ECE103 Spring Homework 1
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1 ECE103 Spring 2015 Homework 1 Due Tuesday January 29 in class. Show all your work; all problems must be properly solved and assumptions justified. A list of results is NOT acceptable. Solve the homework on separate sheets of paper, i.e. not this paper, and preferably on engineering paper. 1- Find the charge and sketch its waveform when the current entering a terminal of an element is as shown in the figure below. Assume that q(t)=0 for t<0. The vertical axis represents the current in A and the horizontal axis time in s Find the charge that has entered the terminal of an element from t = 0 s to t = 3 s when the current entering the element is shown in the figure below. The vertical axis represents the current in A and the horizontal axis time in s
2 3- The figure shows four circuit elements identified by letters A, B, C and D a- Which of the devices supply 12 W of power? b- Which of the devices absorbs 12 W of power? 4- The following figure shows a circuit where all the element currents and voltages are specified. Are these voltages and currents correct? Justify your answer 5- For the circuit shown in the figure, a) determine which components are absorbing power and which are delivering power. b) Is conservation of energy satisfied? Explain your answer
3 6- A lightning bolt carried a current of 20kA and lasted 100ms. The voltage between the clouds and the ground is V. Determine the total charge transmitted to the earth and the energy released 7- A 12V battery requires a total charge 40 Ah during recharging. What energy is supplied to the battery? 8- How much energy does a 10HP motor deliver in 30 minutes? Assume that 1HP (horsepower) equals 746W 9- A 600W TV receiver is turned on for 4 hours with nobody watching it. If electricity costs $0.10/kWh, how much money is wasted? 10- An electroplating bath as shown in the figure is used to plate silver uniformly onto objects like kitchenware. A current of 600 A flows for 20 minutes and each coulomb transports mg of silver. What is the weight of silver deposited in grams?
4 ECE103 Spring 2015 Homework 2 Due Thursday February 5 in class. Show all your work, all problems must be properly solved and assumptions justified. A list of results is NOT acceptable. Solve the homework on separate sheets of paper, preferably engineering paper. Do not solve the homework in this page. 1- A certain device has a voltage difference of 5V across it. If 2A of current is flowing through it from its (-) voltage terminal to its (+) terminal, is the device a power supplier or a power recipient, and how much energy does it supply or receive in 1 hour? 2- For each of the 8 devices in the circuit determine if the device is supplying or receiving power and how much power is supplying or receiving. 3- Given the following circuits find (a) the current I and the power absorbed by the resistor and (b) the voltage across the current source and the power supplied by the source.
5 4- Write KCL equations for each node in the following circuit 5- Using the rules for parallel and series connection simplify the following circuit and determine Vx and the power absorbed in the 8 Ω resistor 6- In the circuit shown in the figure below determine all the indicated currents. Hint: Use parallel and series connection rules to simplify the circuit.
6 ECE103 Spring 2015 Homework 3 Due Thursday February 12 in class. Show all your work; all problems must be properly solved and assumptions justified. A list of results is NOT acceptable. Solve the homework on separate sheets of paper, i.e. not this paper, and preferably on engineering paper. 1- The potentiometer (variable resistor) R x in the figure below is to be designed to adjust the current I x from 5A to 10 A. Calculate the values of R and R x to achieve this 2- Design problem You are designing a Christmas tree light set, to be strung on a tree in your backyard, that will operate from a 6-V battery. The heavy-duty rechargeable battery you selected can provide a continuous 9A of current for a 4-hour period of operation each night before being completely drained. Design a set of lights that are configured in a parallel arrangement that will match the performance specifications of your battery. The resistance of each bulb is 12 Ω. Design for the case of the maximum number of lights. 3- Find the equivalent resistance of the following networks.
7 4- Using nodal analysis solve for the following circuits. 5- The circuit below is Wheatstone bridge. Is used to implement an electronic scale. A strain gauge employing a high sensitivity flexible resistor can measure small deflections caused by weight. As the weight deflects the surface on which the resistor is attached the resistor stretched in length causing its resistance to increase from the nominal value R (no weight) to R+ ΔR. The other three resistors in the circuit are identical and equal to R. Find an approximate expression for V out (the voltage difference between nodes 1 and 2) for ΔR/R<<1.
8 6- The circuit in the figure is used to control a motor such that the motor draws currents 15A,10A and 5A when the switch is in HIGH, MEDIUM and LOW positions respectively. The motor can be modeled as a load resistance of 20 mω. Determine the series resistances R 1, R 2 and R 3.
ECE103 Spring Homework 1
ECE103 Spring 2015 Homework 1 Due Tuesday January 29 in class. Show all your work; all problems must be properly solved and assumptions justified. A list of results is NOT acceptable. Solve the homework
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