Planck current

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 = (c^6 4 pi varepsilon_0 / G )^ frac{1}{2} 3.479 × 1025 A


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.

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