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
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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
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    <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>
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TURTLE
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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/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
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    ,"has quantity kind":"quantitykind:Resistance" 
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    ,"symbol":"Z\u209A" 
    ,"type":"qudt:Unit" 
    ]}
JSON-LD
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