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ECE201_29_Jung

# ECE201_29_Jung - ECE 201 Lecture 29 RC Op-Amp Circuits...

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ECE 201 Lecture 29 RC Op-Amp Circuits Announcements Last Lecture #28: Thevenin’s and Norton’s Theorems for operational amplifiers This Lecture #29: RC op-amp circuits

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Differentiator
0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -2 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 2 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 HPF

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Typical Steps for Analyzing Op-Amp Circuits First write V + =V - and i + =i - =0 Find V + or V - , whichever is easier to solve V + and V - both known Apply KCL to one terminal of the op amp, using the fact that i + =i - =0
Integrator Assume v C (0)=0 c If υ c (0)=0

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Integrator υ c1 (t) If υ c1 (0)=0 υ c2 (t) 5k 10k 1M 1µF 1M 4µF
0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 -2 -1 .5 -1 -0 .5 0 0 .5 1 1 .5 2 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 0 0 .5 1 1 .5 2 2 .5 3 3 .5 4 LPF

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Composition
Assume capacitors uncharged at time 0 What is v out (t) for t>0? 1

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ECE201_29_Jung - ECE 201 Lecture 29 RC Op-Amp Circuits...

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