(a) A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in the figure above. The city is represented by resistance RL, and each of the two wires of the transmission line between the generating station and the city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of 10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b) what fraction of the power generated by the generating station is used by the city.

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Clarifications on this problem:
.
The power dissipated in R₁ is 10 MW.
The voltage across R₁ is 250 kV.
For (b), the "fraction" being sought is the power dissipated in R₁ divided by the total power
generated by the station (Vo).
Exercise 2.1.2
Vo
Station
RTL
RTL
RL (city)
About
-2000 km-
(a) A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in the figure above. The
city is represented by resistance R and each of the two wires of the transmission line between the generating station and the
city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of
10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b) what fraction of the
power generated by the generating station is used by the city.
Transcribed Image Text:Clarifications on this problem: . The power dissipated in R₁ is 10 MW. The voltage across R₁ is 250 kV. For (b), the "fraction" being sought is the power dissipated in R₁ divided by the total power generated by the station (Vo). Exercise 2.1.2 Vo Station RTL RTL RL (city) About -2000 km- (a) A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in the figure above. The city is represented by resistance R and each of the two wires of the transmission line between the generating station and the city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of 10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b) what fraction of the power generated by the generating station is used by the city.
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