2. OPERATIONAL AMPLIFIER
An operational amplifier (OP-Amp) is a circuit that can perform
such mathematical operations as addition, subtraction, integration
and differentiation.
Fig. shows the block diagram of an operational amplifier. Note that OP-Amp is a
multistage amplifier. The three stages are : differential amplifier input stage
followed by a high-gain CE amplifier and finally the output stage. The key
electronic circuit in an OP-Amp is the differential amplifier. A differential
amplifier (DA) can accept two input signals and amplifies the difference between
these two input signals.
3. DIFFERENTIAL AMPLIFIER (DA)
A differential amplifier is a circuit that can accept two
input signals and amplify the difference between these
two input signals.
5. The following points may be noted about the differential amplifier :
(i) The differential amplifier (DA) is a two-input terminal device using
atleast two transistors. There are two output terminals marked 1
(vout 1) and 2(vout 2).
(ii) The DA transistors Q1 and Q2 are matched so that their
characteristics are the same. The collector resistors (RC1 and RC2)
are also equal. The equality of the matched circuit components
makes the DA circuit arrangement completely symmetrical.
(iii) We can apply signal to a differential amplifier (DA) in the
following two ways :
(a) The signal is applied to one input of DA and the other input is
grounded. In that case, it is called single-ended input
arrangement.
(b) The signals are applied to both inputs of DA. In that case, it is
called dual-ended or double-ended input arrangement.
6. (iv) We can take output from DA in the following two
ways :
(a) The output can be taken from one of the output
terminals and the ground. In that case,
it is called single-ended output arrangement.
(b) The output can be taken between the two output
terminals (i.e., between the collectors
of Q1 and Q2). In that case, it is called double-ended
output arrangement or differential output.
(v) Generally, the differential amplifier (DA) is operated
for single-ended output. In other
words, we take the output either from output terminal 1
and ground or from output terminal 2 and ground. Any
input/output terminal that is grounded is at 0V.
10. In this mode, two signals equal in amplitude
and having the same phase are applied to
the inputs of DA
11. In this mode (arrangement), two opposite-polarity
(180° out of phase) signals are applied to the inputs of
DA as
12. COMMON-MODE REJECTION RATIO (CMRR)
A differential amplifier should have high differential voltage gain
(ADM) and very low common mode voltage gain (ACM). The ratio
ADM/ACM is called common-mode rejection ratio (CMRR) i.e.,
13.
14.
15. OP-Amp Integrator
Circuit Analysis. Since point A in Fig. is at virtual ground, the *virtual-ground
equivalent circuit of operational integrator will be as shown in Fig. Because of virtual
ground and infinite impedance of the OP-amp, all of the input current i flows through
the capacitor i.e. i = ic
16.
17.
18. OP-Amp Differentiator
A differentiator is a circuit that performs differentiation of the input signal.
In other words, a differentiator produces an output voltage that is proportional to the
rate of change of the input voltage.
Its important application is to produce a rectangular output from a ramp input.
19. Eq. (i) shows that output is the differentiation of the
input with an inversion and scale multiplier of RC. If we
examine eq. (i), we see that if the input voltage is
constant, dvi/dt is zero and the output voltage is zero.
The faster the input voltage changes, the larger the
magnitude of the output voltage.
20.
21. Comparator Circuits
A comparator circuit has the following two characteristics :
(i) It uses no feedback so that the voltage gain is
equal to the open-loop voltage gain (AOL) of OP-amp.
(ii) It is operated in a non-linear mode.
1. As a square wave generator
22. When the input signal goes positive, the output jumps to
about + 13 V.
When the input goes negative, the output jumps to about –
13 V.
The output changes rapidly from – 13 V to + 13 V and vice-
versa. This change is so rapid that we get a square wave
output for a sine wave input.
23. 2. As a zero-crossing detector
From the input/output waveforms, you can see that every time the input
crosses 0 V going positive, the output jumps to + 13 V.
Similarly, every time the input crosses 0 V going negative, the output jumps to –
13 V.
Since the change (+ 13 V or – 13 V) occurs every time the input crosses 0 V, we
can tell when the input signal has crossed 0 V. Hence the name zero-crossing
detector.
24. 3. As a level detector.
The circuit action is as follows.
Suppose the input signal vin is a sine wave. When the input voltage is less than
the reference voltage (i.e. Vin < VREF), the output goes to maximum negative
level.
It remains here until Vin increases above VREF. When the input voltage exceeds
the reference voltage (i.e. Vin > VREF), the output goes to its maximum positive
state.
It remains here until Vin decreases below VREF. Fig. shows the input/output
waveforms. Note that this circuit is used for non zero-level detection.
25.
26. Multivibrators
An electronic circuit that generates square waves (or other non-
sinusoidals such as rectangular, saw-tooth waves) is known as a
*multivibrator.
27. A multivibrator is a switching circuit which depends for operation
on positive feedback.
It is basically a two-stage amplifier with output of one fedback to
the input of the other as shown in Fig.
Types of Multivibrators
28. Astable multivibrator does require a source of d.c. power. Because it continuously
produces the square-wave output, it is often referred to as a free running
multivibrator.
The monostable or one-shot multivibrator has one state stable and one quasi-stable
(i.e.half-stable) state. Since the monostable multivibrator produces a single output
pulse for each input trigger pulse, it is generally called one-shot multivibrator.
