Amplifier Gain Worksheet - Maple Programming 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.

restart: withDynamicSystems: withplots:

Parameters

R__11000:

C__1107:

R__In1000:

C__34.7108:

R__21000:

C__24.70107:

R__f10102:


Amplifier bandwidth factors:

GBP106:

LPF300:

Support Function

llZ1,Z2Z1Z2Z1+Z2:

 

Transfer functions

Z__1R__1+1sC__1:

Z__2R__2+1sC__2:

Z__InllR__In,Z__1:

factorZ__In

500s+10000s+5000

(4.1)

Z__fbllR__f,llZ__2,1sC__3:

Ideal amplifier gain:

G__EAidealfactorZ__fbZ__In

G__EAideal42553.19148s+2127.659574s+5000.s+1.93423597710−96s+23404.25531s+10000.

(4.2)

 

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

β11+G__EAideal:

Finite open loop gain

A__voGBPLPF11+s2πLPF1+s2πGBP

A__vo1000031+s600π1+s2000000π

(4.3)

simplify( , 'size' )

4000000000000π2600π+s2000000π+s

(4.4)

Non-ideal error amplifier gain:

G__EAsimplifyG__EAideal11+1A__voβ

G__EA1.7871624091025+1.6799326641018s2+1.1973988141022s5.361487222105441021+s5+6.36102770911571106s4+3.996819638415671013s3+1.323024462971231018s2+9.248838948620411021s

(4.5)

Analysis

sys1TransferFunctionG__EA:

 sys2TransferFunctionG__EAideal:

p1PhasePlotsys1,range=10 ..100000 ,hertz=true,legend=Non-ideal:

p2PhasePlotsys2,range=10 ..100000 ,hertz=true,legend=Ideal ,color=black:

displayp1,p2