3-13. A 12.4-kV single-phase generator supplies power to a load through a transmission lin...

3-13. A 12.4-kV single-phase generator supplies power to a load through a transmission line. The load’s impedance is Z_load = 500∠36.87° Ω, and the transmission line’s impedance is Z_line = 60∠60° Ω.

(a) If the generator is directly connected to the load (Figure P3-3a), what is the ratio of the load voltage to the generated voltage? What are the transmission losses of the system?

(b) If a 1:10 step-up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage (Figure P3-3b)? What are the transmission losses of the system now? (Note: The transformers may be assumed to be ideal.)