Maxwell's equations

set of partial differential equations that describe how electric and magnetic fields are generated and altered by each other and by charges and currents
rdfs:label
"Maxwell's equations"@en
skos:altLabel
"Maxwell equations"@en
"Maxwell's laws"@en
schema:description
"set of partial differential equations that describe how electric and magnetic fields are generated and altered by each other and by charges and currents"@en
schema:dateModified "2026-08-17T22:48:33+00:00"^^xsd:dateTime
schema:version 2532537730
wikibase:identifiers 44
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wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">&#x22C5;</mo><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow></mtd><mtd><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo>,</mo></mtd></mtr><mtr><mtd><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">&#x22C5;</mo><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow></mtd><mtd><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo></mtd></mtr><mtr><mtd><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow></mtd><mtd><mo stretchy="false">=</mo><mo stretchy="false">&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo>,</mo></mtd></mtr><mtr><mtd><mi mathvariant="normal">&#x2207;</mi><mo stretchy="false">&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow></mtd><mtd><mo stretchy="false">=</mo><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝐉</mi></mrow><mo stretchy="false">+</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">[</mo><mi>&#x03B1;</mi></mrow></mrow></msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi><mi>&#x03B3;</mi><mo stretchy="false">]</mo></mrow></mrow></msub></mtd><mtd><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo></mtd></mtr><mtr><mtd><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi><mi>&#x03B2;</mi></mrow></mrow></msup></mtd><mtd><mo stretchy="false">=</mo><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>J</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
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"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03C1;</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
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"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>E</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
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Inverse relations

[ .. ] → wdt:P301 → Maxwell's equations

[ .. ] → wdt:P101 → Maxwell's equations

[ .. ] → wdt:P361 → Maxwell's equations

[ .. ] → wdt:P2283 → Maxwell's equations

[ .. ] → wdt:P1269 → Maxwell's equations

[ .. ] → wdt:P1889 → Maxwell's equations

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