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| {{Unreferenced|date=December 2009}}
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| [[Image:Planck current.png|frame|right|1 - conductors, F<sub>P</sub> - Planck force, l<sub>P</sub> - Planck length, I<sub>P</sub> - Planck current.]]
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| The '''Planck current''' is the unit of [[electric current]], denoted by I<sub>P</sub>, in the system of [[natural units]] known as [[Planck units]].
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| :<math> I_\text{P} = q_\text{P}/t_\text{P} = (c^6 4 \pi \varepsilon_0 / G )^ \frac{1}{2} </math> ≈ 3.479 × 10<sup>25</sup> [[ampere|A]]
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| where:
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| :<math>q_\text{P} = (c \hbar 4 \pi \varepsilon_0 )^ \frac{1}{2} </math> is the [[Planck charge]] | |
| :<math>t_\text{P} = (\hbar G/c^5)^ \frac{1}{2} </math> is the [[Planck time]]
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| :<math>\varepsilon_0</math> = [[permittivity]] in vacuum
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| :<math>\hbar</math> is the [[reduced Planck constant]]
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| :''G'' is the [[gravitational constant]]
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| :''c'' is the [[speed of light]] in vacuum.
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| The Planck current is that current which, in a [[conductor (material)|conductor]], carries a Planck charge in Planck time.
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| Alternatively, the Planck current is that constant current which, if maintained in two straight parallel conductors of [[infinity|infinite]] length and negligible circular cross-section, and placed a Planck length apart in [[vacuum]], would produce between these conductors a [[force]] equal to a Planck force per Planck length.
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| == Notes and references==
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| {{Reflist|2}}
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| {{Planck's natural units}}
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| {{Portal bar|Physics}}
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| {{DEFAULTSORT:Planck Current}}
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| [[Category:Natural units|Current, planck]]
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| [[Category:Units of electric current]]
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| {{Physics-stub}}
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