Coulomb’s Law
Definition
\(\vec{E}(\vec{x}) = \frac{1}{4\pi\varepsilon_0}\int\frac{\vec{x}-\vec{x}'}{|\vec{x}-\vec{x}'|^3}\rho(\vec{x}')\:d^3x' = \frac{1}{4\pi\varepsilon_0}\int\nabla\frac{-1}{|\vec{x}-\vec{x}'|}\rho(\vec{x}')\:d^3x'\)
\(\vec{E}(\vec{x}) = \frac{1}{4\pi\varepsilon_0}\int\frac{\vec{x}-\vec{x}'}{|\vec{x}-\vec{x}'|^3}\rho(\vec{x}')\:d^3x' = \frac{1}{4\pi\varepsilon_0}\int\nabla\frac{-1}{|\vec{x}-\vec{x}'|}\rho(\vec{x}')\:d^3x'\)
Created: 2023-06-25 Sun 02:31