– PhysikWiki

General

Display information for equation id:math.1098.2 on revision:1098

* Page found: (eq math.1098.2)

Occurrences on the following pages:

Hash: d561fa83b6d48884dd2dcf3358bd9fdf

TeX (original user input):

\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}\times \overrightarrow{B}=qvB\sin (\sphericalangle (v,B)),\quad \Rightarrow \left( {{F}_{L}}=qvB \right)\Leftrightarrow \overrightarrow{v}\bot \overrightarrow{B}

TeX (checked):

{\overrightarrow {{F}_{L}}}=q{\overrightarrow {v}}\times {\overrightarrow {B}}=qvB\sin(\sphericalangle (v,B)),\quad \Rightarrow \left({{F}_{L}}=qvB\right)\Leftrightarrow {\overrightarrow {v}}\bot {\overrightarrow {B}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (8.187 KB / 1.432 KB) :

{\displaystyle{\displaystyle\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}% \times\overrightarrow{B}=qvB\sin(\sphericalangle(v,B)),\quad\Rightarrow\left({% {F}_{L}}=qvB\right)\Leftrightarrow\overrightarrow{v}\bot\overrightarrow{B}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}%&#10;\times\overrightarrow{B}=qvB\sin(\sphericalangle(v,B)),\quad\Rightarrow\left({%&#10;{F}_{L}}=qvB\right)\Leftrightarrow\overrightarrow{v}\bot\overrightarrow{B}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
        <msub id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">
          <mi id="p1.1.m1.1.1.2.1" xref="p1.1.m1.1.1.2.1.cmml">F</mi>
          <mi id="p1.1.m1.1.1.2.2.1" xref="p1.1.m1.1.1.2.2.1.cmml">L</mi>
        </msub>
        <mo id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">→</mo>
      </mover>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">q</mi>
      <mover accent="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
        <mi id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">v</mi>
        <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">→</mo>
      </mover>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">×</mo>
      <mover accent="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
        <mi id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">B</mi>
        <mo id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">→</mo>
      </mover>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
      <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">q</mi>
      <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">v</mi>
      <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">B</mi>
      <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">sin</mi>
      <mrow id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
        <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">(</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">∢</mi>
        <mrow id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
          <mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">(</mo>
          <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">v</mi>
          <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">,</mo>
          <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">B</mi>
          <mo stretchy="false" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">)</mo>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">)</mo>
      </mrow>
      <mo rspace="12.5pt" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">,</mo>
      <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">⇒</mo>
      <mrow id="p1.1.m1.1.36" xref="p1.1.m1.1.36.cmml">
        <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">(</mo>
        <msub id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">
          <mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">F</mi>
          <mi id="p1.1.m1.1.25.1" xref="p1.1.m1.1.25.1.cmml">L</mi>
        </msub>
        <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">=</mo>
        <mi id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">q</mi>
        <mi id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">v</mi>
        <mi id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">B</mi>
        <mo id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">⇔</mo>
      <mover accent="true" id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">
        <mi id="p1.1.m1.1.32.2" xref="p1.1.m1.1.32.2.cmml">v</mi>
        <mo id="p1.1.m1.1.32.1" xref="p1.1.m1.1.32.1.cmml">→</mo>
      </mover>
      <mo id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">⊥</mo>
      <mover accent="true" id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml">
        <mi id="p1.1.m1.1.34.2" xref="p1.1.m1.1.34.2.cmml">B</mi>
        <mo id="p1.1.m1.1.34.1" xref="p1.1.m1.1.34.1.cmml">→</mo>
      </mover>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
          <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">→</ci>
          <apply id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.1.2.3.cmml" xref="p1.1.m1.1.1.2">subscript</csymbol>
            <ci id="p1.1.m1.1.1.2.1.cmml" xref="p1.1.m1.1.1.2.1">𝐹</ci>
            <ci id="p1.1.m1.1.1.2.2.1.cmml" xref="p1.1.m1.1.1.2.2.1">𝐿</ci>
          </apply>
        </apply>
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <csymbol cd="unknown" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">q</csymbol>
