---
title: "Coulomb's Law"
source: https://www.jemoka.com/posts/kbhcoulomb_s_law/
---

coulomb&rsquo;s law is a principle that deals with the force that two charged particles exhibit to each other.
constituents \(k\), Coulomb&rsquo;s Constant, found roughly to be \(9 \times 10^{9} \frac{N m^{2}}{C}\) \(q_{1,2}\), the charge of the two particles you are analyzing \(r\), distance between particles requirements \begin{equation} \vec{F_{E}} = k \frac{q_1q_2}{r^{2}} \end{equation}
additional information interpreting signs on \(F_{e}\) negative: attraction force between changes (the points have opposite signed charges, and so attract) positive: repulsion force between changes (the point have the same signed change, so repel) alternative formulation of Coulomb&rsquo;s Law The law is often redefined with the language of the premittivity of free space:
\begin{equation} \vec{F_{E}} = \frac{1}{4\pi \epsilon_{0}} \frac{q_1q_2}{r^{2}} \end{equation}
superposition The net electric force on a test change is simply the sum of the electric forces which other particles exhibit on the test change. That is:
\begin{equation} F_{on\ 2} = F_{1 \to 2} + F_{3 \to 2} \end{equation}
