Q$5)$ Transformer Analysis $[10$ Marks$]$:

An $8$:$1$ transformer is loaded with $40+j25$ on the secondary side and connected to a $480$ V ms source through a $500$ resistance on the primary side, as shown below.

a$)$ Determine the rms voltage phasor $V_2[1]$

b$)$ Determine the rms current phasor $I_2[1]$

c$)$ Determine the rms current phasor $I_1[1]$

d$)$ Determine the input impedance $Z_L^{\text{'}}$ seen from the primary side $[1]$

e$)$ Determine the power in the load resistance, $R_L,$ in watts $[1]$

f$)$ Determine the power delivered by the source in watts $[1]$

g$)$ Draw the equivalent circuit referred to the primary side, and the equivalent circuit referred to the secondary side $[3]$

h$)$ In the figure below, if the source, $V_S,$ was removed and a DC ohm meter was connected in its place, what would it measure in ohms? $[1]$