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8/2/2019 10-DiffAmpDesign
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Practical Differential Amplifier DesignWeve discussed
Large signal behaviour
Small signal voltage gainToday:
Input impedance
Output impedance
Coupling & biasing D.C. effects
Comparisons with the common-emitter amplifier
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Input and Output Impedances
An equivalent small signal circuit of a differential amplifiercan bedrawn as:
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Input ImpedanceDuring the small signal analysis, itwas shown that:
( )m
C
m
CCC
m
BBg
i
g
iiigvv
21
2121
221
===
BxCx ii =But,
m
BBB
givv 1
212=
mB
BBin
gi
vvr
2
1
21 =
=
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Output Impedance00Set == CIN iv
Applying Kirchoffs current law:
RCOUTOUTRCC iiiii ==+= 0
RC
OUT
C
RC
C
CRCC
i
vR
i
vRIV ===15
By Ohms law:
( ) CCRC
OUT
OUT
OUTOUT RR
i
v
i
vr ====
NB. Same result as common emitter amplifier
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Coupling and Biasing Input and output coupling
capacitors may be requiredto remove d.c. bias voltages
If input coupling capacitorsare used, a d.c. bias currentpath to the transistors basesmust be established
Extra base resistors
accomplish this These will appear in parallel
with the input impedance
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Constant Current Source
Current, I, should be constant regardless ofvarying VE
In practice, during small signal operation VEdoesnt vary by more than a fraction of a voltso a resistor is a good approximation (as inthe lab experiment)
For a better approximation, a current mirroris often used
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Current Mirror
VBE
VBE is unknown, but should be around 0.5 V
So, ( )REFREF
BERC
RRVII
REF5.14150 =+=
=
T
BESC
V
VII exp
Exactequilibrium value of VBE is set by negative
feedback and can be found from:
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Current Mirror (cont)
=
T
BESC
V
VII exp
VBE is identical for both transistors and
So, 4343 CCBEBE IIVV ==
But we know,REF
CR
I 5.143 =
REF
C
RI
5.14
4=
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Practical Amplifier with Coupling
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Non-Ideal D.C. Effects If operation down to d.c. is required, the
coupling components are omitted
This leads to some effects that are peculiar tod.c. operation: Offset Voltage Bias Current
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Offset Voltage With zero differential input, the collector
currents and, therefore, the collectorvoltages should be identical
This assumes that: The transistors are identical The loads are also identical
In practice, loads will vary and thequiescent conditions will not be perfectly
symmetrical There will be an offset voltagebetween
the actual output and the idealassumption
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Bias Current In order to bring the transistors into the
active region, a small d.c. base biascurrent is required
This d.c. current must be supplied by thesignal source
This is a separate issue to the current
drawn by the input impedance Note that bias currentand offset voltage
effects are identical to those observedwith op-amps
/CxBx II =
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Applications Differential inputs and outputs
Useful when negative feedback is required in a multi-stageamplifier
Also useful for balancedsignals
Transmitter
Noisy Channel
Noisy receivedsignals
DifferenceAmp
Output
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Comparisons with CE Amp Common Emitter Features
One transistor required Single input, single output Maximum input amplitude for linear operation around 1 mV High gain possible with high input impedance
Differential Features At least two transistors required Differential input, differential output Maximum input amplitude for linear operation around 50 mV
Reduced gain possible with high input impedance
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Multi-Stage Amplifiers With both common-emitter amplifiers and differential
amplifiers, a design compromise must be struckbetween: Voltage gain Input impedance Output impedance
Simultaneously achieving specified requirements may
not be possible using a single amplifier Solution: cascade more than one amplifier in series
More on this next time