Quiz #1 F23

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Chandler-Gilbert Community College *

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202

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Electrical Engineering

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Dec 6, 2023

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docx

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EEE202 Circuits and Devices Quiz #1 Show all your work in the appropriate order. Circle all your answers. Names: 1) ___________________________, 2) __________________________________ 3) ____________________________, 4) ___________________________________ Problem 1: In this problem, we consider some issues associated with power loss (as heat) in high-voltage transmission lines. In particular, we consider the transmission of power from Page, Arizona (located near the Navajo Generating Station and the Glen Canyon Dam), to the Phoenix metropolitan area. This is a distance of about 260 miles. For this problem, we assume that the high voltage transmission lines have a resistance of 0.05 /mile; the resistance in the 260 mile transmission line is 13 . We model this system using the following circuit: The voltage source VS models the power generating facilities. The 13 resistor models the power transmission lines. RL models the load (users in the Phoenix metro area). Note that by controlling the amount of power dissipated by the load and by using transformers to step voltages up or down (which we will not discuss in detail in this class), the value of RL used to model the load can be varied. In this problem, assume that you can choose RL to be whatever is necessary to solve the problem. (a) Suppose first that VS = 400kV, and that the source should supply 800MW to the circuit. 5 points each i. Find the value of RL so that the power supplied by the source is 800MW. ii. For this value of RL , what is the power dissipated by the transmission line (the 13 resistor)? iii. What percentage of the power supplied by the source is dissipated by the transmission line? (b) Now consider a lower source voltage of VS = 200kV. 5 points each i. Find the value of RL so that the power supplied by the source is 800MW. ii. For this value of RL , what is the power dissipated by the transmission line? iii. What percentage of the power supplied by the source is dissipated by the transmission line? How does this compare to a source voltage of 400kV? (c) Using the results of items, parts a and b, determine which source voltage would transmit power most efficiently: 1kV or 100MV. 5 points V s R L 1 3
Problem 2: A contractor for Coyote Solar has reached out to your design team in need of some help regarding the solar panel configuration and battery module configuration at the house where they are doing an installation. The lead contractor has drawn up the circuit diagram for each configuration. a. The solar panels shown, are acting as independent current supplies for the home office, which is represented by a set of parallel resistors. The direction of the supplied current is labeled on each bank of solar panels. On a cloudy day, the panels are delivering 4A and 1A of current (as shown below). If the 1 resistor represents the desktop computer, the 2 resistor represents the laptop computer, and the 6 resistor represents the printer: - What is the current through the desktop computer? (2 points) - What is the current through the laptop computer? (2 points) - What power level is the desktop running at? (2 points) - What power level is the laptop running at? (2 points) - If the goal is to improve energy efficiency (using less energy) and both computers are running for the same amount of time , which computer is the more energy efficient choice and why ? (2 points) Hint : this circuit is a “single node pair”. Desktop Computer Laptop Computer Printer
b. Battery modules (like the Tesla Powerwall) are used as storage devices for any unused daily solar power. A 6V and a 10V battery module are connected to the house, represented as a resistive circuit, shown below. If the 6 resistor represents the television: - What is the voltage across the television ? (5 points) - How long (in hours) can the television be turned on if only 5.4kJ of energy (total) from the battery modules can be used for the television? (5 points) - Keep in mind, 1 Watt = 1 Joule/sec OR sec = Joule/Watt Hint : this circuit is a “single loop”. Television
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