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About: Ampère's force law
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class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In magnetostatics, the force of attraction or repulsion between two current-carrying wires (see first figure below) is often called Ampère's force law. The physical origin of this force is that each wire generates a magnetic field, following the Biot–Savart law, and the other wire experiences a magnetic force as a consequence, following the Lorentz force law.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/MagneticWireAttraction.svg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="cs" >Jako Ampérův silový zákon (někdy psáno jako Ampèrův; správnější ale neužívaný název je Ampérův zákon magnetické síly) je označován Ampèrem objevený zákon vzájemného silového působení dvou lineárních vodičů protékaných elektrickým proudem, kterým položil základy elektrodynamiky, případně vztah pro magnetickou sílu působící na proudovodič v obecném magnetickém poli. Zákon lze odvodit na základě speciální teorie relativity ze vztahů pro elektrostatické působení. V době svého objevu však představoval samostatný nezávislý zákon. Ampérův silový zákon je přímo využit k definici veličiny magnetická indukce a jednotek soustavy SI ampér a tesla. Silové působení magnetického pole popsané Ampérovým silovým zákonem se využívá k měření velikosti elektrického proudu.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Nach dem Biot-Savart-Gesetz existiert um einen stromdurchflossenen Leiter ein Magnetfeld und auf einen zweiten stromdurchflossenen Leiter bewirkt dies eine Lorentzkraft, also üben zwei stromdurchflossene Leiter eine Kraft aufeinander aus. Diese Beziehung wird in der Literatur auch als ampèresches Kraftgesetz bezeichnet – nicht zu verwechseln mit dem ampèreschen Gesetz (welches auch Durchflutungsgesetz genannt wird).</span><small> (de)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In magnetostatics, the force of attraction or repulsion between two current-carrying wires (see first figure below) is often called Ampère's force law. The physical origin of this force is that each wire generates a magnetic field, following the Biot–Savart law, and the other wire experiences a magnetic force as a consequence, following the Lorentz force law.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eo" >La forto de altiro aŭ dispuŝo inter du konduktiloj kun elektra kurento estas ofte nomata la forto de Ampère. La kaŭzo de ĉi tiu forto estas, ke ĉiu konduktilo kun kurento generas magnetan kampon laŭ la leĝo de Biot-Savart, kaj pro tio je la alia konduktilo efikas la lorenca forto. La leĝo de forto de Ampère estas formulo, kiu donas valoron de la forto. La plej simpla okazo de leĝo de forto de Ampère estas sekva: por du maldikaj rektaj senmovaj paralelaj konduktiloj, la forto por unuobla longo de unu konduktilo fare de la tuta alia konduktilo en vakuo estas kie km estas la magneta forta konstanto, r estas distanco inter la konduktiloj,I1, I2 estas la kurentoj inter la konduktilo,kiel vakuo estas komprenata la neatingebla vakuo de libera spaco uzata kiel referenca stato en elektromagneta teorio. La valoro de km dependas de la sistemo de unuoj elektita. En la SI-a sistemo, kie μ0 estas la magneta konstanto, precize difinita kiel N A−2. kaj ĉi tio donas la difinon de la ampero, la SI-a unuo de elektra kurento. Tiel, ampero estas tia kurento ke, por du paralelaj konduktiloj kun kurento de 1 ampero en ĉiu, situantaj je 1 metro aparte unu de la alia en vakuo, la forto sur ĉiu parto de longo 1-metra de ĉiu konduktilo, pro la tuta alia konduktilo, estas precize 2×10−7 N. Tiel en la SI-a sistemo la leĝo havas formon: ( Fm mezurata en N/m). Pli ĝenerala formulo de leĝo de forto de Ampère por ajnaj geometriaj formoj de la konduktiloj enhavas liniajn integralojn kaj estas kie F1-2 estas la tuteca forto sur cirkvito 2 pro cirkvito 1 (mezurata en neŭtonoj en SI);I1 kaj I2 estas la kurentoj en cirkvitoj 1 kaj 2 respektive (mezurataj en amperoj en SI);la duopa linia integralado sumigas la forton sur ĉiu ero de cirkvito 2 pro ĉiu ero de cirkvito 1;ds1 kaj ds2 estas infinitezimaj vektoraj eroj de la vojoj C1 kaj C2, respektive, kun la sama direkto kiel la kurento (mezuratajs en metroj en SI);la vektoro estas unuobla vektoro laŭ la rekto konektanta la erojn de s1 al s2, kaj r12 estas la distanco inter ĉi tiuj eroj;la signo × estas por vektora produto.</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >En magnétostatique, la force d'attraction ou de répulsion entre deux fils conducteurs parcourus par un courant électrique (voir figure) est souvent appelé la force d'Ampère. L'origine physique de cette force vient de ce que chaque fil génère un champ magnétique, suivant la loi d'Ørsted (loi de Biot et Savart), et l'autre fil subit en conséquence une force magnétique, suivant la force de Lorentz.