You are working as an electrical engineer designing transformers for transmitting power from a generating station producing 2.5 × 106 W to a city 120 km away. The power will be carried on two transmission lines to complete a circuit, each line constructed out of copper with a radius of 5.0 cm.
(a) What is the total resistance of the transmission lines?
(b) If the power is transmitted at 1200 V rms, find the average power dissipated in the wires.
(c) The rms voltage is increased from 1200 V by a factor of 150 using a transformer with a primary coil of 1000 turns. How many turns are in the secondary coil?
(d) What is the new rms current in the transmission lines after the voltage is stepped up with the transformer?
(e) How much average power is dissipated in the transmission lines when using the transformer?