Q$2)$ AC Circuit analysis $[10$ Marks$]$:

The circuit below is assumed to operate at a frequency of $88$ MHz $.$

a$)$ Calculate the inductors, $L_1,L_2,$ and capacitor, $C,$ impedances. $[3]$

b$)$ Calculate the admittance to the right of X and $Y,Y_{xY}?[2]$

c$)$ Calculate the admittance, $Y_{\text{a}\text{d}\text{d}},$ that is required to be added to make $Y_{AB}$ purely real. $[3]$

d$)$ Does $Y_{\text{a}\text{d}\text{d}}$ represents a capacitor or inductor? What is the required component value?$[2]$