# Coulomb's Constant

Written by Jerry Ratzlaff on . Posted in Constants

Coulomb constant, abbreviated as $$k_e, k, or K$$, is the electric force constant, or the electrostatic constant, it is a proportionality constant in electrostatics equations.  When charged particles interact, a force repels or attracts the particles.

## Coulomb's Constant Formula

$$\large{ k_e = \frac{ m_p \; l_p^3 } { q_p^2 \; t_p^2 } }$$
Symbol English Metric
$$\large{ k_e }$$ = Coulmbo's constant $$\large{\frac{lbf-ft^2}{F^2}}$$ $$\large{\frac{N-m^2}{C^2}}$$
$$\large{ q_p }$$ = Planck charge $$\large{C}$$ $$\large{A-s}$$
$$\large{ l_p }$$ = Planck length $$\large{ft}$$ $$\large{m}$$
$$\large{ m_p }$$ = Planck mass $$\large{lbm}$$ $$\large{kg}$$
$$\large{ t_p }$$ = Planck time $$\large{sec}$$ $$\large{s}$$