Source / pinned edition
Explaining Gauss’s Law
Source of package openstax.electrodynamics · OpenStax University Physics, ch. 6 Gauss's Law, module m58424
- work
- urn:openstax:clir:electrodynamics#M58424
- number
- OpenStax University Physics, ch. 6 Gauss's Law, module m58424
- kind
- urn:openstax:clir:electrodynamics#treatise
m58424/index.cnxml at commit d0ed34a (main, 2026-06-11)
- edition
- urn:openstax:clir:electrodynamics#M58424_MAIN
- language
- en
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- 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/m58424/index.cnxml | application/xml; charset=utf-8 | sha256:eabf90b0a75dce66a92c30106e426d3d6c2969c96dc18b0386fec9143975c60e | 2026-09-06T00:00:00Z |
Fragments — 2
module/m58424#fs-id1172100551861 · defn · referenced by: 1
en · official · sha256:d5bd2c7bbf0871630f414a56be4f670abd4da3132fd6747b2b62ecde3a5a42fa
<definition id="fs-id1172100551861">
<term>Gaussian surface</term>
<meaning id="fs-id1172093815507">any enclosed (usually imaginary) surface</meaning>
</definition>Referencing norms: encloses_charge
module/m58424#fs-id1172098756510 · section · referenced by: 3
en · official · sha256:e6071834b420f750adc2717e6abdab5a452bbc3bf54387b31a1542c41a59d3e3
<note id="fs-id1172098756510">
<title>Gauss’s Law</title>
<para id="fs-id1172096342582">The flux <m:math><m:mtext>Φ</m:mtext></m:math> of the electric field <m:math><m:mrow><m:mover accent="true"><m:mstyle mathvariant="bold" mathsize="normal"><m:mtext>E</m:mtext></m:mstyle><m:mo stretchy="true">→</m:mo></m:mover></m:mrow></m:math> through any closed surface <emphasis effect="italics">S</emphasis> (a Gaussian surface) is equal to the net charge enclosed <m:math><m:mrow><m:mo stretchy="false">(</m:mo><m:msub><m:mi>q</m:mi><m:mrow><m:mtext>enc</m:mtext></m:mrow></m:msub><m:mo stretchy="false">)</m:mo></m:mrow></m:math> divided by the permittivity of free space <m:math><m:mrow><m:mo stretchy="false">(</m:mo><m:msub><m:mi>ε</m:mi><m:mn>0</m:mn></m:msub><m:mo stretchy="false">)</m:mo><m:mo>:</m:mo></m:mrow></m:math></para>
<equation id="fs-id1172098294896"><m:math><m:mrow><m:mtext>Φ</m:mtext><m:mo>=</m:mo><m:mstyle displaystyle="true"><m:mrow><m:msub><m:mo>∮</m:mo><m:mi>S</m:mi></m:msub><m:mrow><m:mover accent="true"><m:mstyle mathvariant="bold" mathsize="normal"><m:mtext>E</m:mtext></m:mstyle><m:mo stretchy="true">→</m:mo></m:mover><m:mo>·</m:mo><m:mstyle mathvariant="bold" mathsize="normal"><m:mover accent="true"><m:mtext>n</m:mtext><m:mo>^</m:mo></m:mover></m:mstyle><m:mspace width="0.2em"/><m:mi>d</m:mi><m:mi>A</m:mi><m:mo>=</m:mo></m:mrow></m:mrow></m:mstyle><m:mfrac><m:mrow><m:msub><m:mi>q</m:mi><m:mrow><m:mtext>enc</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:mo>.</m:mo></m:mrow></m:math></equation>
</note>Referencing norms: GaussLawAgrees, GaussLawRefuted, SameEnclosedChargeSameFlux
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