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 $4\pi$. 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.

Properties
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.
Annotations
dcterms: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 $4\pi$. 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.
rdfs:label
Planck Impedance(en)
View as:  CSV

Work in progress

RDF/XML
<rdf:RDF
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:j.0="http://qudt.org/schema/qudt/"
    xmlns:j.1="http://purl.org/dc/terms/"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="http://qudt.org/vocab/unit/PlanckImpedance">
    <rdf:type rdf:resource="http://qudt.org/schema/qudt/Unit"/>
    <j.0:symbol>Zₚ</j.0:symbol>
    <j.0:derivedUnitOfSystem rdf:resource="http://qudt.org/vocab/sou/PLANCK"/>
    <rdfs:label xml:lang="en">Planck Impedance</rdfs:label>
    <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>
    <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>
    <rdfs:isDefinedBy rdf:resource="http://qudt.org/2.1/vocab/unit"/>
    <j.0:applicableSystem rdf:resource="http://qudt.org/vocab/sou/PLANCK"/>
    <j.0:hasDimensionVector rdf:resource="http://qudt.org/vocab/dimensionvector/A0E-2L2I0M1H0T-3D0"/>
  </rdf:Description>
</rdf:RDF>
TURTLE
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<http://qudt.org/vocab/unit/PlanckImpedance>
  rdf:type <http://qudt.org/schema/qudt/Unit> ;
  <http://purl.org/dc/terms/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 $4\\pi$. 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."^^<http://qudt.org/schema/qudt/LatexString> ;
  <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 ;
  <http://qudt.org/schema/qudt/derivedUnitOfSystem> <http://qudt.org/vocab/sou/PLANCK> ;
  <http://qudt.org/schema/qudt/hasDimensionVector> <http://qudt.org/vocab/dimensionvector/A0E-2L2I0M1H0T-3D0> ;
  <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> ;
  <http://qudt.org/schema/qudt/symbol> "Zₚ" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/unit> ;
  rdfs:label "Planck Impedance"@en ;
.
JSON
{"resource":"Planck Impedance" 
 ,"qname":"unit:PlanckImpedance" 
 ,"uri":"http:\/\/qudt.org\/vocab\/unit\/PlanckImpedance" 
 ,"properties":["applicable system":"sou:PLANCK" 
    ,"conversion multiplier":"29.9792458" 
    ,"conversion multiplier scientific":"2.99792458E1" 
    ,"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 $4\\pi$. 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." 
    ,"has dimension vector":"dimension:A0E-2L2I0M1H0T-3D0" 
    ,"has quantity kind":"quantitykind:Resistance" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Planck_impedance" 
    ,"is derived unit of system":"sou:PLANCK" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/unit&gt;" 
    ,"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." 
    ,"symbol":"Z\u209A" 
    ,"type":"qudt:Unit" 
    ]}
JSON-LD
{
  "@id" : "http://qudt.org/vocab/unit/PlanckImpedance",
  "@type" : "http://qudt.org/schema/qudt/Unit",
  "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 $4\\pi$. 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.",
  "applicableSystem" : "http://qudt.org/vocab/sou/PLANCK",
  "conversionMultiplier" : "29.9792458",
  "conversionMultiplier:SN" : 29.9792458,
  "derivedUnitOfSystem" : "http://qudt.org/vocab/sou/PLANCK",
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E-2L2I0M1H0T-3D0",
  "hasQuantityKind" : "http://qudt.org/vocab/quantitykind/Resistance",
  "informativeReference" : "http://en.wikipedia.org/wiki/Planck_impedance",
  "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.",
  "symbol" : "Zₚ",
  "isDefinedBy" : "http://qudt.org/2.1/vocab/unit",
  "label" : {
    "@language" : "en",
    "@value" : "Planck Impedance"
  },
  "@context" : {
    "symbol" : {
      "@id" : "http://qudt.org/schema/qudt/symbol"
    },
    "derivedUnitOfSystem" : {
      "@id" : "http://qudt.org/schema/qudt/derivedUnitOfSystem",
      "@type" : "@id"
    },
    "label" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#label"
    },
    "hasQuantityKind" : {
      "@id" : "http://qudt.org/schema/qudt/hasQuantityKind",
      "@type" : "@id"
    },
    "conversionMultiplierSN" : {
      "@id" : "http://qudt.org/schema/qudt/conversionMultiplierSN",
      "@type" : "http://www.w3.org/2001/XMLSchema#double"
    },
    "description" : {
      "@id" : "http://purl.org/dc/terms/description",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "conversionMultiplier" : {
      "@id" : "http://qudt.org/schema/qudt/conversionMultiplier",
      "@type" : "http://www.w3.org/2001/XMLSchema#decimal"
    },
    "latexDefinition" : {
      "@id" : "http://qudt.org/schema/qudt/latexDefinition",
      "@type" : "http://qudt.org/schema/qudt/LatexString"
    },
    "informativeReference" : {
      "@id" : "http://qudt.org/schema/qudt/informativeReference",
      "@type" : "http://www.w3.org/2001/XMLSchema#anyURI"
    },
    "isDefinedBy" : {
      "@id" : "http://www.w3.org/2000/01/rdf-schema#isDefinedBy",
      "@type" : "@id"
    },
    "applicableSystem" : {
      "@id" : "http://qudt.org/schema/qudt/applicableSystem",
      "@type" : "@id"
    },
    "hasDimensionVector" : {
      "@id" : "http://qudt.org/schema/qudt/hasDimensionVector",
      "@type" : "@id"
    },
    "rdf" : "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
    "owl" : "http://www.w3.org/2002/07/owl#",
    "xsd" : "http://www.w3.org/2001/XMLSchema#",
    "rdfs" : "http://www.w3.org/2000/01/rdf-schema#"
  }
}

Generated 2024-04-25T14:43:46.948-04:00 by lmdoc version 1.1 with  TopBraid SPARQL Web Pages (SWP)