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About: Rigidity (electromagnetism)

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It is a measure of the momentum of the particle, and it refers to the fact that a higher momentum particle will have a higher resistance to deflection by a magnetic field. It is defined as R = Bρ = pc/q, where B is the magnetic field, ρ is the gyroradius of the particle due to this field, p is the particle momentum, c is the speed of light and q is its charge. 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class="text-nowrap">An Entity of Type: <a href="javascript:void()">Thing</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span 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 accelerator physics, rigidity is the effect of particular magnetic fields on the motion of the charged particles. It is a measure of the momentum of the particle, and it refers to the fact that a higher momentum particle will have a higher resistance to deflection by a magnetic field. It is defined as R = Bρ = pc/q, where B is the magnetic field, ρ is the gyroradius of the particle due to this field, p is the particle momentum, c is the speed of light and q is its charge. It is frequently referred to as simply &quot;Bρ&quot;.</p> </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="de" >Die magnetische Steifigkeit beschreibt die Eigenschaft eines schnellen geladenen Teilchens, seine Bahn mehr oder weniger gut durch Magnetfelder &#39;biegen&#39; zu lassen. Man erhält sie durch Gleichsetzen von Lorentzkraft und Zentripetalkraft: , wobei * die Stärke des Magnetfeldes * der Krümmungsradius der Teilchenbahn * der Lorentzfaktor * die Geschwindigkeit des Teilchens * seine Masse * die Ladung. Die magnetische Steifigkeit wird zumeist angegeben in Tm (Tesla mal Meter). Wichtig ist dieser Wert bei Teilchenbeschleunigern, insbesondere Synchrotrons und Zyklotrons: Je höher die Energie werden soll, desto größer werden die Geschwindigkeit und der Lorentzfaktor und damit die magnetische Steifigkeit. Da sich die Stärke des Magnetfelds jedoch nicht beliebig steigern lässt, muss stattdessen der Radius der Anlage entsprechend groß gewählt werden. Die stärksten Dipolmagnete heutiger Synchrotrone besitzen eine maximale Feldstärke von 8,6 T (siehe LHC).</span><small> (de)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >In accelerator physics, rigidity is the effect of particular magnetic fields on the motion of the charged particles. It is a measure of the momentum of the particle, and it refers to the fact that a higher momentum particle will have a higher resistance to deflection by a magnetic field. It is defined as R = Bρ = pc/q, where B is the magnetic field, ρ is the gyroradius of the particle due to this field, p is the particle momentum, c is the speed of light and q is its charge. It is frequently referred to as simply &quot;Bρ&quot;. The unit of the rigidity R is volts(N·m/C), a convenient unit is GV (10^9 V). In this case, unit of B is T(N·s/C·m), ρ is in the unit rad/s, p is in the unit kg· m/s, c is in the unit m/s, q is in the unit C. The rigidity is defined by the action of a static magnetic field, whose direction is perpendicular to the velocity vector of the particle. This will cause a force perpendicular both to the velocity vector, and to the field, defining a plane through which the particle moves. The definition of the Lorentz force implies that the particle&#39;s motion will be circular in a uniform field, thus giving a constant radius of curvature. If the particle momentum, p, is given in GeV/c, then the rigidity, in tesla-metres, is Bρ = 3.3356pc/q.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >En physique des accélérateurs, la rigidité magnétique est une grandeur utilisée pour quantifier l&#39;effet d&#39;un champ magnétique sur le mouvement d&#39;une particule chargée. Il s&#39;agit d&#39;une mesure de l&#39;impulsion d&#39;une particule, et réfère au fait qu&#39;une particule avec une grande impulsion sera plus difficilement déviée sous l&#39;action d&#39;un champ magnétique. La rigidité magnétique R est définie comme où B désigne le champ magnétique, ρ le rayon de courbure de la particule du fait de ce champ, p est l&#39;impulsion et q sa charge électrique. La notation « Bρ » est généralement utilisée.