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 nodevoltage 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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PreLab 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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 Spring '09
 Okamura
 Mechanical Engineering, SEPTA Regional Rail, Jaguar Racing, Electrical impedance, Thévenin's theorem, Norton's theorem, Norton equivalent circuits

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