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Differentiator and Integrator Circuit
Section 8.2
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Integrator Circuit
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LM741CN
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R5 At DC, the op-amp is not able to provide feedback.
Thus V- is not equal to V+. A resistor should be added in parallel of C1 so as to provide feedback at DC.
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Select value of R5 This term should be minimized.
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Choice of R5 R5=330 Kohms C1=92 nF R5=1 Kohms C1=92 nF
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DC Offset Without Offset Nulling: Vout=11 mV when Vin=0.
With Offset Nulling: Vout=2 mV when Vin=0
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Input Bias Current
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Compensate for Input Bias Current
Choose R7 so that R7=R6 ||R5
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Vout Comparison Analytical Experiment R1 22 Kohms dT 0.5 mS C1 10 nF
dV 2.72 V Vin 1.32 V dVout/dt -6V/mS dVout/dT 5.44 V/mS
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Sensitivity of C1 2nF 1nF 92 nF
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Differentiator
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Eliminate Output Offset Voltage Due to Input Bias Current
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Avoid Excessive Current Through R8
f 1000 C2 2nF 1/(sC2) 79.60 KOhms R8 1 KOhms (Assume C2 is initially uncharged)
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Measurement Vs. Analytical Results
dVin 2.44 V dT 0.5 mS R10 10 Kohms C2 2 nF Vout (calculated) -98 mV Vout (meas) -96 mV
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