red; font-weight: bold; text-decoration: none;">180 \,\mathrm{W}</ins></math>, <math>R=90<ins style="color: red; font-weight: bold; text-decoration: none;">\,</ins>\Omega</math>, <math>\omega = <ins style="color: red; font-weight: bold; text-decoration: none;">314 \,\mathrm{rad</ins>/s<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins></math> <math>(2\pi \cdot 50)</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>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=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>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=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;"><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>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 H</math> och <math>Z=163\Omega</math><br\></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 <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> och <math>Z=163<ins style="color: red; font-weight: bold; text-decoration: none;">\,</ins>\Omega</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>I=U/Z</math> <math>\Rightarrow I=1,41 A</math></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><math>I=U/Z</math> <math>\Rightarrow I=1,41 <ins style="color: red; font-weight: bold; text-decoration: none;">\,\mathrm{</ins>A<ins style="color: red; font-weight: bold; text-decoration: none;">}</ins></math></div></td></tr> </table> Mon, 19 Mar 2018 15:28:50 GMT Louwah http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:4 Lena Chytraeus den 26 januari 2010 kl. 11.50 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&diff=2279&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. 11.50</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: #eee; color:black; font-size: smaller;"><div><math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</math><br\></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</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>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=R\cdot I/Z \cdot I=R/Z \Rightarrow P=U^2\cdot R/Z^2</math> </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Effekten är <math>P=U\cdot I\cos\phi</math> och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=R\cdot I/Z \cdot I=R/Z \Rightarrow P=U^2\cdot R/Z^2</math><ins style="color: red; font-weight: bold; text-decoration: none;"><br\></ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 H</math> och <math>Z=163\Omega</math> </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;"> </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>och <math>Z=(R^2+\omega ^2L^2)^{0,5} \Rightarrow 180=230^2\cdot 90/(90^2+314^2L^2) \Rightarrow L=0,431 H</math> och <math>Z=163\Omega</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><ins style="color: red; font-weight: bold; text-decoration: none;"> </ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>I=U/Z</math> <math>\Rightarrow I=1,41 A</math></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>I=U/Z</math> <math>\Rightarrow I=1,41 A</math></div></td></tr> </table> Tue, 26 Jan 2010 11:50:54 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:4 Lena Chytraeus den 22 januari 2010 kl. 15.29 http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&diff=2221&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. 15.29</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: #eee; color:black; font-size: smaller;"><div><math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</math><br\></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div><math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</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>Effekten är P=U\cdot I\cos\phi och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=R\cdot I/Z \cdot I=R/Z \Rightarrow P=U^2\cdot R/Z^2</math> </div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Effekten är <ins style="color: red; font-weight: bold; text-decoration: none;"><math></ins>P=U\cdot I\cos\phi<ins style="color: red; font-weight: bold; text-decoration: none;"></math> </ins>och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=R\cdot I/Z \cdot I=R/Z \Rightarrow P=U^2\cdot R/Z^2</math> </div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>och Z=(<del style="color: red; font-weight: bold; text-decoration: none;">R2</del>+<del style="color: red; font-weight: bold; text-decoration: none;">!2L2</del>)0<del style="color: red; font-weight: bold; text-decoration: none;">;</del>5<del style="color: red; font-weight: bold; text-decoration: none;">=)</del>180=<del style="color: red; font-weight: bold; text-decoration: none;">2302Á90=</del>(<del style="color: red; font-weight: bold; text-decoration: none;">902</del>+<del style="color: red; font-weight: bold; text-decoration: none;">3142L2)=</del>)L=0<del style="color: red; font-weight: bold; text-decoration: none;">;431H </del>och Z=<del style="color: red; font-weight: bold; text-decoration: none;">163Ê </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>Z=(<ins style="color: red; font-weight: bold; text-decoration: none;">R^2</ins>+<ins style="color: red; font-weight: bold; text-decoration: none;">\omega ^2L^2</ins>)<ins style="color: red; font-weight: bold; text-decoration: none;">^{</ins>0<ins style="color: red; font-weight: bold; text-decoration: none;">,</ins>5<ins style="color: red; font-weight: bold; text-decoration: none;">} \Rightarrow </ins>180=<ins style="color: red; font-weight: bold; text-decoration: none;">230^2\cdot 90/</ins>(<ins style="color: red; font-weight: bold; text-decoration: none;">90^2</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;">\Rightarrow </ins>L=0<ins style="color: red; font-weight: bold; text-decoration: none;">,431 H</math> </ins>och <ins style="color: red; font-weight: bold; text-decoration: none;"><math></ins>Z=<ins style="color: red; font-weight: bold; text-decoration: none;">163\Omega</math> </ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>I=U<del style="color: red; font-weight: bold; text-decoration: none;">=</del>Z <del style="color: red; font-weight: bold; text-decoration: none;"> =)</del>I=1<del style="color: red; font-weight: bold; text-decoration: none;">;41A</del></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>I=U<ins style="color: red; font-weight: bold; text-decoration: none;">/</ins>Z<ins style="color: red; font-weight: bold; text-decoration: none;"></math> <math>\Rightarrow </ins>I=1<ins style="color: red; font-weight: bold; text-decoration: none;">,41 A</math></ins></div></td></tr> </table> Fri, 22 Jan 2010 15:29:46 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:4 Lena Chytraeus: Ny sida: <math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</math><br\> Effekten är P=U\cdot I\cos\phi och <math>I=U/Z</ma... http://wiki.math.se/wikis/forberedandefysik/index.php?title=L%C3%B6sning_4.4:4&diff=2220&oldid=prev <p>Ny sida: <math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</math><br\> Effekten är P=U\cdot I\cos\phi och <math>I=U/Z</ma...</p> <p><b>Ny sida</b></p><div><math>U=230V</math>, <math>P=180W</math>, <math>R=90\Omega</math>, <math>\omega = 314rad/s</math> <math>(2\pi \cdot 50)</math><br\><br /> <br /> Effekten är P=U\cdot I\cos\phi och <math>I=U/Z</math> och <math>cos\phi =U_R/U_Z=R\cdot I/Z \cdot I=R/Z \Rightarrow P=U^2\cdot R/Z^2</math> <br /> och Z=(R2+!2L2)0;5=)180=2302Á90=(902+3142L2)=)L=0;431H och Z=163Ê <br /> I=U=Z =)I=1;41A</div> Fri, 22 Jan 2010 15:26:47 GMT Lena Chytraeus http://wiki.math.se/wikis/forberedandefysik/index.php/Diskussion:L%C3%B6sning_4.4:4