$(20$ points$)$ For the circuit in Fig.

Figure $2$:

$($a$)(5$ points$)$ Find the total impedance Z$\_($T$)$ in polar form.

$($b$)(5$ points$)$ Find the voltage E in polar form

$($c$)(5$ points$)$ Find the current I$\_($R$)$ and I$\_($L$)$ in polar form.

$($d$)(5$ points$)$ Draw the phasor diagram of the voltages I$\_($s$),$I$\_($R$),$ and I$\_($L$),$ and the voltage

E$.$