Lecture27 - Chapter 5

# Lecture27 - Chapter 5 - EE216 C ircuit Analysis I Le cture...

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1 EE216 Circuit Analysis I Lecture # 27 – Chapter 5

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OP-Amp Review OP amp can be modeled as a voltage controlled voltage source, which amplifies an input difference signal. Used in a wide range of electronic circuits from engine control systems to cellular phones. Designed to perform mathematical functions such as addition , subtraction , differentiation , integration , voltage scaling and a myriad of more complex applications.
OP-Amp Constraints Review Recall OP-Amp is a special type of Voltage Amplifier with real constraints : R in ~ 10 M (very large) R out ~ 100 ohms (very small) Gain = A ~ 10 5 (very large) For an ideal OP-Amp with ideal constraints : R in ~ R out ~ 0 A ~ i p = i n = 0 For an ideal OP-Amp operating in linear region : v p = v n

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The Summing Amplifier 1/3 +Vcc -Vcc R b R f v n V o i f i n v p R c R a v c v b v a
The node-voltage equation @ n: (v n – v a )/R a + (v n – v b )/R b + (v n – v c )/R c + (v n – v o )/R f + i n = 0 Constraints: v p = v n = 0 and i n = 0 v o = - R f (v a /R a + v b /R b + v c /R c ) The output voltage of a summing amplifier is an inverted, scaled sum of the voltages applied to the input of the amplifier. +Vcc

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Lecture27 - Chapter 5 - EE216 C ircuit Analysis I Le cture...

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