$($a$)$ In a first order passive low$-$pass RC filter, having a cutoff frequency of $\backslash (2\backslash$mathrm$\{$kHz$\},\backslash$mathrm$\{$C$\}=80\backslash$mathrm$\{$nF$\}\backslash ).$ Determine $\backslash ($ R $\backslash ).$

$($b$)$ For $($a$)$ develop a fully labeled BODE PLOT.

$($c$)$ Show how you will convert the filter in $($a$)$ to a High Pass Filter. Will the cutoff frequency change?

$($d$)$ Will the BODE PLOT for $($c$)$ going to be same as the one you had drawn in $($b$).$ If not, draw a fully labeled BODE PLOT for $($c$).$