Source / pinned edition
Maxwell’s Equations and Electromagnetic Waves
Source of package openstax.electrodynamics · OpenStax University Physics, ch. 16 Electromagnetic Waves, module m58496
- work
- urn:openstax:clir:electrodynamics#M58496
- number
- OpenStax University Physics, ch. 16 Electromagnetic Waves, module m58496
- kind
- urn:openstax:clir:electrodynamics#treatise
m58496/index.cnxml at commit d0ed34a (main, 2026-06-11)
- edition
- urn:openstax:clir:electrodynamics#M58496_MAIN
- language
- en
- officiality
- official
- materialisation
- PINNED_OFFICIAL_BYTES
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- adopted: 2026-06-11
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58496/index.cnxml | application/xml; charset=utf-8 | sha256:a892840e2d1a185863027df97e70dbd074ded9e72e6861361711cd32353c6ad6 | 2026-09-06T00:00:00Z |
Fragments — 3
module/m58496#fs-id1171240253588 · defn · referenced by: 1
en · official · sha256:77d7aee3a71019298421b6f33b30603294c68f504caef8da95938078aa6f8d1a
<definition id="fs-id1171240253588">
<term>displacement current</term>
<meaning id="fs-id1171240251462">extra term in Maxwell’s equations that is analogous to a real current but accounts for a changing electric field producing a magnetic field, even when the real current is present</meaning>
</definition>Referencing norms: ampere_maxwell_checked
module/m58496#fs-id1171240251470 · defn · referenced by: 4
en · official · sha256:21de7ea22259163cfbbd9070ff86024772934b7c23d62450f0a6840935a31f50
<definition id="fs-id1171240251470">
<term>Maxwell’s equations</term>
<meaning id="fs-id1171240251476">set of four equations that comprise a complete, overarching theory of electromagnetism</meaning>
</definition>Referencing norms: AllFourMaxwellEquationsHold, NoMagneticMonopoles, NonzeroMagneticFluxWouldBeAMonopole, magnetic_flux_through
module/m58496#fs-id1171240036551 · section
en · official · sha256:0a12fe95346e29c22c73886ad63c1f661d64dea74beaf3b71e096dc85240f700
<note id="fs-id1171240036551" class="equation-callout">
<equation id="fs-id1171242557152"><label/><m:math><m:mrow><m:mstyle displaystyle="true"><m:mrow><m:mo>∮</m:mo><m:mrow><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>E</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle><m:mo>·</m:mo><m:mi>d</m:mi><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>A</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle></m:mrow></m:mrow></m:mstyle><m:mo>=</m:mo><m:mfrac><m:mrow><m:msub><m:mi>Q</m:mi><m:mrow><m:mtext>in</m:mtext></m:mrow></m:msub></m:mrow><m:mrow><m:msub><m:mi>ε</m:mi><m:mn>0</m:mn></m:msub></m:mrow></m:mfrac><m:mspace width="3em"/><m:mo>(</m:mo><m:mtext>Gauss’s law</m:mtext><m:mo>)</m:mo></m:mrow></m:math></equation>
<equation id="fs-id1171242254942"><label/><m:math><m:mrow><m:mstyle displaystyle="true"><m:mrow><m:mo>∮</m:mo><m:mrow><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>B</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle><m:mo>·</m:mo><m:mi>d</m:mi><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>A</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle></m:mrow></m:mrow></m:mstyle><m:mo>=</m:mo><m:mn>0</m:mn><m:mspace width="3em"/><m:mo>(</m:mo><m:mtext>Gauss’s law for magnetism</m:mtext><m:mo>)</m:mo></m:mrow></m:math></equation>
<equation id="fs-id1171242162638"><label/><m:math><m:mrow><m:mstyle displaystyle="true"><m:mrow><m:mo>∮</m:mo><m:mrow><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>E</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle><m:mo>·</m:mo><m:mi>d</m:mi><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>l</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle></m:mrow></m:mrow></m:mstyle><m:mo>=</m:mo><m:mo>−</m:mo><m:mfrac><m:mrow><m:mi>d</m:mi><m:msub><m:mtext>Φ</m:mtext><m:mtext>m</m:mtext></m:msub></m:mrow><m:mrow><m:mi>d</m:mi><m:mi>t</m:mi></m:mrow></m:mfrac><m:mspace width="3em"/><m:mo>(</m:mo><m:mtext>Faraday’s law</m:mtext><m:mo>)</m:mo></m:mrow></m:math></equation>
<equation id="fs-id1171242369180"><label/><m:math><m:mrow><m:mstyle displaystyle="true"><m:mrow><m:mo>∮</m:mo><m:mrow><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>B</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle><m:mo>·</m:mo><m:mi>d</m:mi><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mi>l</m:mi><m:mo stretchy="false">→</m:mo></m:mover></m:mstyle></m:mrow></m:mrow></m:mstyle><m:mo>=</m:mo><m:msub><m:mi>μ</m:mi><m:mn>0</m:mn></m:msub><m:mi>I</m:mi><m:mo>+</m:mo><m:msub><m:mi>ε</m:mi><m:mn>0</m:mn></m:msub><m:msub><m:mi>μ</m:mi><m:mn>0</m:mn></m:msub><m:mfrac><m:mrow><m:mi>d</m:mi><m:msub><m:mtext>Φ</m:mtext><m:mtext>E</m:mtext></m:msub></m:mrow><m:mrow><m:mi>d</m:mi><m:mi>t</m:mi></m:mrow></m:mfrac><m:mspace width="3em"/><m:mo>(</m:mo><m:mtext>Ampère-Maxwell law</m:mtext><m:mo>)</m:mo><m:mo>.</m:mo></m:mrow></m:math></equation>
</note>The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.