Drexel University  ENGR 231 Linear Engineering Systems, Fall 2011
Copyright 2011, Drexel University
Lab 7
Page 1
Lab 7 – Using MATLAB for Linear Systems Applications
Goals for Lab 7
1.
Show modeling applications for MATLAB and linear algebra.
2.
Emphasize and review saving data with for loops and using functions.
NOTE:
Although you will not be learning new concepts in this lab, you will be required to use
what you have learned over the previous weeks in modeling applications. Make sure you review
and are comfortable with the previous labs as you work through this and
MAKE SURE YOU
READ ALL DIRECTIONS AND INSTRUCTIONS!
Prelab Overview – Circuit Analysis
Section 1.10 of the textbook (Lay, page 95) describes how current flow in an electrical
circuit may be described by a system of linear equations. In the most basic sense, a voltage
source such as a battery forces a current of electrons to flow through the network. A portion of
the electrical power is consumed when the current passes through a resistor. This may represent
devices such as a light bulb or a heater. The electrical power increases with the electrical current
drawn by the device, so it is therefore of interest to know each current in the electrical circuit.
Give the electrical network in Figure 1, we wish to determine the electrical current (
I
2
)
going through the light bulb (circled R = 1 ohm resistor below). We do this by applying
Kirchoff’s Voltage Law to each of the individual loops.
30 V
4 Ω
4 Ω
3 Ω
1 Ω
R=1 Ω
5 V
1 Ω
20 V
1 Ω
1 Ω
Lightbulb
I
1
I
3
I
2
Figure 1. Electrical Circuit Diagram of Lab 7 Prelab.
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View Full DocumentDrexel University  ENGR 231 Linear Engineering Systems, Fall 2011
Copyright 2011, Drexel University
Lab 7
Page 2
Kirchoff’s Voltage Law (KVL) states that the sum of voltages in any closed loop of an
electrical circuit is zero. The arrows shown are loop currents and their directions can be chosen
arbitrarily. In addition, we use the following conventions:
1.
We sum in the direction of the arrows in each of the loops
2.
For
batteries
a.
The voltage is positive if we move from +
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 Fall '10
 OlehTretiak
 Equations, Truss, Circuit diagram, Electrical network

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