---
title: "faraday's law"
source: https://www.jemoka.com/posts/kbhfaraday_s_law/
---

We have that:
The change in volts in a relationship to the magnetic flux.
\begin{equation} \epsilon = \oint \vec{E} \cdot \dd{\vec{l}} = - \dv{\Phi_{b}}{t} \end{equation}
where, \(\Phi_{b}\) is the magnetic flux, namely how much magnetic field is through a surface:
\begin{equation} \Phi_{b} = \int \vec{B} \cdot \dd{\vec{A}} \end{equation}
usually, this is just \(BA\).
Note! This tells us that the EMF (electric field per length) is just negative the change of magnetic flux.
