Darlington Pair/ Amplifier
Emitter follower and darlington amplifier are the most common examples for feedback amplifiers. These
are the mostly used ones with a number of applications.
Emitter Follower
Emitter follower circuit has a prominent place in feedback amplifiers. Emitter follower is a case of
negative current feedback circuit. This is mostly used as a last stage amplifier in signal generator
circuits.
The important features of Emitter Follower are −
• It has high input impedance
• It has low output impedance
• It is ideal circuit for impedance matching
All these ideal features allow many applications for the emitter follower circuit. This is a current amplifier
circuit that has no voltage gain.
Construction
The constructional details of an emitter follower circuit are nearly similar to a normal amplifier. The main
difference is that the load RL is absent at the collector terminal, but present at the emitter terminal of the
circuit. Thus the output is taken from the emitter terminal instead of collector terminal.
The biasing is provided either by base resistor method or by potential divider method. The following
figure shows the circuit diagram of an Emitter Follower.
Operation
The input signal voltage applied between base and emitter, develops an output voltage V o across RE,
which is in the emitter section. Therefore,
Vo=IEREVo=IERE
The whole of this output current is applied to the input through feedback. Hence,
Vf=VoVf=Vo
As the output voltage developed across RL is proportional to the emitter current, this emitter follower
circuit is a current feedback circuit. Hence,
β=VfVo=1β=VfVo=1
It is also noted that the input signal voltage to the transistor (= V i) is equal to the difference of Vs and
Vo i.e.,
Vi=Vs−VoVi=Vs−Vo
Hence the feedback is negative.
Characteristics
The major characteristics of the emitter follower are as follows −
• No voltage gain. In fact, the voltage gain is nearly 1.
• Relatively high current gain and power gain.
• High input impedance and low output impedance.
• Input and output ac voltages are in phase.
Voltage Gain of Emitter Follower
As the Emitter Follower circuit is a prominent one, let us try to get the equation for the voltage gain of an
emitter follower circuit. Our Emitter Follower circuit looks as follows −
If an AC equivalent circuit of the above circuit is drawn, it would look like the below one, as the emitter by
pass capacitor is absent.
The AC resistance rE of the emitter circuit is given by
rE=r′E+RErE=rE′+RE
Where
r′E=25mVIErE′=25mVIE
In order to find the voltage gain of the amplifier, the above figure can be replaced by the following figure.
Note that input voltage is applied across the ac resistance of the emitter circuit i.e., (r’ E + RE). Assuming
the emitter diode to be ideal, the output voltage Vout will be
Vout=ieREVout=ieRE
Input voltage Vin will be
Vin=ie(r′e+RE)Vin=ie(re′+RE)
Therefore, the Voltage Gain of emitter follower is
AV=VoutVin=ieREie(r′e+RE)=RE(r′e+RE)AV=VoutVin=ieREie(re′+RE)=RE(re′+RE)
Or
AV=RE(r′e+RE)AV=RE(re′+RE)
In most practical applications,
RE≫r′eRE≫re′
So, AV ≈ 1. In practice, the voltage gain of an emitter follower is between 0.8 and 0.999.
Darlington Amplifier
The emitter follower circuit which was just discussed lacks to meet the requirements of the circuit current
gain (Ai) and the input impedance (Zi). In order to achieve some increase in the overall values of circuit
current gain and input impedance, two transistors are connected as shown in the following circuit
diagram, which is known as Darlington configuration.
As shown in the above figure, the emitter of the first transistor is connected to the base of the second
transistor. The collector terminals of both the transistors are connected together.
Biasing Analysis
Because of this type of connection, the emitter current of the first transistor will also be the base current
of the second transistor. Therefore, the current gain of the pair is equal to the product of individual
current gains i.e.,
β=β1β2β=β1β2
A high current gain is generally achieved with a minimum number of components.
As two transistors are used here, two VBE drops are to be considered. The biasing analysis is otherwise
similar for one transistor.
Voltage across R2,
V2=VCCR1+R2×R2V2=VCCR1+R2×R2
Voltage across RE,
VE=V2−2VBEVE=V2−2VBE
Current through RE,
IE2=V2−2VBEREIE2=V2−2VBERE
Since the transistors are directly coupled,
IE1=IB2IE1=IB2
Now
IB2=IE2β2IB2=IE2β2
Therefore
IE1=IE2β2IE1=IE2β2
Which means
IE1=IE1β2IE1=IE1β2
We have
IE1=β1IB1IE1=β1IB1 since IE1≅IC1IE1≅IC1
Hence, as
IE2=IE1β2IE2=IE1β2
We can write
IE2=β1β2IB1IE2=β1β2IB1
Therefore, Current Gain can be given as
β=IE2IB1=β1β2IB1IB1=β1β2β=IE2IB1=β1β2IB1IB1=β1β2
Input impedance of the darling ton amplifier is
Zin=β1β2RE.....Zin=β1β2RE..... neglecting r’e
In practice, these two transistors are placed in a single transistor housing and the three terminals are
taken out of the housing as shown in the following figure.
This three terminal device can be called as Darling ton transistor. The darling ton transistor acts like a
single transistor that has high current gain and high input impedance.
Characteristics
The following are the important characteristics of Darling ton amplifier.
• Extremely high input impedance (MΩ).
• Extremely high current gain (several thousands).
• Extremely low output impedance (a few Ω).
Since the characteristics of the Darling ton amplifier are basically the same as those of the emitter
follower, the two circuits are used for similar applications.
