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Expt_17 - Lab-in-a-Box Experiment 17 An Integrator Circuit...

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Lab-in-a-Box Experiment 17: An Integrator Circuit Name: ______________________ Pledge: _____________________ ID: ______________________ Date: ______________________ Procedure Analysis: 1. Derive the input-to-output relationship of the amplifier circuit shown in Figure 1 as given in Eq (1). Which trim pot is required to have a unity gain over the desired operating frequency of 500 Hz to 3000 Hz? Note that the output of the circuit is negative. If a positive sawtooth is desired, you may use a unity gain op amp inverter circuit following the output of the integrator. O U T 1 + 3 - 2 V + 4 V - 1 1 U 1 A L F 3 5 6 R 3 1 0 k C 1 0 . 1 u 0 0 0 3 1 2 R 1 V 1 T D = 0 T F = 1 n s P W = 1 m s P E R = 2 m s V 1 = 1 T R = 1 n s V 2 = - 1 Figure 1: An ideal integrating op amp circuit. 2. Select the values of the components required such that the integrator circuit of Figure 2 will have a gain of unity at 1500 Hz. Determine the values of R 1 , R 2 , and R 4 based on the information provided in the Background. R 1 should be a trim pot, or a combination of a trim pot and a fixed resistor with sufficient range to allow the frequency of the output pulse train be varied from 500 Hz to 3000 Hz and still maintain unity gain at the operating frequency. Use a 0.1 μF capacitor for C 1 . Round your remaining component values to the nearest components available in your kit (see Appendix A). See footnote on page 145 of the text. 1 of 4
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Figure 2: A practical op amp integrator circuit. Modeling: 3. Using the component values determined in step 1, model the circuit of Figure 1 in PSpice. Use a bipolar ± 1.0 V amplitude pulse train as the input signal with frequencies (f) varying from 500 to 3000 Hz in steps of 500 Hz. For each frequency, adjust the value of R 1 to obtain an output signal of amplitude -1.0 V. Tabulate the values of R 1 for each frequency. Hint: instructions for sweeping a trim pot in PSpice may be found on the book WWW site at http://www.wiley.com/college/Hendricks. 4. Using your choice of a scientific graphing program (e.g., Excel or MATLAB), plot a graph (in log- log space) of the value of R 1 versus f. Do not plot data points, but only plot a line joining the data points. Save your graph for use in step 17.
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