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Namespace Prefixes

Prefix	IRI
n4	http://qudt.org/vocab/quantitykind/
dcterms	http://purl.org/dc/terms/
n5	http://qudt.org/vocab/sou/
n3	http://qudt.org/schema/qudt/
n2	http://qudt.org/vocab/unit/
rdfs	http://www.w3.org/2000/01/rdf-schema#
n6	http://qudt.org/vocab/dimensionvector/
n8	http://qudt.org/2.1/vocab/
rdf	http://www.w3.org/1999/02/22-rdf-syntax-ns#
xsdh	http://www.w3.org/2001/XMLSchema#

Statements

Subject Item

n2:PlanckImpedance

rdf:type

n3:Unit

rdfs:label

Planck Impedance

rdfs:isDefinedBy

n8:unit

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.

n3:hasDimensionVector

n6:A0E-2L2I0M1H0T-3D0

n3:informativeReference

http://en.wikipedia.org/wiki/Planck_impedance

n3: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.

n3:symbol

Zₚ

n3:hasQuantityKind

n4:Resistance

n3:applicableSystem

n5:PLANCK

n3:conversionMultiplier

29.9792458

n3:derivedUnitOfSystem

n5:PLANCK