Transient Part $($a$),$ use Diagram P$12\mathrm{.}25.$ A parallel RLC circuit needs to be critically damped. The equivalent has $\backslash (\backslash$mathrm$\{$R$\}=3\backslash$mathrm$\{$k$\}-\backslash$mathrm$\{$Ohm$\},\backslash$mathrm$\{$L$\}=350\backslash$mathrm$\{$mH$\}\backslash )$ and you need to calculate the capacitance that will satisfy this condition. Give the answer in nF $($nano Farads$)$

Transient Part $($b$).$ The initial vC$(0-)=56$ volts $.$ Immediately after the switch closes, what is the current in the resistor $\backslash (\backslash$mathrm$\{$R$\}\backslash$left$(0^\{+\}\backslash$right$)\backslash )$in Amperes?

Transient Part $($c$).$ Immediately after the switch closes, which is the initial current in the inductor iL$(\backslash (0+\backslash ))$ in Amperes?