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Capacitors in Series and in Parallel
Source of package openstax.electrodynamics · OpenStax University Physics, ch. 8 Capacitance, module m58449
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- urn:openstax:clir:electrodynamics#M58449
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- OpenStax University Physics, ch. 8 Capacitance, module m58449
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- urn:openstax:clir:electrodynamics#treatise
m58449/index.cnxml at commit d0ed34a (main, 2026-06-11)
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module/m58449#fs-id1167131567108 · section · referenced by: 2
en · official · sha256:a6f3a6d4aef75499da68c9ae5e9d15b1a3a6d22e09cf4bc5ac45235d696b0490
<note id="fs-id1167131567108">
<title>Parallel Combination</title>
<para id="fs-id1167131459182">For capacitors connected in a <term id="term-00002">parallel combination</term>, the equivalent (net) capacitance is the sum of all individual capacitances in the network,</para>
<equation id="fs-id1167134538528"><m:math><m:mrow><m:msub><m:mi>C</m:mi><m:mrow><m:mtext>P</m:mtext></m:mrow></m:msub><m:mo>=</m:mo><m:msub><m:mi>C</m:mi><m:mn>1</m:mn></m:msub><m:mo>+</m:mo><m:msub><m:mi>C</m:mi><m:mn>2</m:mn></m:msub><m:mo>+</m:mo><m:msub><m:mi>C</m:mi><m:mn>3</m:mn></m:msub><m:mo>+</m:mo><m:mtext>⋯</m:mtext><m:mo>.</m:mo></m:mrow></m:math></equation>
</note>Referencing norms: ParallelCapacitancesAdd, combined_in_parallel
module/m58449#fs-id1167134897976 · section · referenced by: 2
en · official · sha256:ddc910510185331e29901ec5437fed080fd42d8ceb23f2c6e3692a662ee89564
<note id="fs-id1167134897976">
<title>Series Combination</title>
<para id="fs-id1167131500452">For capacitors connected in a <term id="term-00001">series combination</term>, the reciprocal of the equivalent capacitance is the sum of reciprocals of individual capacitances:</para>
<equation id="fs-id1167134633020"><m:math><m:mrow><m:mfrac><m:mn>1</m:mn><m:mrow><m:msub><m:mi>C</m:mi><m:mtext>S</m:mtext></m:msub></m:mrow></m:mfrac><m:mo>=</m:mo><m:mfrac><m:mn>1</m:mn><m:mrow><m:msub><m:mi>C</m:mi><m:mn>1</m:mn></m:msub></m:mrow></m:mfrac><m:mo>+</m:mo><m:mfrac><m:mn>1</m:mn><m:mrow><m:msub><m:mi>C</m:mi><m:mn>2</m:mn></m:msub></m:mrow></m:mfrac><m:mo>+</m:mo><m:mfrac><m:mn>1</m:mn><m:mrow><m:msub><m:mi>C</m:mi><m:mn>3</m:mn></m:msub></m:mrow></m:mfrac><m:mo>+</m:mo><m:mtext>⋯</m:mtext><m:mo>.</m:mo></m:mrow></m:math></equation>
</note>Referencing norms: SeriesCapacitancesAddReciprocally, combined_in_series
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