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(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.

(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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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