Application Center - Maplesoft
  Submit your work
Application Center Applications Amplifier Gain Preview

App Preview:

Amplifier Gain

You can switch back to the summary page by clicking here.

Learn about Maple
Download Application



Amplifier Gain

Introduction

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

> 

restart; with(DynamicSystems); with(plots)

Parameters

> 

R__1 := 1000

> 

C__1 := 10^(-7)

> 

R__In := 1000

> 

C__3 := 4.7*10^(-8)

> 

R__2 := 1000

> 

C__2 := 4.70*10^(-7)

> 

R__f := 10^102


Amplifier bandwidth factors

> 

GBP := 10^6

> 

LPF := 300

Support Function

> 

ll := proc (Z1, Z2) options operator, arrow; Z1*Z2/(Z1+Z2) end proc

 

Transfer functions

> 

Z__1 := R__1+1/(s*C__1)

> 

Z__2 := R__2+1/(s*C__2)

> 

Z__In := ll(R__In, Z__1)

> 

factor(Z__In)

500*(s+10000)/(s+5000)

> 

Z__fb := ll(R__f, ll(Z__2, 1/(s*C__3)))

Ideal Amplifier Gain``

> 

G__EAideal := factor(Z__fb/Z__In)

42553.19148*(s+2127.659574)*(s+5000.)/((s+0.1934235977e-95)*(s+23404.25531)*(s+10000.))

 

Nonideal Op-Amp effects: Finite open loop gain

> 

beta := 1/(1+G__EAideal)

Finite open loop gain

> 

A__vo := GBP/(LPF*(1+s/(2*Pi*LPF))*(1+s/(2*Pi*GBP)))

(10000/3)/((1+(1/600)*s/Pi)*(1+(1/2000000)*s/Pi))

> 

simplify((10000/3)/((1+(1/600)*s/Pi)*(1+(1/2000000)*s/Pi)), 'size')

4000000000000*Pi^2/((600*Pi+s)*(2000000*Pi+s))

Nonideal error amplifier gain

> 

G__EA := simplify(G__EAideal/(1+1/(A__vo*beta)))

42553.19148*(s+5000.)*(s+2127.659574)/(1.012406241*s^3+33512.60113*s^2+234275827.3*s+135808057.8+0.1611267141e-6*s^4+0.253302959e-13*s^5)

Analysis

> 

with(DynamicSystems)

> 

sys1 := TransferFunction(G__EA)

> 

sys2 := TransferFunction(G__EAideal)

> 

p1 := PhasePlot(sys1, range = 10 .. 100000, hertz = true, legend = "Non-ideal")

> 

p2 := PhasePlot(sys2, range = 10 .. 100000, hertz = true, legend = "Ideal", color = black)

> 

display(p1, p2)