The second$-$order circuit shown below has the source voltage $V_s=220V,$ inductance $L=10mH,$ capacitance $C=8F,$ and resistance $R=25.$ The initial conductor current $I_{LO}=0$A and the initial voltage of the capacitance is $V_{c0}=0V.$ The switch is closed at $t=0.$ The expression of the current is:

Select one:

a$.,i(t)=12\mathrm{.}43e^{-2200.t}sin(4226t)$

b$.,i(t)=6\mathrm{.}65e^{-1250.t}sin(3307t)$

c$.$ none of these

d$.i(t)=9\mathrm{.}36e^{-2200.t}sin(5893t)$

e$.,i(t)=8\mathrm{.}69e^{-2850.t}sin(3252t)$