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >Nella fisica degli acceleratori, la rigidità magnetica è una misura dell&#39;effetto di un campo magnetico sul moto delle particelle cariche. Essa si riferisce al fatto che una particella con una quantità di moto maggiore avrà una maggiore resistenza alla deflessione da parte di un campo magnetico. La rigidità magnetica è definita come R = Bρ = p/q, dove B è il campo magnetico, ρ è il della particella dovuto a questo campo, p è la quantità di moto della particella e q è la sua carica.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Магнитная жёсткость — физическая величина, определяющая воздействие магнитного поля на движение заряженной частицы. Магнитная жёсткость выражается отношением «энергии» частицы к её электрическому заряду: где * — импульс частицы; * — скорость света в вакууме; * — электрический заряд частицы; Единицы измерения магнитной жёсткости — Тесла-метры (Тл·м) в СИ и статвольты или в СГС.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >A rigidez magnética é o momento por unidade de carga de uma partícula. É uma quantidade de grande importância no campo da física de aceleradores e no estudo dos raios cósmicos.</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Магні́тна жо́рсткість — фізична величина, що визначає вплив магнітного поля на рух зарядженої частинки. Магнітна жорсткість виражається відношенням «енергії» частинки до її електричного заряду: де * — імпульс частинки; * — швидкість світла у вакуумі; * — електричний заряд частинки; Одиниці вимірювання магнітної жорсткості — тесла-метр (Тл·м) в СІ і статвольт або абвольт в СГС.</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageID"><small>dbo:</small>wikiPageID</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageID" datatype="xsd:integer" >22740726</span><small> (xsd:integer)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageLength"><small>dbo:</small>wikiPageLength</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageLength" datatype="xsd:nonNegativeInteger" >1772</span><small> (xsd:nonNegativeInteger)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageRevisionID"><small>dbo:</small>wikiPageRevisionID</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:wikiPageRevisionID" datatype="xsd:integer" >1087568261</span><small> (xsd:integer)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageWikiLink"><small>dbo:</small>wikiPageWikiLink</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Lorentz_force" href="http://dbpedia.org/resource/Lorentz_force"><small>dbr</small>:Lorentz_force</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Accelerator_physics" href="http://dbpedia.org/resource/Accelerator_physics"><small>dbr</small>:Accelerator_physics</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Category:Accelerator_physics" href="http://dbpedia.org/resource/Category:Accelerator_physics"><small>dbc</small>:Accelerator_physics</a></span></li> <li><span class="literal"><a class="uri" rel="dbo:wikiPageWikiLink" resource="http://dbpedia.org/resource/Gyroradius" href="http://dbpedia.org/resource/Gyroradius"><small>dbr</small>:Gyroradius</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate"><small>dbp:</small>wikiPageUsesTemplate</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Reflist" href="http://dbpedia.org/resource/Template:Reflist"><small>dbt</small>:Reflist</a></span></li> <li><span class="literal"><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Accelerator-stub" href="http://dbpedia.org/resource/Template:Accelerator-stub"><small>dbt</small>:Accelerator-stub</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://purl.org/dc/terms/subject"><small>dcterms:</small>subject</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dcterms:subject" resource="http://dbpedia.org/resource/Category:Accelerator_physics" prefix="dcterms: http://purl.org/dc/terms/" href="http://dbpedia.org/resource/Category:Accelerator_physics"><small>dbc</small>:Accelerator_physics</a></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://purl.org/linguistics/gold/hypernym"><small>gold:</small>hypernym</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="gold:hypernym" resource="http://dbpedia.org/resource/Concept" prefix="gold: http://purl.org/linguistics/gold/" href="http://dbpedia.org/resource/Concept"><small>dbr</small>:Concept</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment"><small>rdfs:</small>comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >En physique des accélérateurs, la rigidité magnétique est une grandeur utilisée pour quantifier l&#39;effet d&#39;un champ magnétique sur le mouvement d&#39;une particule chargée. Il s&#39;agit d&#39;une mesure de l&#39;impulsion d&#39;une particule, et réfère au fait qu&#39;une particule avec une grande impulsion sera plus difficilement déviée sous l&#39;action d&#39;un champ magnétique. La rigidité magnétique R est définie comme où B désigne le champ magnétique, ρ le rayon de courbure de la particule du fait de ce champ, p est l&#39;impulsion et q sa charge électrique. La notation « Bρ » est généralement utilisée.