Pre6_fall10-1

Pre6_fall10-1 - ME365 PRELAB-EXPERIMENT 6 Fall 2010 SYSTEM...

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ME365 PRELAB-EXPERIMENT 6 Fall 2010 SYSTEM IDENTIFICATION In Lab 6, you will be examining time and frequency domain techniques for identifying systems by studying the properties of an RLC circuit. Prior to completing this prelab, you will need to read Chapter 6 in the course notes. The RLC circuit being studied in this lab is given in Figure 1 below. R L C V in (t) V out (t) Figure 1. RLC circuit. 1. The RLC circuit exhibits primarily second order behavior. Derive the equation for V out /V in in terms of R, L, and C. Compare your expression to the following form to obtain K, ω n , and ζ for the circuit in terms of R, L, and C. K, ω n , and ζ are the sensitivity, natural frequency, and damping ratio of the system respectively. 2 12 out in nn VK V j (Hint: The complex resistances are: Resistor R, Inductor jωL, Capacitor 1/(jωC). Use these
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Pre6_fall10-1 - ME365 PRELAB-EXPERIMENT 6 Fall 2010 SYSTEM...

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