Amplifier Gain Worksheet - Maple Help
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Amplifier Gain Worksheet

Introduction

In this application, we will plot the gain of the following amplifier circuit, for both the ideal and non-ideal response.

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restart: withDynamicSystems: withplots:

Parameters

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R__1≔1000:

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C__1≔10−7:

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R__In≔1000:

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C__3≔4.7⋅10−8:

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R__2≔1000:

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C__2≔4.70⋅10−7:

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R__f≔10102:


Amplifier bandwidth factors:

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GBP≔106:

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LPF≔300:

Support Function

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ll≔Z1,Z2→Z1⋅Z2Z1+Z2:

 

Transfer functions

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Z__1≔R__1+1s⋅C__1:

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Z__2≔R__2+1s⋅C__2:

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Z__In≔llR__In,Z__1:

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factorZ__In

500⁢s+10000s+5000

(4.1)
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Z__fb≔llR__f,llZ__2,1s⋅C__3:

Ideal amplifier gain:

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G__EAideal≔factorZ__fbZ__In

G__EAideal≔42553.19148⁢s+2127.659574⁢s+5000.s+1.934235977×10−96⁢s+23404.25531⁢s+10000.

(4.2)

 

Non-ideal op-amp effects: Finite open loop gain

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β≔11+G__EAideal:

Finite open loop gain

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A__vo≔GBPLPF⋅11+s2⋅π⋅LPF⋅1+s2⋅π⋅GBP

A__vo≔100003⁢1+s600⁢π⁢1+s2000000⁢π

(4.3)
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simplify( , 'size' )

4000000000000⁢π2600⁢π+s⁢2000000⁢π+s

(4.4)

Non-ideal error amplifier gain:

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G__EA≔simplifyG__EAideal⋅11+1A__vo⋅β

G__EA≔1.787162409×1025+1.679932664×1018⁢s2+1.197398814×1022⁢s5.36148722210544×1021+s5+6.36102770911571×106⁢s4+3.99681963841567×1013⁢s3+1.32302446297123×1018⁢s2+9.24883894862041×1021⁢s

(4.5)

Analysis

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sys1≔TransferFunctionG__EA:

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 sys2≔TransferFunctionG__EAideal:

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p1≔PhasePlotsys1,range=10 ..100000 ,hertz=true,legend=Non-ideal:

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p2≔PhasePlotsys2,range=10 ..100000 ,hertz=true,legend=Ideal ,color=black:

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displayp1,p2

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