What is Negative Feedback?
When the feedback energy is out of phase with the input signal, it is called negative feedback. Negative feedback reduces the gain of the amplifier. That is why, it is sometimes called degenerative or inverse feedback. However, the advantages of negative feedback are:
- Higher input impedance
- Lower output impedance
- Better stabilized gain
- Reduction of noise
- Improved frequency response
Considering the following feedback circuit, we will explain the mentioned properties of a negative feedback circuit.
|
Fig: Negative Feedback |
The gain of the amplifier without feedback is
Av . Negative feedback is then applied by feeding a fraction mv
of the output voltage eo back to amplifier circuit.
Therefore, the actual input to amplifier = eg
-mveo
The
output eo must be equal to the input voltage multiplied by gain Av
of the amplifier.
( eg – mveo
) Av = eo
Or, eg
Av - mvAveo
= eo
Or, eo
( 1 + mvAv ) = egAv
Or, eo / eg = Av /( 1 + mvAv
)
But eo |eg is the gain of the amplifier with feedback.
Therefore-
Avf = Av /( 1 + mvAv )
So due
to negative voltage feedback, the gain is reduced by a factor (
1 + mvAv )
For
effective design mvAv >> 1
then Avf
= Av / mvAv =1/mv
As the
gain of the negative feedback depends on only feedback ratio or feedback
circuit which is actually a resistive network that is why the negative feedback
gain is unaffected from the variations of transistor parameters, temperature,
frequency. Therefore it will be extremely stable.
Consider the above circuit parameters. We also assume that:
Zin = input impedance without feedback
Zin/ =
input impedance with feedback
i1 = input current
So
from above fig we get, eg –
mveo = i1Zin --- (1)
Now, eg = eg – mveo
+ mveo
= (eg – mveo)
+ (eg – mveo)mvAv
[ as ( eg – mveo
) Av = eo ]
= (eg – mveo)
( 1 + mvAv )
= i1Zin (
1 + mvAv ) [
From 1]
Or, eg / i1
= Zin ( 1 + mvAv
)
But eg|i1 is the input impedance with feedback.
So, Zin/ = Zin (
1 + mvAv )
Therefore
the input impedance of the negative feedback is increased by a factor ( 1 + mvAv
). This is an advantage, the amplifier will now present less of a load to its
source circuit.
Apply an voltage e at
the output circuit which causes to flow current I and short the input voltage eg .
Now
consider, Zo =
output impedance without feedback
Zo/
= output impedance with feedback
We
get, e = ZoI + AvVi
where Vi = input
voltage across the amplifier
But, Vi = eg - ef
where ef =
voltage across the feedback
= - ef
= - mve Here e = eo
Putting
this into above relation we get,
e = ZoI - Avmve
or, e( 1 + mvAv
) = ZoI
or, e/I = Zo /(
1 + mvAv )
Therefore
output impedance with feedback,
Zo/ = e/I = Zo /(
1 + mvAv )
So
the output impedance is reduced by a factor
( 1 + mvAv ) .
The gain of the negative feedback depends on
only feedback ratio or feedback circuit which is actually a resistive network.
That is why the gain is independent of signal frequency. The result is that
voltage gain of the amplifier will be constant over a wide range of signal
frequency. The negative voltage feedback therefore improves the frequency
response of the amplifier.
Increase
in the Bandwidth:
When the gain decreases by a factor ( 1 + mvAv ) by
providing negative feedback. It is seen that the lower cut off frequency is
also lowered by this factor ( 1 + mvAv
) and upper cut off frequency is raised by the same factor. As a result the
difference between the frequencies means bandwidth is increased.
|
Fig: Bandwidth Increased by Negative Feedback |
Let the harmonic distortion voltage generated
within in the amplifier change from D to D/ , when negative feedback
is applied to the amplifier.
Suppose D/ = xD
The
fraction of the output distortion voltage which is feedback to the input
is: mvD/ = mvxD
After
amplification, it becomes mvxDAv and is antiphase(due to
negative feedback) with orginal distortion voltage D.
Hence
the new distortion voltage D/ which appears in the output is:
D/ = D – mvxDAv
Or,
xD = D – mvxDAv
Or,
x = 1 - xmvAv
Or, x ( 1 + mvAv )
= 1
Or, x = 1/ ( 1 + mvAv )
Or, xD = D/( 1 + mvAv
)
Or, D/ = D/( 1 + mvAv
)
Therefore,
the negative feedback reduces the distortion.
Reduce Noise Effect:
Negative feedback can help reduce the impact of noise on electronic circuits by reducing the gain of the amplifier and increasing the signal-to-noise ratio. This makes negative feedback a useful tool in designing circuits that are stable, reliable, and perform optimally in the presence of noise.