PE Integrated Concepts Hydroelectric generators (see

Chapter 15, Problem 63PE

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QUESTION:

PE Integrated Concepts Hydroelectric generators (see Figure 20.43) at Hoover Dam produce a maximum current of 8.00×103 A at 250 kV. (a) What is the power output? (b) The water that powers the generators enters and leaves the system at low speed (thus its kinetic energy does not change) but loses 160 m in altitude. How many cubic meters per second are needed, assuming 85.0% efficiency?

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QUESTION:

PE Integrated Concepts Hydroelectric generators (see Figure 20.43) at Hoover Dam produce a maximum current of 8.00×103 A at 250 kV. (a) What is the power output? (b) The water that powers the generators enters and leaves the system at low speed (thus its kinetic energy does not change) but loses 160 m in altitude. How many cubic meters per second are needed, assuming 85.0% efficiency?

ANSWER:

Step-by-step solution Given: Current =8.00×10 A 3 Voltage=250 kV Height = 160 m efficiency= 85.0% 3 Density of water=1000 kg/m Acceleration due to gravity = 9.8 m/s 2 Calculate: Power output= Mass of water = Volume of water= Step 1 of 4 We know that power output of the dam is calculated as given by equation (1) as below P = I V……………………..(1) Here, I is the current and V is the supplied voltage.

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