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Expt_16

# Expt_16 - Lab-in-a-Box Experiment 16 A Differentiator...

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Lab-in-a-Box Experiment 16: A Differentiator Circuit Name: ______________________ Pledge: _____________________ ID: ______________________ Date: ______________________ Procedure Analysis: 1. Derive the input-to-output relationship [Eq (1)] of the amplifier circuit shown in Figure 1. Which trim pot is required such that the circuit may be adjusted to have a unity scaling factor for a sine wave at 1500 Hz? Note: for most effective operation, the desired resistance should be near the middle of the range of the trim pot. V + 9 V d c R 2 1 0 k V - 9 V d c U 1 u A 7 4 1 3 2 7 4 6 1 5 + - V + V - O U T O S 1 O S 2 C 1 0 . 1 u V 3 F R E Q = 5 0 0 V A M P L = 5 V O F F = 0 R 1 Figure 1: An ideal differentiating op amp circuit. 2. Calculate the component values required such that the differentiator circuit of Figure 2 will have unity gain at 1500 Hz ( 1 1 1 R C ϖ = ) and will have cut-off or corner frequencies of 3000 Hz ( 2 1 1 R C ϖ = )and 5000 Hz ( 1 2 1 R C ϖ = ) for the series resistor R 1 and the feedback capacitor C 2 , respectively. 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). Which trim pot is required to achieve the desired amplifier performance? Note: the cutoff frequencies do not correspond to -3 dB frequencies.

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R 1 U 1 u A 7 4 1 3 2 7 4 6 1 5 + - V + V - O U T O S 1 O S 2 R 3 1 0 k R 2 C 1 0 . 1 u C 2 V + 9 V d c V 3 F R E Q = 1 5 0 0 V A M P L = 5 V O F F = 0 V - 9 V d c Figure 2: A practical differentiator circuit. Modeling: 3. Using the component values determined in step 1, model the circuit of Figure 1 in PSpice for a 5.0 V amplitude sine wave 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 5.0 V. Hint: instructions for sweeping a pot in PSpice may be found on the book WWW site at http://www.wiley.com/college/Hendricks . Record screen shots of your schematic and of your PSpice simulation results for 500 Hz. Also record in a table the value of R 1 at each frequency that yields unity gain for the PSpice simulation.
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