# Planck voltage

The Planck voltage is the unit of voltage, denoted by VP, in the system of natural units known as Planck units.

$V_\text{P} = \frac{E_\text{P}}{q_\text{P}} = \sqrt{\frac{c^4}{G 4 \pi \epsilon_0}} \approx$ 1.04295 × 1027 V

where

$E_\text{P}$ is the Planck energy

$q_\text{P}$ is the Planck charge

$c$ is the speed of light in a vacuum

$G$ is the gravitational constant

$\epsilon_0 \$ is the permittivity of free space