tailieunhanh - Circuits & Electronics P20

Operational Amplifier Circuits Fall 2000 Lecture 20 1 .Review Operational amplifier abstraction + – ∞ input resistance 0 output resistance Gain “A” very large Building block for analog systems We will see these examples: Digital-to-analog converters Filters Clock generators Amplifiers Adders Integrators & Differentiators Reading: Chapter & of A & L. Fall 2000 Lecture 20 2 .Consider this circuit: i i v2 + – v1 + – R2 R1 v− – v+ + R2 R1 + vOUT – R2 v = v1 R1 + R2 ≈ v− + vOUT = v − − iR2 v2 − v − = v− − ⋅ R2 R1 R ⎡ R ⎤ = v − ⎢1 + 2 ⎥ − v2. | CIRCUITS AND ELECTRONICS Operational Amplifier Circuits Fall 2000 Lecture 20 1 Review Operational amplifier abstraction input resistance 0 output resistance Gain A very large Building block for analog systems We will see these examples Digital-to-analog converters Filters Clock generators Amplifiers Adders Integrators Differentiators Reading Chapter of A L. Fall 2000 Lecture 20 2 Consider this circuit R T vi - V2 R1 subtracts Fall 2000 Lecture 20

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