A given differental eapacitive vensor is avalable that is based on the vartarion in plate distance and whose movable plate is grounded. In order to obtain a groundreferenoed ourput signal proportional to the inpur displacenient in the circuits shown: Asstume that the op$-$arips are ideal. Determine the conditions to be filfilled by resistots and capacitors in the circuit in order that the output voltage is directly proportional to the displacement and independent of orcillation frequency.

Note: for a variable plate reparation:

$\backslash (\backslash$mathrm$\{$CI$\}=\backslash$frac$\{\backslash$mathrm$\{$Co$\}\}\{\backslash$mathrm$\{$I$\}-\backslash$mathrm$\{$x$\}\}\backslash$quad $\backslash$& $\backslash$mathrm$\{$Cl$\}\_\{2\}=\backslash$frac$\{\backslash$mathrm$\{$Co$\}\}\{1+$x$\}\backslash$quad $\backslash )$ where x is the displacement