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Homework Assignment #10Power Circuits and Digital Logic1. You are designing Christmas lights. If you twelve (12) lights on a string and have each light burn with 50W of power, what should the resistance of each light be if:A. The lights are wired in series:B. The lights are wired in parallel:C. Which circuit (A or B) draws more current? D. Which circuit draws more total power?E. Which would make a better consumer product? Why?2. In the remote village of Faseu, Papua New Guinea, a small micro-hydroelectric generator produces power at 240 V. The spring fed water source of this remote village supplies very cold water to the people. Because the water is cold and heating itis difficult (the only other way is to build a fire), people don’t bathe as often as is desired.You assignment is to design a hot water heater to use a resistive heating element for this 240 V system. To heat the water sufficiently quickly, you want 5000 W of power (5 kW). What must the resistance of the heating element be?3. View the video called “Electric Power: A New Generation” found at the Power Engineering Society website given below:http://www.ece.mtu.edu/faculty/ljbohman/peec/Dig_Rsor.htmA. Name three types of alternative energy systems mentioned in the video.B. Name three types of “non-traditional” engineering jobs that engineers can pursue that are mentioned in the video (for example, policy making).C. Name three types of engineering specialists that may work in the power industry (for example, computer software specialists, electronics engineers).4. Evaluate the digital logic circuit and complete the truth table for a, b, c, d, e, and f..a, b, and c are inputs, d and e are intermediate states, and f is the output.4. Draw a digital circuit to produce the output f, where a, b, and c are inputs: cbaf  )(5. Draw a digital circuit to produce the output f, where a, b, and c are inputs: )()( cbbaf 6. Write a Boolean expression (like in problems 5 and 6) for f in terms of a, b, and c for problem


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