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Prawo Grassmanna – wzór pozwalający obliczyć siłę, z jaką jeden przewodnik z prądem w próżni oddziałuje na drugi. gdzie: – elementarna siła, – przenikalność magnetyczna próżni, – prądy płynące w obu przewodnikach, – różniczkowe elementy długości obu przewodów, – promień wodzący o początku w określonym punkcie pierwszego przewodnika i końcu w rozważanym punkcie drugiego przewodnika, – symbol działania iloczynu wektorowego. Ma on znaczenie tylko formalne. Wynika z siły Lorentza i prawa Biota-Savarta. Wtedy:</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Зако́н Ампе́ра — закон взаимодействия электрических токов. Впервые был установлен Андре Мари Ампером в 1820 году для постоянного тока. Из закона Ампера следует, что параллельные проводники с электрическими токами, текущими в одном направлении, притягиваются, а в противоположных — отталкиваются. Законом Ампера называется также закон, определяющий силу, с которой магнитное поле действует на малый отрезок проводника с током. Сила оказывается линейно зависимой как от тока, так и от магнитной индукции .Выражение для силы , с которой магнитное поле действует на элемент объёма проводника с током плотности , находящегося в магнитном поле с индукцией , в Международной системе единиц (СИ) имеет вид: Если ток течёт по тонкому проводнику, то , где — «элемент длины» проводника — вектор, по модулю равный и совпадающий по направлению с током. Тогда выражение для силы переписывается как .</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >在靜磁學裏，安培力定律專門描述兩條載流導線相互作用的吸引力或排斥力，又稱為安培力，是由載流導線的電流所產生的磁場（根據必歐-沙伐定律），與對方的移動電荷的速度耦合而形成的勞侖茲力。安培力定律是因安德烈-馬里·安培而命名。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Закон Ампера — закон взаємодії постійних струмів, котрий установив Андре-Марі Ампер 1820 року. Із закону Ампера виходить, що паралельні провідники з постійними струмами, які течуть в одному напрямі, притягуються, а в протилежному — відштовхуються. Законом Ампера називають також закон, що визначає силу, з якою магнітне поле діє на невеликий відрізок провідника зі струмом. Сила Ампера — це сила, з якою магнітне поле діє на провідник зі струмом. Сила Ампера залежить від сили струму , елемента (частини) довжини провідника , кута між напрямом струму і напрямком ліній магнітного поля та магнітної індукції , і задається формулою У векторній формі силу Ампера записують так: .</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/MagneticWireAttraction.svg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/MagneticWireAttraction.svg?width=300"><small>wiki-commons</small>:Special:FilePath/MagneticWireAttraction.svg?width=300</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink"><small>dbo:</small>wikiPageExternalLink</a> </td><td class="col-10 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text-break"><ul> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/WikicatConceptsInPhysics" href="http://dbpedia.org/class/yago/WikicatConceptsInPhysics"><small>yago</small>:WikicatConceptsInPhysics</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Abstraction100002137" href="http://dbpedia.org/class/yago/Abstraction100002137"><small>yago</small>:Abstraction100002137</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Cognition100023271" href="http://dbpedia.org/class/yago/Cognition100023271"><small>yago</small>:Cognition100023271</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Concept105835747" href="http://dbpedia.org/class/yago/Concept105835747"><small>yago</small>:Concept105835747</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" 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Magnetfeld und auf einen zweiten stromdurchflossenen Leiter bewirkt dies eine Lorentzkraft, also üben zwei stromdurchflossene Leiter eine Kraft aufeinander aus. Diese Beziehung wird in der Literatur auch als ampèresches Kraftgesetz bezeichnet – nicht zu verwechseln mit dem ampèreschen Gesetz (welches auch Durchflutungsgesetz genannt wird).</span><small> (de)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In magnetostatics, the force of attraction or repulsion between two current-carrying wires (see first figure below) is often called Ampère's force law. The physical origin of this force is that each wire generates a magnetic field, following the Biot–Savart law, and the other wire experiences a magnetic force as a consequence, following the Lorentz force law.