tran dang experiment 16

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Objective:

Experiment 17

A Differentiator Circuit

Lab Prepared By:

Lab Instructor:

Date Performed:

Dang Tran

Kathleen Meehan

4/17/2012

investigate the input-to-output relationship of an op

amp differentiator circuit.


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Derive input-to-output relationship 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

To obtain a unity scaling factor for a sine wave at 1500 Hz:

Rtrimpot = 1.061 kOhm

R1 1.061 kOhm

R2

531 Ohm

C1 0.1 F

C2 0.03 uF

Trimpot to be used for R1

R1 Trimpot 10 kOhm

Analysis

Calculated component values

V_o = -R1*C1*omega*V_i*(t-pi/2)

10 kOhm


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wave at 1500 Hz?


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To attach calculation either insert a text box or picture of tablet-written calculations.


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Attach the required Pspice circuits and outputs

Frequency (f_unity)

500 Hz

1000 Hz

1500 Hz

2000 Hz

2500 Hz

3000 Hz

Practical differentiator

Complete the following tabl


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Ideal Differentiator


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Value of R1to obtain unity

gain: Ideal Differentiator

Value of R1to obtain unity

gain: Practical

Differentiator

6 kOhm 3 kOhm

3 kOhm 1.8 kOhm

2.2 kOhm 1.25 kOhm

1.6 kOhm 1 kOhm

1.25 kOhm 900 Ohm

1.05 kOhm 820 Ohm

e using the results from the PSpice simulations


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Frequency Trim pot Resistance Phase shift

500 320 Ohm -90 degrees

1000 1.52 kOhm -89.9 degrees

1500 1.01 kOhm -89.6 degrees

2000 755 Ohm -89.3 degrees

2500 605 Ohm -89.3 degrees

3000 562 Ohm -89.5 degrees

Frequency Trim pot Resistance Phase shift

500 3.10 kOhm -99.9 degrees

1000 1.60 kOhm -109.2 degrees

1500 1.18 kOhm -117.3 degrees2000 974 Ohm -124.4 degrees

2500 795 Ohm -130.3 degrees

3000 771 Ohm -135.7 degrees

Measurements

Practical Differentiator

Ideal Differentiator


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Angular Frequency Relationship

Reading Voltages on Differentiator Circuit
http://filebox.ece.vt.edu/~LiaB/Experiments/Differentiator/Angular%20Frequency%20Relationship.wmvhttp://filebox.ece.vt.edu/~LiaB/Experiments/Differentiator/Reading%20Voltages%20on%20Differentiator%20Circuit.wmvhttp://filebox.ece.vt.edu/~LiaB/Experiments/Differentiator/Reading%20Voltages%20on%20Differentiator%20Circuit.wmvhttp://filebox.ece.vt.edu/~LiaB/Experiments/Differentiator/Angular%20Frequency%20Relationship.wmv


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Attach screenshots from the oscilloscope output


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Using the circuit in figure 1, do your PSpice results agree with the condition R1C1 = 1

Using the circuit in figure 2, do your PSpice results agree with the condition R1C1 = 1

What effect do R2 and C2 have on the performance of the circuit in Figure 1 compared to the circuit in Fi

Do your experimental observations of the ideal differentiator agree with your PSpice models and the d

Do your experimental observations of the practical differentiator agree with your PSpice models and th

Notes:

Conclusion

Yes it does

yes, it does

merely unchanging

yes it does

yes it does


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igure 2 between 500 and 3500 Hz?

rivation present in the Background?

e derivation present in the Background?

tran dang experiment 16

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