강의노트 2차지연요소

$$v(t) = R i(t) + L \dfrac{di(t)}{dt} + \dfrac{1}{C} \int i(t)$$

$$V(s) = R I(s) + Ls I(s) + \dfrac{1}{C} \dfrac{I(s)}{s}$$

$$V(s) = \left( R + Ls + \frac{1}{Cs} \right) I(s)$$

$$\begin{aligned} G(s) &= \dfrac{I(s)}{V(s)} &= \dfrac{1}{\left( R + Ls + \dfrac{1}{Cs} \right)}\\ &= \dfrac{Cs}{\left( LCs^2 + RCs + 1 \right)} &= \dfrac{\dfrac{1}{L}s}{\left( s^2 + \dfrac{R}{L}s + \dfrac{1}{LC} \right)} \end{aligned}$$