Electro Magnetism for tinkerers

Tl;DR

Intro

This (\sigma(z) = \frac{1}{1 + e^{-z}}) is an inline expression.

$$F(\omega) = \int_{-\infty}^{\infty} f(t), e^{-j \omega t} , dt$$

$$ \begin{aligned} \nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} \ \nabla \cdot \mathbf{B} &= 0 \ \nabla \times \mathbf{E} &= -\frac{\partial \mathbf{B}}{\partial t} \ \nabla \times \mathbf{B} &= \mu_0 \left( \mathbf{J} + \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t} \right) \end{aligned} $$

Electrical Engines