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z?p_hJ!^h`-rl4+7aq)uKtj|=(g;Moj@pN%Dad!1|{y>nAhy4RE8X74jX{7%K&7I4u literal 0 HcmV?d00001 diff --git a/D4/ReserveTing.tex b/D4/ReserveTing.tex new file mode 100644 index 0000000..0e16855 --- /dev/null +++ b/D4/ReserveTing.tex @@ -0,0 +1,14 @@ +\begin{align} + H &= \frac{V_{ut}}{V_{inn}} \label{eq:frekvensresponsStart}\\ + |H| &= \sqrt{\text{Re}\left(H\right)^2 + \text{Im}\left(H\right)^2} \label{eq:amplituderesponsStart} +\end{align} + +Vi kan bare regne ut $H$ direkte, fordi vi bare deler vekk $V_{inn}$ + +\begin{align} + H &= \frac{-j\frac{1}{\omega C} + j\omega L}{R-j\frac{1}{\omega C} + j\omega L} \nonumber\\ + &\phantom{1}\vdots \qquad\text{Regner ut og forenkler uttrykket} \nonumber\\ + H &= \frac{\left(\omega L - \frac{1}{\omega C}\right)^2}{R^2 + \left(\omega L - \frac{1}{\omega C}\right)^2} + j\frac{R\left(\omega L - \frac{1}{\omega C}\right)}{R^2 + \left(\omega L - \frac{1}{\omega C}\right)^2} +\end{align} + +Finner deretter amplituderesponsen diff --git a/D4/Teknisk notat 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