Answer to Question #61804 in Physics for Sakura

Question

A generating station is producing 4.00X10^6W of power that is sent to a city located 45.0km away. The engineers must decide on the most efficient way to send this power along the transmission lines, which have a resistance of 0.500Ω. One option is to send the power at 2.40X10^3V and save the cost of building a transformer at each end of the lines. A second option is to step up the voltage using a 100:1 step-up transformer, send the power, and then step down the voltage to 2400V.
a)Determine the current in the transmission lines if the first option used.
b)Determine the power lost in transmission lines if the first option is used.
c)If a 100:1 step-up transformer is used to raise the voltage before the power is transmitted, at what voltage is the power transmitted then?
d)Determine the current in the transmission lines after the voltage has been stepped up as described in part (c).