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Lecture15a

# Lecture15a - Lecture 15 OPERATIONAL AMPLIFIER Topics...

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Lecture 15. OPERATIONAL AMPLIFIER Objectives: Topics: Describe operation of op-amp circuits Obtain the transfer characteristic Find the output equation for linear op-amp circuits Simplified amplifier model Linear op-amp circuit Examples

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Operational Amplifiers + - Applications: amplification, analog filters, buffering, rectification, threshold detection, digital switching, etc. Simplified Model V O =A 0 (V + -V - ) A 0 (~10 4 -10 6 ) – internal voltage gain r IN >10 6 , r OUT <100 V + -V - v OUT Ideal op-amp:
Linear Op-Amp Circuits - negative-feedback closed-loop systems NONINVERTING AMPLIFIER + - Virtual short: Inputs `+` and `-` are not connected; however, V + and V - are the same Like two magnets on 2 sides of a door v IN and v OUT have the same sign Noninverting: Gain:

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EXAMPLE R 1 =1k ,R 2 =10k , V pos =12V, V neg =-12V Gain - ? Max and min v IN - ? Transfer characteristic - ? v IN v OUT 1 2 1 R R R v v IN OUT + = v IN MIN = v IN MAX =
INVERTING AMPLIFIER v IN v OUT - + V + =V - =0

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Lecture15a - Lecture 15 OPERATIONAL AMPLIFIER Topics...

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