quantitykind:InstantaneousPower

URI: http://qudt.org/vocab/quantitykind/InstantaneousPower

Type
Description

For a two-terminal element or a two-terminal circuit with terminals A and B, $\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: $$p = u_{AB} \cdot i$$ Where $u_{AB}$ is the line integral of the electric field strength from A to B, and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. $$$$ For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. $$$$ For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element. $$$$ For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.

Properties
qudt:latexDefinition
$p = ui$, where $u$ is instantaneous voltage and $i$ is instantaneous electric current.
Annotations
dcterms:description
For a two-terminal element or a two-terminal circuit with terminals A and B, $\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: $$p = u_{AB} \cdot i$$ Where $u_{AB}$ is the line integral of the electric field strength from A to B, and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. $$$$ For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. $$$$ For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element. $$$$ For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.
rdfs:label
Instantaneous Power(en)
View as:  CSV

Work in progress

RDF/XML
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    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="http://qudt.org/vocab/quantitykind/InstantaneousPower">
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    <j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">
  For a two-terminal element or a two-terminal circuit with terminals A and B, 
   $\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: 
  $$p = u_{AB} \cdot i$$
  Where $u_{AB}$ is the line integral of the electric field strength from A to B,
    and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. 
  $$$$
  For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. 
  $$$$
  For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element.  
  $$$$
  For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.
   </j.1:description>
    <rdfs:label xml:lang="en">Instantaneous Power</rdfs:label>
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  </rdf:Description>
</rdf:RDF>
TURTLE
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@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/quantitykind/InstantaneousPower>
  rdf:type <http://qudt.org/schema/qudt/QuantityKind> ;
  <http://purl.org/dc/terms/description> """
  For a two-terminal element or a two-terminal circuit with terminals A and B, 
   $\\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: 
  $$p = u_{AB} \\cdot i$$
  Where $u_{AB}$ is the line integral of the electric field strength from A to B,
    and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. 
  $$$$
  For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. 
  $$$$
  For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element.  
  $$$$
  For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.
   """^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/applicableUnit> <http://qudt.org/vocab/unit/BAR-L-PER-SEC> ;
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  <http://qudt.org/schema/qudt/informativeReference> "http://en.wikipedia.org/wiki/Power"^^xsd:anyURI ;
  <http://qudt.org/schema/qudt/informativeReference> "http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=131-11-30"^^xsd:anyURI ;
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  <http://qudt.org/schema/qudt/latexDefinition> "$p = ui$, where $u$ is instantaneous voltage and $i$ is instantaneous electric current."^^<http://qudt.org/schema/qudt/LatexString> ;
  <http://qudt.org/schema/qudt/symbol> "p" ;
  rdfs:isDefinedBy <http://qudt.org/2.1/vocab/quantitykind> ;
  rdfs:label "Instantaneous Power"@en ;
  <http://www.w3.org/2004/02/skos/core#broader> <http://qudt.org/vocab/quantitykind/ElectricPower> ;
.
JSON
{"resource":"Instantaneous Power" 
 ,"qname":"quantitykind:InstantaneousPower" 
 ,"uri":"http:\/\/qudt.org\/vocab\/quantitykind\/InstantaneousPower" 
 ,"properties":["applicable unit":"unit:BAR-L-PER-SEC" 
    ,"applicable unit":"unit:BAR-M3-PER-SEC" 
    ,"applicable unit":"unit:BTU_IT-PER-HR" 
    ,"applicable unit":"unit:BTU_IT-PER-SEC" 
    ,"applicable unit":"unit:ERG-PER-SEC" 
    ,"applicable unit":"unit:ExaJ-PER-SEC" 