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >En magnétostatique, la force d'attraction ou de répulsion entre deux fils conducteurs parcourus par un courant électrique (voir figure) est souvent appelé la force d'Ampère. L'origine physique de cette force vient de ce que chaque fil génère un champ magnétique, suivant la loi d'Ørsted (loi de Biot et Savart), et l'autre fil subit en conséquence une force magnétique, suivant la force de Lorentz.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Prawo Grassmanna – wzór pozwalający obliczyć siłę, z jaką jeden przewodnik z prądem w próżni oddziałuje na drugi. gdzie: – elementarna siła, – przenikalność magnetyczna próżni, – prądy płynące w obu przewodnikach, – różniczkowe elementy długości obu przewodów, – promień wodzący o początku w określonym punkcie pierwszego przewodnika i końcu w rozważanym punkcie drugiego przewodnika, – symbol działania iloczynu wektorowego. Ma on znaczenie tylko formalne. Wynika z siły Lorentza i prawa Biota-Savarta. Wtedy:</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >在靜磁學裏，安培力定律專門描述兩條載流導線相互作用的吸引力或排斥力，又稱為安培力，是由載流導線的電流所產生的磁場（根據必歐-沙伐定律），與對方的移動電荷的速度耦合而形成的勞侖茲力。安培力定律是因安德烈-馬里·安培而命名。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="cs" >Jako Ampérův silový zákon (někdy psáno jako Ampèrův; správnější ale neužívaný název je Ampérův zákon magnetické síly) je označován Ampèrem objevený zákon vzájemného silového působení dvou lineárních vodičů protékaných elektrickým proudem, kterým položil základy elektrodynamiky, případně vztah pro magnetickou sílu působící na proudovodič v obecném magnetickém poli. Zákon lze odvodit na základě speciální teorie relativity ze vztahů pro elektrostatické působení. V době svého objevu však představoval samostatný nezávislý zákon.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eo" >La forto de altiro aŭ dispuŝo inter du konduktiloj kun elektra kurento estas ofte nomata la forto de Ampère. La kaŭzo de ĉi tiu forto estas, ke ĉiu konduktilo kun kurento generas magnetan kampon laŭ la leĝo de Biot-Savart, kaj pro tio je la alia konduktilo efikas la lorenca forto. La leĝo de forto de Ampère estas formulo, kiu donas valoron de la forto. La plej simpla okazo de leĝo de forto de Ampère estas sekva: por du maldikaj rektaj senmovaj paralelaj konduktiloj, la forto por unuobla longo de unu konduktilo fare de la tuta alia konduktilo en vakuo estas N A−2. ( Fm mezurata en N/m). kie</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Зако́н Ампе́ра — закон взаимодействия электрических токов. Впервые был установлен Андре Мари Ампером в 1820 году для постоянного тока. Из закона Ампера следует, что параллельные проводники с электрическими токами, текущими в одном направлении, притягиваются, а в противоположных — отталкиваются. Законом Ампера называется также закон, определяющий силу, с которой магнитное поле действует на малый отрезок проводника с током. Сила оказывается линейно зависимой как от тока, так и от магнитной индукции .Выражение для силы , с которой магнитное поле действует на элемент объёма проводника с током плотности , находящегося в магнитном поле с индукцией , в Международной системе единиц (СИ) имеет вид:</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Закон Ампера — закон взаємодії постійних струмів, котрий установив Андре-Марі Ампер 1820 року. Із закону Ампера виходить, що паралельні провідники з постійними струмами, які течуть в одному напрямі, притягуються, а в протилежному — відштовхуються. Законом Ампера називають також закон, що визначає силу, з якою магнітне поле діє на невеликий відрізок провідника зі струмом. Сила Ампера — це сила, з якою магнітне поле діє на провідник зі струмом. У векторній формі силу Ампера записують так: .</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="cs" >Ampérův silový zákon</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Ampèresches Kraftgesetz</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eo" >Ampera forta leĝo</span><small> (eo)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Ampère's force law</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Force d'Ampère</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Prawo Grassmanna (elektromagnetyzm)</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Закон Ампера</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Закон Ампера</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >安培力定律</span><small> (zh)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs"><small>owl:</small>sameAs</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.03qcz71" href="http://rdf.freebase.com/ns/m.03qcz71"><small>freebase</small>:Ampère's force law</a></span></li> <li><span class="literal"><a class="uri" 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