Op-Amp Based Circuits Section 8.2. Topics Non-Inverting Amplifier Inverting Amplifier Integrator...
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Transcript of Op-Amp Based Circuits Section 8.2. Topics Non-Inverting Amplifier Inverting Amplifier Integrator...
![Page 1: Op-Amp Based Circuits Section 8.2. Topics Non-Inverting Amplifier Inverting Amplifier Integrator Differentiator.](https://reader035.fdocuments.us/reader035/viewer/2022081421/56649dba5503460f94aabbbb/html5/thumbnails/1.jpg)
Op-Amp Based Circuits
Section 8.2
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Topics
• Non-Inverting Amplifier• Inverting Amplifier• Integrator• Differentiator
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Non-Inverting Amplifier (Ideal)
(Assumption: Ao is infinite)
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Non-Inverting Amplifier (Practical)
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Approximation
(Taylor seriesapproximation)
(Large, since Ao is large)
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Example
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Application of Inverting Amplifier
• Analog Filters• Control Systems
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Inverting Amplifier
Input impedance: R2
Trade off: Input impedance versus voltage gain.
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Virtual Ground Versus An Ordinary Ground
Node X is a virtual ground, but not an ordinary ground.
If X were an ordinary ground, current from Vin would bediverted from R1since R1 represents a path of high impedance.
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Practical Inverting Amplifier
(Equating current in R1 and R2)
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Example
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Generalized Inverting Amplifier
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Integrator Analysis in the Frequency Domain
(Pole at the origin)
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Frequency Response of Integrator
(Pole at the origin)
(Pole frequency is obtained by setting the denominator to zero)
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Integrator Analysis in the Time Domain
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Example
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Active Integrator Versus Passive Integrator
Current decreasesas Vout rises, leading to aslower increase in Vout.
Passive integrator approximates the behavior of an active integrator.
(Active integrator)(Passive integrator)
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An Integrator with Finite Gain
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Example
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Frequency Domain Analysis of Differentiator
Frequency Domain Analysis
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Time Domain Analysis of a Integrator
Time Domain Analysis
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Example
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Active Differentiator Circuit Versus Passive
Differentiator Circuit
Node X is not pinned to ground.Capacitor can not charge instantaneously.Therefore, Vout rises rapidly to V1 initially.
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Practical Differentiator
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Example
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Voltage Adder
(Application:Noise Cancellation)