4.1.9. Exercises¶
Prove that the Laplace transform of Aest equals A/(s+a).
What is the transfer function H(s)=Uout(s)Uin(s) for the electronic scheme shown below.
![\draw
(0,1) node[anchor=east]{$u_{\mbox{in}}(t)$}
(0,2) to[C, l=$10\mu F$, o-] (2,2)
(2,2) to[generic, l=$8\Omega$] (2,0)
(2,2) to[short, -o] (4,2)
(0,0) to[short, o-o] (4,0)
(4,1) node[anchor=west]{$u_{\mbox{out}}(t)$};](../../_images/tikz-f49081bab8318daa03195d3d18b27dc5666f2205.png)
Plot the frequency response of the filter sketched above.
Prove that the Laplace transform of Aest equals A/(s+a).
What is the transfer function H(s)=Uout(s)Uin(s) for the electronic scheme shown below.
Plot the frequency response of the filter sketched above.