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Kirchhoff's Rules
Source of package openstax.electrodynamics · OpenStax University Physics, ch. 10 Direct-Current Circuits, module m58455
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- urn:openstax:clir:electrodynamics#M58455
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- OpenStax University Physics, ch. 10 Direct-Current Circuits, module m58455
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- urn:openstax:clir:electrodynamics#treatise
m58455/index.cnxml at commit d0ed34a (main, 2026-06-11)
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| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58455/index.cnxml | application/xml; charset=utf-8 | sha256:fd4f125e9a07bb4fa082701892a233a045755c981555e4737528cb52b9c06fcd | 2026-09-06T00:00:00Z |
Fragments — 3
module/m58455#fs-id1172100960254 · defn · referenced by: 4
en · official · sha256:8170f12bd531a027cb3ba9c9a3d94a515d24cf003af7494d1092102a3558bad8
<definition id="fs-id1172100960254">
<term>junction rule</term>
<meaning id="fs-id1172096302577">sum of all currents entering a junction must equal the sum of all currents leaving the junction</meaning>
</definition>Referencing norms: JunctionRuleAgrees, JunctionRuleRefuted, current_into, current_out_of
module/m58455#fs-id1172101007948 · section
en · official · sha256:e92a4190aebdf8c96ec78a4bbb573c73bfccb382408d864ece6b2647980aa482
<note id="fs-id1172101007948">
<title>Kirchhoff’s Rules</title>
<list id="fs-id1172100596281" list-type="bulleted" bullet-style="bullet">
<item>Kirchhoff’s first rule—the junction rule. The sum of all currents entering a junction must equal the sum of all currents leaving the junction:
<equation id="fs-id1172096076856"><m:math><m:mrow><m:mstyle displaystyle="true"><m:mo>∑</m:mo><m:mrow><m:msub><m:mi>I</m:mi><m:mrow><m:mtext>in</m:mtext></m:mrow></m:msub><m:mo>=</m:mo><m:mstyle displaystyle="true"><m:mo>∑</m:mo> <m:mrow><m:msub><m:mi>I</m:mi><m:mrow><m:mtext>out</m:mtext></m:mrow></m:msub></m:mrow></m:mstyle></m:mrow></m:mstyle><m:mo>.</m:mo></m:mrow></m:math></equation></item>
<item>Kirchhoff’s second rule—the loop rule. The algebraic sum of changes in potential around any closed circuit path (loop) must be zero:
<equation id="fs-id1172098379534"><m:math><m:mrow><m:mstyle displaystyle="true"><m:mo>∑</m:mo> <m:mrow><m:mi>V</m:mi><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow></m:mstyle><m:mo>.</m:mo></m:mrow></m:math></equation></item>
</list>
</note>module/m58455#fs-id1172098431592 · defn · referenced by: 3
en · official · sha256:c910b1b88ab78c34751578698c65762ce81f4709c47455630825e6edbed0b49e
<definition id="fs-id1172098431592">
<term>loop rule</term>
<meaning id="fs-id1172100617070">algebraic sum of changes in potential around any closed circuit path (loop) must be zero</meaning>
</definition>Referencing norms: LoopRuleAgrees, LoopRuleRefuted, potential_change_sum
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.