        <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">→</ci>
          <ci id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">𝑣</ci>
        </apply>
        <times id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
          <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">→</ci>
          <ci id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">𝐵</ci>
        </apply>
        <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <csymbol cd="unknown" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">q</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">v</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">B</csymbol>
        <sin id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <cerror id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
          <csymbol cd="ambiguous" id="p1.1.m1.1.25a.cmml" xref="p1.1.m1.1.25">fragments</csymbol>
          <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">(</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">∢</csymbol>
          <cerror id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
            <csymbol cd="ambiguous" id="p1.1.m1.1.21a.cmml" xref="p1.1.m1.1.21">fragments</csymbol>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">(</ci>
            <csymbol cd="unknown" id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">v</csymbol>
            <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">,</ci>
            <csymbol cd="unknown" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">B</csymbol>
            <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">)</ci>
          </cerror>
          <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">)</ci>
        </cerror>
        <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">,</ci>
        <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">⇒</ci>
        <cerror id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">
          <csymbol cd="ambiguous" id="p1.1.m1.1.36a.cmml" xref="p1.1.m1.1.36">fragments</csymbol>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">(</ci>
          <apply id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">
            <csymbol cd="ambiguous" id="p1.1.m1.1.35.1.cmml" xref="p1.1.m1.1.35">subscript</csymbol>
            <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝐹</ci>
            <ci id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25.1">𝐿</ci>
          </apply>
          <eq id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
          <csymbol cd="unknown" id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">q</csymbol>
          <csymbol cd="unknown" id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">v</csymbol>
          <csymbol cd="unknown" id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">B</csymbol>
          <ci id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">)</ci>
        </cerror>
        <ci id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">⇔</ci>
        <apply id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32">
          <ci id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32.1">→</ci>
          <ci id="p1.1.m1.1.32.2.cmml" xref="p1.1.m1.1.32.2">𝑣</ci>
        </apply>
        <csymbol cd="latexml" id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33">bottom</csymbol>
        <apply id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34">
          <ci id="p1.1.m1.1.34.1.cmml" xref="p1.1.m1.1.34.1">→</ci>
          <ci id="p1.1.m1.1.34.2.cmml" xref="p1.1.m1.1.34.2">𝐵</ci>
        </apply>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\overrightarrow{{{F}_{L}}}=q\overrightarrow{v}%
\times\overrightarrow{B}=qvB\sin(\sphericalangle(v,B)),\quad\Rightarrow\left({%
{F}_{L}}=qvB\right)\Leftrightarrow\overrightarrow{v}\bot\overrightarrow{B}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimentell; keine Bilder) rendering

MathML (1.189 KB / 367 B) :

\vec{F_{L}} = q \vec{v} \times \vec{B} = q v B \sin (∢ (v, B)), \Rightarrow (F_{L} = q v B) \Leftrightarrow \vec{v} ⊥ \vec{B}

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mover><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mo>&#x2192;</mo></mover></mrow><mo>=</mo><mi>q</mi><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>&#x2192;</mo></mover></mrow><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>&#x2192;</mo></mover></mrow><mo>=</mo><mi>q</mi><mi>v</mi><mi>B</mi><mi>sin</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>&#x2222;</mi><mo stretchy="false">(</mo><mi>v</mi><mo>,</mo><mi>B</mi><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>,</mo><mspace width="1em"></mspace><mo>&#x21D2;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></msub><mo>=</mo><mi>q</mi><mi>v</mi><mi>B</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x21D4;</mo><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>&#x2192;</mo></mover></mrow><mi mathvariant="normal">&#x22A5;</mi><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>&#x2192;</mo></mover></mrow></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$\vec{F_{L}}$

$q$

$\vec{v}$

$\vec{B}$

$q$

$v$

$B$

$v$

$B$

$F_{L}$

$q$

$v$

$B$

$\vec{v}$

$\vec{B}$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

Suche