\[U_{-} = U_{+} = U_{vahvIN} \\

U_{vahvIN} = U_{IN} -R_{4}I  \\ \\

I = \frac{(U_{IN} - U_{GRND})}{(R_{4}+R_{3})} \\ \\ \\\ \\





I_{R1}= \frac{U_{-}}{R_{1}} \\ \\

U_{vahvOUT}-R_{2}I = U_{-} \Leftrightarrow U_{vahvOUT}= U_{-}+ \frac{R_{2}}{R_{1}}U_{vahvIN} = \frac{R_{1}+R_{2}}{R_{1}}U_{vahvIN}


\\ \\

vahvistuskerroin A \\
A=1+\frac{R_{1}}{R_{2}}    \\  \\

\\ \\ \\ \\
u= U(1-e^{(\frac{-t}{RC})}) \\

t= \frac{-t}{RC}\ln(1-\frac{u}{U}))\]