In the circuit below, you know $R,C,L,$ and $V=V_0$expi$(t).($a$)$ Find the impedance $Z=Re(Z)+$iIm$(Z),$ that is$,$ write explicitly $Re(Z)$ and $Im(Z)$; $($b$)$ Find the current phasor $I=I_0$expi$(t-)$ through the battery, that is$,$ find $I_0$ and $.($c$)$ Find the phasors $I_R,I_C,$ and $I_L.$

$($d$)$ Above analysis is valid as long as $1-{}^{2}LC0.$ How much is $($a$),($b$),$ and $($c$)$ when

$1-{}^{2}LC0?$