Coulomb's law

Coulomb's law describes the force experienced by a test charge $𝑄$ due to a single source charge.

⃗ 𝐅 = 1 4 𝜋 𝜖 0 𝑞 𝑄 𝔯 2 ˆ 𝖗

where $⃗ 𝖗$ is the vector from $𝑄$ to $𝑞$ .¹ The Principle of Superposition allows this to be generalised to a distribution of charge by

⃗ 𝐅 = 𝑄 4 𝜋 𝜖 0 ∭ ℝ 3 𝜌 (⃗ 𝐫') 𝔯 2 ˆ 𝖗 𝑑 𝜏'

It quickly becomes pertinent to introduce the idea of the Electric field.

#state/tidy | #lang/en | #SemBr

Footnotes