Problem $5$: Your goal is to design a power delivery system that delivers power to a $15$ load. The load will be

at the end of a $5$ km long transmission line with a resistance of $20/$km$.$ The voltage needed at the load is $120$

Vrms $.$

a$)$ Find the voltage required at the source and the power efficiency of the system, $100$ load

source

P

P

$,$ when no

transformers are used in the circuit. $(5$ points$)$

b$)$ Assuming a single ideal transformer is utilized between the transmission line and the load, find the turns

ratio, N$,$ which would achieve a $98\%$ power efficiency while keeping the voltage at the source as small

as possible. The voltage at the load must still be $120$ Vrms $.(10$ points$)$