> [!summary] Charge density tells you how packed the charges are in a given space >[!info]+ Read Time **⏱ 1 min** # Definition Charge density tells us how packed the [[Charge|charges]] are in a given space. There are 3 types of charge densities, and they are useful in describing the amount of charges spread out in a given space. | Symbol | Type | Example | Units | Charge distrubution | Integration to find charge | | --------- | ------- | ------- | ---------------------------------------------------- | ---------------------- | -------------------------- | | $\lambda$ | Linear | Wire | [[Coulomb]] over meter ($\frac{c}{m}$) | $\lambda=\frac{q}{L}$ | $q=\int \lambda \cdot dl$ | | $\sigma$ | Surface | Sheet | [[Coulomb]] over meter squared ($\frac{c}{m^2}$) | $\sigma = \frac{q}{A}$ | $q=\int \sigma \cdot dA$ | | $\rho$ | Volume | Sphere | [[Coulomb]] over meter cubed ($\frac{c}{m^3}$) | $\rho=\frac{q}{V}$ | $q=\int \rho \cdot dV$ | # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/JKp0E8QvUP8?si=VxTg5XhB7EFuRoIn" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe> --- > 🧪 Think this could help someone else? [Star Math & Matter on Github](https://github.com/rajeevphysics/Obsidian-MathMatter) to help more learners discover it. ---