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EE302Lecture21

# EE302Lecture21 - The I nver ti ng Ampl i fi er We want to...

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1 The Inverting Amplifier Ideal Op Amp Rules: 1. No current flows into either input terminal. 2. There is no input voltage difference between the two input terminals. R f R 1 v i - + + v o - i 1 i 2 V 1 V 2 Due to Rule 1 and KCL: i 1 = i 2 v 2 = 0 Due to Rule 2: v 1 0 We want to find the voltage gain : A v = v o / v i Note: We are assuming that the circuit operates in the linear region.

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2 The Inverting Amplifier 1 1 2 1 1 1 1 2 1 amp op ideal an for 0 v But v amp op ideal an for R R v v A Gain R v R v R v v R v v i i f i o v f o i f o i - = = = - = = = - = - = R f R 1 v i - + + v o - i 1 i 2 V 1 V 2 Equivalent Circuit: (R f /R i )v i R 1 + v i - + v o -
3 The Inverting Amplifier 1 1 2 1 1 1 1 2 1 amp op ideal an for 0 v But v amp op ideal an for R R v v A Gain R v R v R v v R v v i i f i o v f o i f o i - = = = - = = = - = - = This is often called the “closed loop gain”. R f R 1 v i - + + v o - i 1 i 2 V 1 V 2 Equivalent Circuit: (R f /R i )v i R 1 + v i - + v o -

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4 Feedback The closed-loop gain A v is independent of the open loop gain of the op-amp.
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