Question$3[12$ marks$]$ In the circuit in the fig $3$:

a$.$ Find the value of $\backslash (\backslash$mathrm$\{$Z$\}\_\{\backslash$mathrm$\{$L$\}\}\backslash )$ that will receive maximum power from the circuit.

b$.$ Calculate the power delivered to the load.

c$.$ Show that the complex power, average power and reactive power which are delivered to the load is equal to power are dissipated in circuit elements. $($Hint use Thevenin equivalent circuit$)$

d$.$ Repeat a and b if load is pure resistive.

Fig. $3$