The components in this filter have values R$1=5$k$,$ R$2=1\mathrm{.}1$k$,$ and C$=14$F$.$

$($a$)$ This filter's voltage gain in the frequency domain,

GV$($j$)=$

V$0($j$)$VS$($j$)$

$,$

may be written as A$$

$1+$ s$/11+$ s$/2$

$,$ where A is a constant, s $=$ j$,$ and $1$ and $2$ are two break frequencies. Determine their values.

A $=$

$1=$ rad$/$s

$2=$ rad$/$s

$($b$)$ Determine the low$-$ and high$-$frequency limiting values of GV$($j$).$

GV$($j$0)=$

GV$($j$)=$

$($c$)$ What kind of filter is this?

high$-$passlow$-$pass$$