$32.$ Assuming that $($a$)$ a circuit in which a $1$ Omega resistor, a $1$ F capacitor and a $1$ H inductor are connected in series is operating at w $=1$ rad$/$s and the manual coding protocol is established, find the magnitude and phase angle of the phasor current that generates a voltage of $1/30$V across the resistor. $($b$)$ Calculate the phasor voltage ratio across the resistor to the phasor voltage across the capacitor$-$inductor combination. $($c$)$ When the frequency doubles, recalculate the phasor voltage ratio across the resistor to the phasor voltage across the capacitor$-$inductor combination.