Engr 231 Lab7

Engr 231 Lab7 - Drexel University - ENGR 231 Linear...

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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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Drexel 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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Engr 231 Lab7 - Drexel University - ENGR 231 Linear...

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