unit:PlanckImpedance

URI: http://qudt.org/vocab/unit/PlanckImpedance

Type

Description

The Planck impedance is the unit of electrical resistance, denoted by ZP, in the system of natural units known as Planck units. The Planck impedance is directly coupled to the impedance of free space, Z0, and differs in value from Z0 only by a factor of $4 π$ . If the Planck charge were instead defined to normalize the permittivity of free space, $ϵ_{0}$ , rather than the Coulomb constant, $1 / (4 π ϵ_{0})$ , then the Planck impedance would be identical to the characteristic impedance of free space.

Properties

qudt:applicableSystem

qudt:conversionMultiplier

qudt:conversionMultiplierSN

qudt:hasDimensionVector

qudt:hasQuantityKind

qudt:derivedUnitOfSystem

qudt:latexDefinition

qudt:scalingOf

qudt:symbol

rdf:type

Annotations

qudt:wikidataMatch

dcterms:description

4 π

. If the Planck charge were instead defined to normalize the permittivity of free space,

ϵ_{0}

, rather than the Coulomb constant,

1 / (4 π ϵ_{0})

, then the Planck impedance would be identical to the characteristic impedance of free space.

qudt:informativeReference

rdfs:isDefinedBy

rdfs:label

View as: CSV

Work in progress

RDF/XML

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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
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    <j.0:symbol>Zₚ</j.0:symbol>
    <j.0:derivedUnitOfSystem rdf:resource="http://qudt.org/vocab/sou/PLANCK"/>
    <rdfs:label>Planck Impedance</rdfs:label>
    <rdfs:label xml:lang="en">Planck Impedance</rdfs:label>
    <j.0:scalingOf rdf:resource="http://qudt.org/vocab/unit/OHM"/>
    <j.0:hasQuantityKind rdf:resource="http://qudt.org/vocab/quantitykind/Resistance"/>
    <j.0:conversionMultiplierSN rdf:datatype="http://www.w3.org/2001/XMLSchema#double">2.99792458E1</j.0:conversionMultiplierSN>
    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">The Planck impedance is the unit of electrical resistance, denoted by ZP, in the system of natural units known as Planck units. The Planck impedance is directly coupled to the impedance of free space, Z0, and differs in value from Z0 only by a factor of $4\pi$. If the Planck charge were instead defined to normalize the permittivity of free space, $\epsilon_0$, rather than the Coulomb constant, $1/(4\pi\epsilon_0)$, then the Planck impedance would be identical to the characteristic impedance of free space.</j.1:description>
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    <j.0:conversionMultiplier rdf:datatype="http://www.w3.org/2001/XMLSchema#decimal">29.9792458</j.0:conversionMultiplier>
    <j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">$Z_P = \frac{V_P}{I_P}= \frac{1}{4\pi\epsilon_0c}=\frac{\mu_oc}{4\pi}=\frac{Z_0}{4\pi}=29.9792458\Omega$\where $V_P$ is the Planck voltage, $I_P$ is the Planck current, $c$ is the speed of light in a vacuum, $\epsilon_0$ is the permittivity of free space, $\mu_0$ is the permeability of free space, and $Z_0$ is the impedance of free space.</j.0:latexDefinition>
    <j.0:informativeReference rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">http://en.wikipedia.org/wiki/Planck_impedance</j.0:informativeReference>
    <j.0:applicableSystem rdf:resource="http://qudt.org/vocab/sou/PLANCK"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E-2L2I0M1H0T-3D0"/>
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TURTLE

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@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<http://qudt.org/vocab/unit/PlanckImpedance>
  rdf:type <http://qudt.org/schema/qudt/Unit> ;
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  <http://qudt.org/schema/qudt/applicableSystem> <http://qudt.org/vocab/sou/PLANCK> ;
  <http://qudt.org/schema/qudt/conversionMultiplier> 29.9792458 ;
  <http://qudt.org/schema/qudt/conversionMultiplierSN> 2.99792458E1 ;
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  <http://qudt.org/schema/qudt/hasQuantityKind> <http://qudt.org/vocab/quantitykind/Resistance> ;
  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Planck_impedance"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/latexDefinition> "$Z_P = \\frac{V_P}{I_P}= \\frac{1}{4\\pi\\epsilon_0c}=\\frac{\\mu_oc}{4\\pi}=\\frac{Z_0}{4\\pi}=29.9792458\\Omega$\\where $V_P$ is the Planck voltage, $I_P$ is the Planck current, $c$ is the speed of light in a vacuum, $\\epsilon_0$ is the permittivity of free space, $\\mu_0$ is the permeability of free space, and $Z_0$ is the impedance of free space."^^<http://qudt.org/schema/qudt/LatexString> ;
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  rdfs:isDefinedBy <http://qudt.org/3.1.5/vocab/unit> ;
  rdfs:label "Planck Impedance" ;
  rdfs:label "Planck Impedance"@en ;
.

JSON

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 ,"uri":"http:\/\/qudt.org\/vocab\/unit\/PlanckImpedance" 
 ,"properties":["Wikidata match":"&lt;http:\/\/www.wikidata.org\/entity\/Q1323237&gt;" 
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    ,"conversion multiplier scientific":"2.99792458E1" 
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    ,"label":"Planck Impedance" 
    ,"label":"Planck Impedance" 
    ,"latex definition":"$Z_P = \\frac{V_P}{I_P}= \\frac{1}{4\\pi\\epsilon_0c}=\\frac{\\mu_oc}{4\\pi}=\\frac{Z_0}{4\\pi}=29.9792458\\Omega$\\where $V_P$ is the Planck voltage, $I_P$ is the Planck current, $c$ is the speed of light in a vacuum, $\\epsilon_0$ is the permittivity of free space, $\\mu_0$ is the permeability of free space, and $Z_0$ is the impedance of free space." 
    ,"scalingOf":"unit:OHM" 
    ,"symbol":"Z\u209A" 
    ,"type":"qudt:Unit" 
    ]}

JSON-LD

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