For the series$/$parallel combinational circuit shown below; calculate $1$

$($a$)$ Total impedance $Z$ in phasor form with $$ unit $($means in polar form, indicating both the amplitude and the angle$)$:

$($b$)$ Line current I generated by the source in phasor form.

$($c$)S=V{I}^{**}=P+iQ$ where $I^{**}$ is the complex conjugate of current $($means the angle is reversed in the polarity$)$; S is the complex power in VA$,$ P is the true $($real$)$ power in Watts, and Q is the reactive power in VAr. Calculate $S,P,Q,$ draw the power triangle, and show the power factor angle. Indicate Power Factor pf $=cos$ as Inductive, Resistive or Capacitive.