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MIT6_01F09_lec07 (1)

# MIT6_01F09_lec07 (1) - 6.01 Introduction to EECS 1 Week 7...

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6.01: Introduction to EECS 1 Week 7 October 20, 2009 1 6.01: Introduction to EECS I Op-Amps Week 7 October 20, 2009 Op-Amps An operational amplifier (op-amp) is an electronic component that is easily configured to perform a variety of useful functions. We will discuss models of op-amps that will allow us to design and analyze op-amp circuits for isolating parts of circuits (i.e., buffering), amplifying voltages, and performing mathematical operations (addition and subtraction). Dependent Source To analyze op-amps, we must introduce a new kind of component: a dependent source. A dependent source generates a voltage or current whose value de- pends on another voltage or current. Example: current-controlled current source + V i 1000 Ω I B 100 I B 5 Ω + V o Check Yourself Find V o V i . + V i 1000 Ω I B 100 I B 5 Ω + V o 1. 500 2. 1 20 3. 1 4. 1 2 5. none of above Op-Amp An op-amp can be represented by a voltage-controlled voltage source. V + V V o = K ( V + V ) Op-amp model: + V + V + V o I + I V + V K ( V + V ) I + = I = 0 and V o = K ( V + V ) where K is large ( 10 5 ). Op-Amp: Analysis Example: find V o V i for the following circuit. V i V o R 2 R 1 V + = V i V = R 1 R 1 + R 2 V o V o = K ( V + V ) = K ( V i R 1 R 1 + R 2 V o ) V o V i = K 1 + KR 1 R 1 + R 2 = K ( R 1 + R 2 ) R 1 + R 2 + KR 1 R 1 + R 2 R 1 ( if K is large )

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MIT6_01F09_lec07 (1) - 6.01 Introduction to EECS 1 Week 7...

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