The bistable multivibrator has both the two states stable. It requires the application
of an external triggering pulse to change the operation from either one state to the
other.
30. It consists of two common emitter amplifying stages. Each
stage provides a feedback through a capacitor at the input of
the other . Since the amplifying stage introduces a 180o phase
shift and another 180o phase shift is introduced by a capacitor ,
therefore the feedback signal and the circuit works as an
oscillator.
Let us suppose that
1.When Q1is ON, Q2 is OFF and 2. When Q2 is ON, Q1 is OFF. When the
D.C power supply is switched ON by closing S, one of the transistors
will start conducting before the other (or slightly faster then the
other).
it is so because characteristics of no two similar transistors can be
exactly alike suppose that Q1 starts conducting before Q2 does.
The feedback system is such that Q1 will be very rapidly driven to
saturation and Q2 to cut-off. The circuit operation may be explained
as follows.
31. 1. Since Q1 is in saturation whole of VCC drops across RL1. Hence VC1 = 0 and point
A is at zero or ground potential.
2. Since Q2 is in cut-off i.e. it conducts no current, there is no drop across RL2.
Hence point B is at VCC.
3. Since A is at 0V C2 starts to charge through R2 towards VCC.
4. When voltage across C2 rises sufficiently (i.e. more than 0.7V), it biases Q2 in
the forward direction so that it starts conducting and is soon driven to
saturation.
5. VCC (of point B) decreases and becomes almost zero when Q2 gets saturated.
The potential of point B decreases from VCC to almost 0V. This potential
decrease (negative swing) is applied to the base of Q1 through C1.
Consequently, Q1 is pulled out of saturation and is soon driven to cut-off.
6. Since, now point B is at 0V, C1 starts charging through R1 towards the target
voltage VCC.
7. When voltage of C1 increases sufficiently. Q1 becomes forward-biased and
starts conducting. In this way the whole cycle is repeated.
It is observed that the circuit alternates between a state in which
Q1 is ON and Q2 is OFF and the state in which Q1 is OFF and Q2 is ON.
This time in each states depends on RC values. Since each transistor
is driven alternately into saturation and cut-off. The voltage
waveform at either collector (points A and B in figure (b)) is
essentially a square waveform with a peak amplitude equal to VCC.
32. The Bistable Multivibrator
The Bistable Multivibrator is another type of two state device similar to
the Monostable Multivibrator we looked at in the previous tutorial but the
difference this time is that BOTH states are stable. Bistable
Multivibrators have TWO stable states (hence the name: “Bi” meaning two)
and maintain a given output state indefinitely unless an external trigger is
applied forcing it to change state.
33. The Bistable Multivibrator circuit above is stable in both states, either with one
transistor “OFF” and the other “ON” or with the first transistor “ON” and the
second “OFF”.
Lets suppose that the switch is in the left position, position “A”. The base of
transistor TR1 will be grounded and in its cut-off region producing an output
at Q. That would mean that transistor TR2 is “ON” as its base is connected to
Vcc through the series combination of resistors R1 and R2. As transistor TR2 is
“ON” there will be zero output at Q, the opposite or inverse of Q.
If the switch is now move to the right, position “B”, transistor TR2 will switch
“OFF” and transistor TR1will switch “ON” through the combination of
resistors R3 and R4 resulting in an output at Q and zero output at Q the
reverse of above. Then we can say that one stable state exists when
transistorTR1 is “ON” and TR2 is “OFF”, switch position “A”, and another stable
state exists when transistor TR1is “OFF” and TR2 is “ON”, switch position “B”.
Then unlike the monostable multivibrator whose output is dependent upon
the RC time constant of the feedback components used, the bistable
multivibrators output is dependent upon the application of two individual
trigger pulses, switch position “A” or position “B”.
34. A Bistable Multivibrators can produce a very short output pulse or a much
longer rectangular shaped output whose leading edge rises in time with the
externally applied trigger pulse and whose trailing edge is dependent upon a
second trigger pulse as shown below.
Bistable Multivibrator Waveform
36. If a negative trigger pulse is now applied at the
input, the fast decaying edge of the pulse will pass
straight through capacitor, C1 to the base of
transistor, TR1 via the blocking diode turning it
“ON”. The collector of TR1 which was previously
at Vcc drops quickly to below zero volts effectively
giving capacitor CT a reverse charge of -0.7v across
its plates. This action results in transistor TR2 now
having a minus base voltage at point X holding the
transistor fully “OFF”. This then represents the
circuits second state, the “Unstable State” with an
output voltage equal to Vcc.
37. Timing capacitor, CT begins to discharge this -0.7v
through the timing resistor RT, attempting to
charge up to the supply voltage Vcc. This negative
voltage at the base of transistor TR2 begins to
decrease gradually at a rate determined by the
time constant of the RT CT combination. As the base
voltage of TR2 increases back up to Vcc, the
transistor begins to conduct and doing so turns
“OFF” again transistor TR1 which results in the
monostable multivibrator automatically returning
back to its original stable state awaiting a second
negative trigger pulse to restart the process once
again.
Editor's Notes
It is a non-linear device since the input is given across the non inverting input (+). Whereas, integrator and differentiators are linear device since the input is given across the inverting input(-).