Planck current

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

$I\_p\; =\; q\_p/t\_p\; =\; (c^6\; 4\; pi\; varepsilon\_0\; /\; G\; )^\; frac\{1\}\{2\}$ ≈
3.479 × 10²⁵ A

where:

$q\_p\; =\; (c\; hbar\; 4\; pi\; varepsilon\_0\; )^\; frac\{1\}\{2\}$ is the Planck charge

$t\_p\; =\; (hbar\; G/c^5)^\; frac\{1\}\{2\}$ 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.