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Introduction to Strain Gauges and Frequency Response in Circuits

This lecture covers Strain Gauge basics, Frequency Response, Bode Plots, Nonlinear Circuits, and Circuits Analysis with practical examples. Be cautious around the Strain Gauge apparatus. Breakpoint Values and power calculations in circuits are discussed. Reading assignments from chapters 9 and 1 are highlighted. The example circuit with R1, R2, C, and A values is illustrated along with Bode plot interpretations and frequency calculations.

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Introduction to Strain Gauges and Frequency Response in Circuits

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  1. EE100Su08 Lecture #13 (July 25th 2008) • Outline • MultiSim licenses: postponed to Monday, July 28th 2008 • Apparently our license number is not working! • Thanks for coming to lecture today! • HW #2: regrade deadline: Monday, 07/28, 5:00 pm PST. • Midterm #1 regrades: I will finish em by office hours today. • QUESTIONS? • Strain Gauge and Project: Lab Lecture • WARNING: BE REALLY CAREFUL AROUND THE STRAIN GAUGE SINCE THE APPARATUS “STICKS OUT” OF THE TABLE! • Frequency Response and Bode plots • Nonlinear circuits • Reading • Chapter 9 from your book (skip 9.10, 9.11 (duh)), Appendix E* (skip second-order resonance bode plots) • Chapter 1 from your reader (skip second-order resonance bode plots)

  2. R2 + + + C VIN AVT + VOUT  VT R1 Example Circuit A = 100 R1 = 100,000 Ohms R2 = 1000 Ohms C = 10 uF

  3. R2 + + + C VIN AVT + VOUT  VT R1 Example Circuit A = 100 R1 = 100,000 Ohms R2 = 1000 Ohms C = 10 uF

  4. R2 + + + C VIN AVT + VOUT  VT R1 Example Circuit A = 100 R1 = 100,000 Ohms R2 = 1000 Ohms C = 10 uF

  5. Break Point Values • When dealing with resonant circuits it is convenient to refer to the frequency difference between points at which the power from the circuit is half that at the peak of resonance. • Such frequencies are known as “half-power frequencies”, and the power output there referred to the peak power (at the resonant frequency) is • 10log10(Phalf-power/Presonance) = 10log10(1/2) = -3 dB.

  6. 1000 100 10 1 1000 100 10 1 Radian Frequency 0.1 Example: Circuit in Slide #2 Magnitude A = 100 Magnitude R2 = 1000 Ohms C = 10 uF A wp = 1/(R2C) = 100 Actual value =

  7. Bode Plot: Label as dB A = 100 R2 = 1000 Ohms Magnitude in dB C = 100 uF 60 A wp = 1/(R2C) = 100 40 20 0 1000 100 10 1 Radian Frequency -20 Note: Magnitude in dB = 20 log10(VOUT/VIN)

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