lecture13

# lecture13 - EE 205 Coifman Homework set#5 due 4-2 4-7 4-13...

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n a m f i o C 5 0 2 E E 13-1 Homework set #5, due 4/30/08 4-2, 4-7, 4-13, 4-14, 4-16, 4-17, 4-20, 4-21, 4-23, 4-26 Meet the Operational Amplifier, its friends call it "the Op Amp" 8 7 6 5 1 2 3 4 + - + - Top v N v P Noninverting input Inverting input Positive power supply Output Negative power supply +V CC v O V CC This is a real device that you can buy... made up of lots of transistors and stuff. We will be working with a few simple models of the Op Amp... i P I C+ i N i O I C - +V CC - V CC + v P - + v N - + v O - - + - + - + - + i O v O + i P i N v P v N + + - i O =I C+ +I C- +i P +i N i O i P +i N

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EE 205 Coifman 13-2 Transfer characteristic for an Op Amp +V CC v O - V CC v P -v N 1 µ Output voltage swing - Saturation Linear +Saturation noninverting input v P inverting input v N output voltage v O voltage gain µ v O = µ (v P -v N ) 3 modes of operation: - saturation linear + saturation
EE 205 Coifman 13-3 Model of an Ideal Op Amp operating in the linear region + - i P i N v P v N + + R I + - R O i O v O + µ (v P - v N ) R 1 [10 6 ,10 12 ] R O [10,100] µ∈ [10 5 ,10 8 ] -V CC < v O < +V CC -V CC / µ < (v P -v N ) < +V CC / µ Since V CC ~ 15V; µ >> 0, (v P -v N ) 0 Next, we assume µ → ∞ and arrive at the "ideal model" of the Op Amp: v P =v N i P = i N = 0 In other words (pictures?)

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