$(15$ 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 current I and the voltages V$\_($R$)$ and V$\_($L$)$ in phasor form.

$($c$)(5$ points$)$ Draw the phasor diagram of the voltages E$,$V$\_($R$),$ and V$\_($L$),$ and the current I.