---
title: "inductor"
source: https://www.jemoka.com/posts/kbhinductors_in_circuits/
---

voltage across a inductor \begin{equation} V = \epsilon = -L \dv{I}{t} \end{equation}
this is kind of a formulation of faraday&rsquo;s law.
\begin{equation} I(t) = \frac{V_0}{R_1} (1-e^{\frac{-t}{\frac{L}{R}}}) \end{equation}
energy stored in an inductor \begin{equation} E = \frac{1}{2} LI^{2} \end{equation}
