> [!summary] Resistivity measures the reduction of current in materials Conductivity measures how easily current is through materials > Key equations: > Resistivity in a material: $\rho=\frac{\vec E}{J}$ > Conductivity in a material: $\sigma = \frac{J}{\vec{E}}$ >[!info]+ Read Time **⏱ 1 min** # Resistivity Resistivity is how strongly a material reduces the flow of electrons. Materials that have resistivity properties are due to their insulating properties. Mathematically, resistivity is defined as the [[Electric Fields|electric field]] over [[Current Density|current denisty]] $\rho=\frac{\vec E}{J}$ # Conductivity Conductivity is how much a [[Current Density|easily charges]] can move through a material. Mathematically is defined as the inverse of the resistivity of the [[Current Density|current density]] over [[Electric Fields|electric field]]. $\sigma = \frac{J}{\vec{E}}$ --- > 📚 Like this note? [Star the GitHub repo](https://github.com/rajeevphysics/Obsidan-MathMatter) to support the project and help others discover it! ---