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >Nella fisica degli acceleratori, la rigidità magnetica è una misura dell&#39;effetto di un campo magnetico sul moto delle particelle cariche. Essa si riferisce al fatto che una particella con una quantità di moto maggiore avrà una maggiore resistenza alla deflessione da parte di un campo magnetico. La rigidità magnetica è definita come R = Bρ = p/q, dove B è il campo magnetico, ρ è il della particella dovuto a questo campo, p è la quantità di moto della particella e q è la sua carica.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Магнитная жёсткость — физическая величина, определяющая воздействие магнитного поля на движение заряженной частицы. Магнитная жёсткость выражается отношением «энергии» частицы к её электрическому заряду: где * — импульс частицы; * — скорость света в вакууме; * — электрический заряд частицы; Единицы измерения магнитной жёсткости — Тесла-метры (Тл·м) в СИ и статвольты или в СГС.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >A rigidez magnética é o momento por unidade de carga de uma partícula. É uma quantidade de grande importância no campo da física de aceleradores e no estudo dos raios cósmicos.</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Магні́тна жо́рсткість — фізична величина, що визначає вплив магнітного поля на рух зарядженої частинки. Магнітна жорсткість виражається відношенням «енергії» частинки до її електричного заряду: де * — імпульс частинки; * — швидкість світла у вакуумі; * — електричний заряд частинки; Одиниці вимірювання магнітної жорсткості — тесла-метр (Тл·м) в СІ і статвольт або абвольт в СГС.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Die magnetische Steifigkeit beschreibt die Eigenschaft eines schnellen geladenen Teilchens, seine Bahn mehr oder weniger gut durch Magnetfelder &#39;biegen&#39; zu lassen. Man erhält sie durch Gleichsetzen von Lorentzkraft und Zentripetalkraft: , wobei * die Stärke des Magnetfeldes * der Krümmungsradius der Teilchenbahn * der Lorentzfaktor * die Geschwindigkeit des Teilchens * seine Masse * die Ladung. Die magnetische Steifigkeit wird zumeist angegeben in Tm (Tesla mal Meter).</span><small> (de)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >In accelerator physics, rigidity is the effect of particular magnetic fields on the motion of the charged particles. It is a measure of the momentum of the particle, and it refers to the fact that a higher momentum particle will have a higher resistance to deflection by a magnetic field. It is defined as R = Bρ = pc/q, where B is the magnetic field, ρ is the gyroradius of the particle due to this field, p is the particle momentum, c is the speed of light and q is its charge. It is frequently referred to as simply &quot;Bρ&quot;.</span><small> (en)</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="de" >Magnetische Steifigkeit</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Rigidité magnétique</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Rigidità magnetica</span><small> (it)</small></span></li> <li><span class="literal"><span property="rdfs:label" lang="en" >Rigidity (electromagnetism)</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Rigidez magnética</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Магнитная жёсткость</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Магнітна жорсткість</span><small> (uk)</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.05zs0pc" href="http://rdf.freebase.com/ns/m.05zs0pc"><small>freebase</small>:Rigidity (electromagnetism)</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://www.wikidata.org/entity/Q185256" href="http://www.wikidata.org/entity/Q185256"><small>wikidata</small>:Rigidity (electromagnetism)</a></span></li> <li><span class="literal"><a class="uri" rel="owl:sameAs" 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