    ,"applicable unit":"unit:ExaW" 
    ,"applicable unit":"unit:FT-LB_F-PER-HR" 
    ,"applicable unit":"unit:FT-LB_F-PER-MIN" 
    ,"applicable unit":"unit:FT-LB_F-PER-SEC" 
    ,"applicable unit":"unit:GigaJ-PER-HR" 
    ,"applicable unit":"unit:GigaJ-PER-SEC" 
    ,"applicable unit":"unit:GigaW" 
    ,"applicable unit":"unit:HP" 
    ,"applicable unit":"unit:HP_Boiler" 
    ,"applicable unit":"unit:HP_Brake" 
    ,"applicable unit":"unit:HP_Electric" 
    ,"applicable unit":"unit:HP_Metric" 
    ,"applicable unit":"unit:HectoPA-L-PER-SEC" 
    ,"applicable unit":"unit:HectoPA-M3-PER-SEC" 
    ,"applicable unit":"unit:J-PER-DAY" 
    ,"applicable unit":"unit:J-PER-HR" 
    ,"applicable unit":"unit:J-PER-MIN" 
    ,"applicable unit":"unit:J-PER-SEC" 
    ,"applicable unit":"unit:KiloBTU_IT-PER-HR" 
    ,"applicable unit":"unit:KiloCAL-PER-MIN" 
    ,"applicable unit":"unit:KiloCAL-PER-SEC" 
    ,"applicable unit":"unit:KiloGM_F-M-PER-SEC" 
    ,"applicable unit":"unit:KiloJ-PER-DAY" 
    ,"applicable unit":"unit:KiloJ-PER-HR" 
    ,"applicable unit":"unit:KiloJ-PER-MIN" 
    ,"applicable unit":"unit:KiloJ-PER-SEC" 
    ,"applicable unit":"unit:KiloW" 
    ,"applicable unit":"unit:MegaBTU_IT-PER-HR" 
    ,"applicable unit":"unit:MegaJ-PER-HR" 
    ,"applicable unit":"unit:MegaJ-PER-SEC" 
    ,"applicable unit":"unit:MegaPA-L-PER-SEC" 
    ,"applicable unit":"unit:MegaPA-M3-PER-SEC" 
    ,"applicable unit":"unit:MegaW" 
    ,"applicable unit":"unit:MicroJ-PER-SEC" 
    ,"applicable unit":"unit:MicroW" 
    ,"applicable unit":"unit:MilliBAR-L-PER-SEC" 
    ,"applicable unit":"unit:MilliBAR-M3-PER-SEC" 
    ,"applicable unit":"unit:MilliJ-PER-SEC" 
    ,"applicable unit":"unit:MilliW" 
    ,"applicable unit":"unit:NanoJ-PER-SEC" 
    ,"applicable unit":"unit:NanoW" 
    ,"applicable unit":"unit:PA-L-PER-SEC" 
    ,"applicable unit":"unit:PA-M3-PER-SEC" 
    ,"applicable unit":"unit:PFERDESTAERKE" 
    ,"applicable unit":"unit:PSI-IN3-PER-SEC" 
    ,"applicable unit":"unit:PSI-L-PER-SEC" 
    ,"applicable unit":"unit:PSI-M3-PER-SEC" 
    ,"applicable unit":"unit:PSI-YD3-PER-SEC" 
    ,"applicable unit":"unit:PetaJ-PER-SEC" 
    ,"applicable unit":"unit:PetaW" 
    ,"applicable unit":"unit:PicoJ-PER-SEC" 
    ,"applicable unit":"unit:PicoW" 
    ,"applicable unit":"unit:PlanckPower" 
    ,"applicable unit":"unit:THM_US-PER-HR" 
    ,"applicable unit":"unit:TON_FG" 
    ,"applicable unit":"unit:TeraJ-PER-SEC" 
    ,"applicable unit":"unit:TeraW" 
    ,"applicable unit":"unit:TeraW-HR-PER-YR" 
    ,"applicable unit":"unit:W" 
    ,"description":"\n  For a two-terminal element or a two-terminal circuit with terminals A and B, \n   $\\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: \n  $$p = u_{AB} \\cdot i$$\n  Where $u_{AB}$ is the line integral of the electric field strength from A to B,\n    and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. \n  $$$$\n  For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. \n  $$$$\n  For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element.  \n  $$$$\n  For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.\n   " 
    ,"has broader":"quantitykind:ElectricPower" 
    ,"has dimension vector":"dimension:A0E0L2I0M1H0T-3D0" 
    ,"informative reference":"http:\/\/en.wikipedia.org\/wiki\/Power" 
    ,"informative reference":"http:\/\/www.electropedia.org\/iev\/iev.nsf\/display?openform&amp;ievref=131-11-30" 
    ,"informative reference":"http:\/\/www.electropedia.org\/iev\/iev.nsf\/display?openform&amp;ievref=131-11-31" 
    ,"informative reference":"http:\/\/www.electropedia.org\/iev\/iev.nsf\/display?openform&amp;ievref=141-02-14" 
    ,"informative reference":"http:\/\/www.electropedia.org\/iev\/iev.nsf\/display?openform&amp;ievref=141-03-10" 
    ,"informative reference":"http:\/\/www.iso.org\/iso\/home\/store\/catalogue_tc\/catalogue_detail.htm?csnumber=31891" 
    ,"isDefinedBy":"&lt;http:\/\/qudt.org\/2.1\/vocab\/quantitykind&gt;" 
    ,"label":"Instantaneous Power" 
    ,"latex definition":"$p = ui$, where $u$ is instantaneous voltage and $i$ is instantaneous electric current." 
    ,"symbol":"p" 
    ,"type":"qudt:QuantityKind" 
    ]}
JSON-LD
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  "@id" : "http://qudt.org/vocab/quantitykind/InstantaneousPower",
  "@type" : "http://qudt.org/schema/qudt/QuantityKind",
