Planck current

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