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ME530241_2009_Lab_02 - ME 530.241 Electronics and...

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ME 530.241: Electronics and Instrumentation Lab 2: Resistor Networks and Equivalent Circuits Louis L. Whitcomb and Kyle B. Reed * Department of Mechanical Engineering The Johns Hopkins University Spring 2009 Apparatuses DC power supply, multimeter, leads, breadboard. Components Various resistors. Overview The purpose of this lab is to validate experimentally basic concepts from resistor network analysis, including Kirchhoff’s laws, the node-voltage method, and Th´ evenin and Norton equivalent circuits. In this lab, we will use the circuit below to explore the basics of resistor networks. a d e c b o a c V = V -V Figure 1: A simple resistor network. In your prelab, you should have derived mathematical expressions for V a , V b , V c , and V o assuming that V s 1 , V s 2 , R 1 , R 2 , R 3 , R 4 , and R 5 are known. You will need to refer to those expressions throughout this laboratory. When taking measurements, use consistent significant digits, include units, and carry these through to your calculations. Your power supply should remain off until asked to turn it on. * c 2009 Noah J. Cowan, Louis L. Whitcomb, and Kyle B. Reed – do not reproduce without permission. 1
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1 Pre-Lab Exercises For the following questions, assume that V s 1 , V s 2 , R 1 , R 2 , R 3 , R 4 , and R 5 are known. You will need to refer to those expressions throughout this laboratory. Refer to your lecture notes and Chapter 2 of 1. Exercise 3.7 of [1]. 2. Exercise 3.8 of [1]. 3. This question relates to “Part 1: Nodal Analysis” of the Lab 2; see Figure 1 of Lab 2. (a) By inspection, what are the voltages at nodes d and e (relative to ground, - | ). (b) Using the Node Voltage method, setup a system of linear equations in terms of nodes a , b , and c . (c) Solve the system of equations to find mathematical expressions for V a , V b , and V c . (d) Derive and expression for V o , in terms of known quantities.
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