Planck current

From Freepedia

The Planck current is the natural unit of electrical current, denoted by I_p.

<math> I_p = q_p/t_p = (c^6 4 \pi \varepsilon_0 / G )^ \frac{1}{2} </math> ≈ 3.479 × 10²⁵ A

where:

<math>q_p = (c \hbar 4 \pi \varepsilon_0 )^ \frac{1}{2} </math> is the Planck charge

<math>t_p = (\hbar G/c^5)^ \frac{1}{2} </math> is the Planck time

<math>\varepsilon_0</math> = permittivity in vacuum

<math>\hbar</math> 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.

Planck's Natural units

Base Planck units: Planck time | Planck length | Planck mass | Planck charge | Planck temperature