Electrodynamics MOC

Coulomb’s law

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

⃗𝐅=14𝜋𝜖0𝑞𝑄𝔯2ˆ𝖗

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=𝑄4𝜋𝜖0∭ℝ3𝜌(⃗𝐫′)𝔯2ˆ𝖗𝑑𝜏′

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

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tidy | en | SemBr

Footnotes

1. 2013. Introduction to electrodynamics, p. 60 (§2.1.2) ↩