  "description" : "\n  For a two-terminal element or a two-terminal circuit with terminals A and B, \n   $\\textit{Instantaneous Power}$ is the product of the voltage $u_{AB}$ between the terminals and the electric current i in the element or circuit: \n  $$p = u_{AB} \\cdot i$$\n  Where $u_{AB}$ is the line integral of the electric field strength from A to B,\n    and where the electric current in the element or circuit is taken positive if its direction is from A to B and negative in the opposite case. \n  $$$$\n  For an n-terminal circuit, it is the sum of the instantaneous powers relative to the n - 1 pairs of terminals when one of the terminals is chosen as a common terminal for the pairs. \n  $$$$\n  For a polyphase element, it is the sum of the instantaneous powers in all phase elements of a polyphase element.  \n  $$$$\n  For a polyphase line consisting of m line conductors and one neutral conductor, it is the sum of the m instantaneous powers expressed for each line conductor by the product of the polyphase line-to-neutral voltage and the corresponding line current.\n   ",
  "applicableUnit" : [ "http://qudt.org/vocab/unit/TeraW-HR-PER-YR", "http://qudt.org/vocab/unit/KiloBTU_IT-PER-HR", "http://qudt.org/vocab/unit/KiloCAL-PER-MIN", "http://qudt.org/vocab/unit/HP_Electric", "http://qudt.org/vocab/unit/TON_FG", "http://qudt.org/vocab/unit/BAR-L-PER-SEC", "http://qudt.org/vocab/unit/J-PER-HR", "http://qudt.org/vocab/unit/W", "http://qudt.org/vocab/unit/MegaPA-M3-PER-SEC", "http://qudt.org/vocab/unit/PA-M3-PER-SEC", "http://qudt.org/vocab/unit/HP", "http://qudt.org/vocab/unit/MilliBAR-L-PER-SEC", "http://qudt.org/vocab/unit/PA-L-PER-SEC", "http://qudt.org/vocab/unit/J-PER-DAY", "http://qudt.org/vocab/unit/MicroJ-PER-SEC", "http://qudt.org/vocab/unit/KiloW", "http://qudt.org/vocab/unit/PetaJ-PER-SEC", "http://qudt.org/vocab/unit/PFERDESTAERKE", "http://qudt.org/vocab/unit/KiloJ-PER-SEC", "http://qudt.org/vocab/unit/MegaPA-L-PER-SEC", "http://qudt.org/vocab/unit/HP_Metric", "http://qudt.org/vocab/unit/MilliW", "http://qudt.org/vocab/unit/THM_US-PER-HR", "http://qudt.org/vocab/unit/PSI-IN3-PER-SEC", "http://qudt.org/vocab/unit/TeraW", "http://qudt.org/vocab/unit/J-PER-SEC", "http://qudt.org/vocab/unit/PSI-YD3-PER-SEC", "http://qudt.org/vocab/unit/BTU_IT-PER-HR", "http://qudt.org/vocab/unit/FT-LB_F-PER-HR", "http://qudt.org/vocab/unit/GigaJ-PER-SEC", "http://qudt.org/vocab/unit/J-PER-MIN", "http://qudt.org/vocab/unit/PetaW", "http://qudt.org/vocab/unit/MilliJ-PER-SEC", "http://qudt.org/vocab/unit/MicroW", "http://qudt.org/vocab/unit/MegaBTU_IT-PER-HR", "http://qudt.org/vocab/unit/KiloGM_F-M-PER-SEC", "http://qudt.org/vocab/unit/KiloCAL-PER-SEC", "http://qudt.org/vocab/unit/MegaJ-PER-SEC", "http://qudt.org/vocab/unit/GigaJ-PER-HR", "http://qudt.org/vocab/unit/BTU_IT-PER-SEC", "http://qudt.org/vocab/unit/GigaW", "http://qudt.org/vocab/unit/KiloJ-PER-MIN", "http://qudt.org/vocab/unit/HP_Boiler", "http://qudt.org/vocab/unit/PicoJ-PER-SEC", "http://qudt.org/vocab/unit/ExaW", "http://qudt.org/vocab/unit/TeraJ-PER-SEC", "http://qudt.org/vocab/unit/MegaJ-PER-HR", "http://qudt.org/vocab/unit/PicoW", "http://qudt.org/vocab/unit/KiloJ-PER-HR", "http://qudt.org/vocab/unit/HectoPA-L-PER-SEC", "http://qudt.org/vocab/unit/FT-LB_F-PER-SEC", "http://qudt.org/vocab/unit/MegaW", "http://qudt.org/vocab/unit/PSI-L-PER-SEC", "http://qudt.org/vocab/unit/PlanckPower", "http://qudt.org/vocab/unit/ExaJ-PER-SEC", "http://qudt.org/vocab/unit/MilliBAR-M3-PER-SEC", "http://qudt.org/vocab/unit/NanoW", "http://qudt.org/vocab/unit/PSI-M3-PER-SEC", "http://qudt.org/vocab/unit/BAR-M3-PER-SEC", "http://qudt.org/vocab/unit/FT-LB_F-PER-MIN", "http://qudt.org/vocab/unit/HectoPA-M3-PER-SEC", "http://qudt.org/vocab/unit/KiloJ-PER-DAY", "http://qudt.org/vocab/unit/NanoJ-PER-SEC", "http://qudt.org/vocab/unit/ERG-PER-SEC", "http://qudt.org/vocab/unit/HP_Brake" ],
  "hasDimensionVector" : "http://qudt.org/vocab/dimensionvector/A0E0L2I0M1H0T-3D0",
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  "latexDefinition" : "$p = ui$, where $u$ is instantaneous voltage and $i$ is instantaneous electric current.",
  "symbol" : "p",
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  "label" : {
    "@language" : "en",
    "@value" : "Instantaneous Power"
  },
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}

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