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# Planck current

The Planck current is the unit of electric current, denoted by Ip, in the system of natural units known as Planck units.

$I_p = q_p/t_p = \left(c^6 4 pi varepsilon_0 / G \right)^ frac\left\{1\right\}\left\{2\right\}$3.479 × 1025 A

where:

$q_p = \left(c hbar 4 pi varepsilon_0 \right)^ frac\left\{1\right\}\left\{2\right\}$ is the Planck charge

$t_p = \left(hbar G/c^5\right)^ frac\left\{1\right\}\left\{2\right\}$ is the Planck time

$varepsilon_0$ = permittivity in vacuum

$hbar$ is Dirac's constant

G is the gravitational constant

c is the speed of light in vacuum.

The Planck current is that current which, in a conductor, carries a Planck charge in Planck time.

Alternately, the Planck current is that constant current which, if maintained in two straight parallel conductors of 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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