153L BME - Spring 2009
Homework 1: Circuits and Circuit Variables
Introduction
The problems for this week focus on basic circuit topology and variables.
Homework Format Guidelines
Please follow the guidelines below for homework solution presentation. It is required that you follow each guideline carefully. Following the format guidelines promotes accurate grade records and decreases the likelihood of lost assignments in the grading process. As you will find, it will also lead to reduced solution troubleshooting time. (1) Always draw the circuit or diagram for every homework problem involving a circuit or diagram. (2) You are required to label the elements with symbols (eg. R1 etc.), solve the problem symbolically first, and then plug in the numerical values. (3) Present your solutions to homework problems in the same order they are assigned. (4) Do NOT write down any numerical answer printed in the book if your work does not lead to it. (5) Staple in the upper left corner with your name, date, and assignment number, printed in the upper right corner. (6) You may work in pencil or pen (or tablet printout) but in any case, your work needs to be legible and needs to clearly demonstrate your train of thought. (7) You should clearly indicate final answers either by putting boxes or circles around them or some other easy-to-spot and professional-looking method. (8) Staple any required computer code or computer outputs to your problem solutions, making sure they are clearly labeled. Anytime you use code to solve a problem (MATLAB, xMaple, etc.) you must also include the relevant code and figures. (9) Be sure to properly label all graphs. This should include putting your NET ID in parentheses at the end of the title. (10) Note that each Part needs to be turned in separately.
Copyright 2009, Gustafson Hwk 1 1
BME 153L - Spring 2009
Assignment
Remember, each Part needs to be turned in so separately, when you turn in this particular assignment you should have three things to turn in, each stapled and with your name and NET ID clearly identified on at least the first page and at best each page.
Part I
(a) Chapter 2, Problem 2. (b) Based on Chapter 2, Problem 4 - instead of finding just the total charge, make a plot of the charge transferred as a function of time between 0 and 10 h. Instead of finding just the total energy, make a plot of the energy transferred as a function of time between 0 and h. Be sure to use proper labels. (c) Chapter 2, Problem 14. (d) Chapter 2, Problem 15.
Part II
(a) Chapter 2, Problem 20. (b) Chapter 2, Problem 25. (c) Chapter 2, Problem 28.
Part III
(a) Chapter 2, Problem 30. (b) Based on Chapter 2, Problem 31. Note: the load resistance RL is being changed here in order to facilitate the change in current IT . Instead of doing what is asked in the problem, (1) Find an equation that calculates the terminal voltage VT as a function of the ideal source voltage VS , the source resistance RS , and the measured terminal current IT . (2) Find an equation that calculates the necessary load resistance RL as a function of the ideal source voltage VS , the source resistance RS , and the measured terminal current IT . (3) Find an equation that calculates the power delivered to the load resistance as a function of the ideal source voltage VS , the source resistance RS , and the load resistance RL . (4) Assuming VS and RS are constant, determine the load resistance which maximizes the power delivered to the load and also determine that load. (c) Chapter 2, Problem 36. Once you have found the answer to part (e), find an appropriate resistor to order from an electronics parts supply company. In your homework document, specify the company from which you would order the part, the part name and number, and the cost.
Copyright 2009, Gustafson Hwk 1 2