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Title: ELECTRICAL ANALOGUE CIRCUIT
Description: • Review of op amp fundamentals • Op amp applications (non-linear) • Analog to Digital Converters (ADC) & Digital to Analog Converter (DAC) • (Linear) power supplies • Non-ideal behaviour of op amps & noise in analogue electronic systems

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(SYSTEMS &)
ANALOGUE ELECTRONICS III
MODULE EE316

CREDIT RATING = 5

• Review of op amp fundamentals
• Op amp applications (non-linear)
• Analog to Digital Converters (ADC) & Digital to
Analog Converter (DAC)
• (Linear) power supplies
• Non-ideal behaviour of op amps & noise in analogue
electronic systems
Recommended Book
Design with Operational Amplifiers and Analog
Integrated Circuits
by Sergio Franco
published by McGraw Hill
• Selected chapters
• Restricted Loan in Library

Review of op amp fundamentals
2 ways of looking at an “amplifier”
1
...

• Power amp
...

• Transresistance amp
...


Energy modulator approach
Power supply

Vi

Control

Vo

Variations in the input (I/P) signal voltage cause
corresponding variations in the output (O/P) signal
voltage
This approach highlights fact that the electrical energy
delivered (even if in a
...
form) through O/P port to any
load is drawn from d
...
power supply (NOT from I/P
signal and NOT from nowhere)
Note: amp O/P port will have limited voltage AND
current capability (as will power supply)
”New” terminology:
Voltage amp
...


Current Controlled Current
Source CCCS

Transconductance amp
...


Current Controlled Voltage

Source CCVS

Op amps are designed to have close to ideal VCVS
characteristics
• Symbols
• Notation
• Model(s)
Symbol + notation:

Vn
Vo

Vp
Common
Reference

• Inverting and non-inverting I/Ps
• Some (arbitrary) common reference for voltages

Where does power supply come in?
• Op amps DO NOT (in general) have a common ref
(GND, common, 0V, etc) terminal or pin
• Only +ve & −ve (VCC & VEE in EE2)
VCC

Vn
Vp

Vo

VEE

Common
Ref

Using a single Power Supply Unit (PSU) (where is VCC
? & VEE ?)
• Free to choose ANY point as common ref
e
...
−ve terminal of PSU ⇒ VCC = Vsupply & VEE= 0V

VCC
Vsupply
Vn

VEE
Vp

Common
Ref

Vo

• More commonly we use dual PSUs balanced about a
central common ref which we then (generally) &
conveniently call:
0V or GND
• Measure / refer voltage (potential) of any/all points in
circuit w
...
t this point

VPS

VCC

Vn
Vp

VEE
Vo

Common = 0V = GND
Ref

⇒ VCC = +VPS & VEE= − VPS
Don’t usually draw all the elements!

VPS

Model:

ro
Vd

rd

aVd

Vn

Vo
Vp
Common
Reference

Other notation:
V−

Vn

V+

Vp

Vi '

Vd

AOL

a

AOL=open-loop gain
Designed to have:
• rd large
• ro small
• a large

Input currents
VCC

In
Ip
Vn
Vp

VEE

Vo

Common
Ref

Remember (EE2):
• op amp inputs are the bases of transistors
⇒ will have currents
• Designed to be small
Back to model:
• rd large
• ro small
• a large
• In small
• Ip small

Ideal Model:
• rd large → ∞
• ro small ≈ 0
• a large → ∞
• In = Ip ≈ 0

Vd

aVd

Vn

Vo
Vp

• Use for most analysis purposes
• Revert to non-ideal model for more exacting analysis

Ideal Behaviour
Noninverting Amp
R2

R1

VCC

VEE
Vi

Vo

0V

Use model (slightly modified)

Vp

Vn

Vd

aVd

Vi
Vo
R1

R2

Feedback
network

Voltage Follower:

VCC

VEE
Vi

Vo

0V

Model

Vp
Vn

Vd

aVd

Vi
Vo
Feedback
network

Inverting Amp
R2

R1

VCC

Vi

VE

Vo

0V

Model
Vp
Vn

Vd

aVd

Vo
R1

Vi

R2

Feedback
network

(High gain) Negative Feedback (NFB)
• a large and b > 0
e
...
for Non-Inv Amp


Vi

Vfb

a
b

Vfb



Vn

Vi



Vp





Vd

b

=

R1
R1 + R2

Vo
a
=
Closed Loop Gain , A =
Vi 1 + ab
ab = Loop Gain
Ideally a → ∞

⇒ Aideal

1
=
b

Ideal closed loop gain

Vo

Effect of NFB

Vε =

Vo
1
=
Vi
a 1 + ab

V fb = bVo =

ab
Vi
1 + ab

As a → ∞ : Vε → 0 and Vfb → Vi
⇒Virtual short between Inv and Non-inv I/Ps
(but with zero current also !)

Gain (de)Sensitivity:
A=

a
(1 + ab)

dA
1
=
da (1 + ab) 2


dA
1 da
=
A 1 + ab a

(or ∆ or 100∆)

Distortion:
Vo

Vo

Vi V

Vε µV

Slope = a
Reduction in distortion due to feedback
...
However, if we
insert the Voltage Follower between the source and the load, then
because Ri=∞ and Ro=0 for the voltage follower, the voltage across
the load is Vi
...
It reduces loading effect
...
g
...
models
Vo [V]
3
VSATH
VSATL

a

Vd [µV]
VSATH

2
1

a

VSATL

Region 2 (linear region): Slope = a

Vd

aVd

Vo

Regions 1 & 3 (lower and upper saturation regions)
3

1

Vd
VSATL

Vo

Vd
VSATH

Vo


Title: ELECTRICAL ANALOGUE CIRCUIT
Description: • Review of op amp fundamentals • Op amp applications (non-linear) • Analog to Digital Converters (ADC) & Digital to Analog Converter (DAC) • (Linear) power supplies • Non-ideal behaviour of op amps & noise in analogue electronic systems