Figure P22.71 shows a power station (represented by the AC source) connected to a power line R

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Figure P22.71 shows a power station (represented by the AC source) connected to a power line Rline and a city represented by Rcity. Suppose the power line has a resistance of 0.30 V/km and is 500 km long, and the current in the line is 1000 A.
(a) If the voltage at the power station is 800 kV (rms), what is Rcity? Also find the voltage at the city, the power delivered to the city, and Pline/Pcity (the ratio of the power dissipated in the line to the power dissipated in the city).
(b) Repeat part (a), but now assume the voltage at the power station is 400 kV (rms). Your answer for Pline/Pcity will illustrate again why it is preferable to use high voltages to transmit electrical power over long distances.


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