$[$Q$6]$ Given circuit with the following data $Ls=12uH,$ capacitor discharge current $I_{TD}=8A,R_{\text{L}\text{o}\text{a}\text{d}}=10$Ohm;$L_{\text{L}\text{o}\text{a}\text{d}}=50uH,$ Cak$=20$ pF $,$ and $Vs=200V.$ The damping ratio $=70\%.$ The circuit is illustrated on fig$\mathrm{.}6.$

Determine Rs$,$ Cs$,$ and $($dv$/$dt$)$max