Analog Circuits
Unit 4
10 hrs, Semester 4, ECE
By : Swamy T N
Assistant Professor
ECE Department, Dr. Ambedkar Institute of Technology, Bengaluru
Mob: 9620216633
Email: swamyohm@gmail.com
Op-amp with Negative Feedback
Syllabus contents
• Op-Amp with Negative Feedback and general
applications Inverting and Non inverting Amplifiers –
Closed Loop voltage gain, Input impedance, Output
impedance, Bandwidth, Total output offset voltage
with feedback. DC and AC Amplifiers, Summing, Scaling
and Averaging Amplifiers, Instrumentation amplifier,
Comparators, Zero Crossing Detector, Schmitt trigger.
• Text Book: Ramakant A Gayakwad, “Op-Amps and
Linear Integrated Circuits”, 4th edition, Pearson
Education, 2000
2
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
3
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier
4
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
Negative Feedback
5
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback closed loop
voltage gain
6
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback closed loop
voltage gain
7
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback closed loop
voltage gain
8
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback closed loop
voltage gain
9
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
difference input voltage ideally zero
10
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
input resistance with feedback
11
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
input resistance with feedback
12
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
input resistance with feedback
13
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
output resistance with feedback
14
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
output resistance with feedback
15
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
output resistance with feedback
16
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
output resistance with feedback
17
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
output resistance with feedback
18
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
(bandwidth with feedback)
19
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
(bandwidth with feedback)
20
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage series feedback amplifier-
(bandwidth with feedback)
21
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
22
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Total output offset voltage with
feedback
23
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage follower
24
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
25
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage shunt feedback amplifier
26
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage shunt feedback amplifier-
closed loop gain
27
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage shunt feedback amplifier-
closed loop gain
28
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Voltage shunt feedback amplifier-
closed loop gain
29
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Inverting input terminal at virtual
ground
30
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Input resistance with feedback
31
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Output resistance with feedback
32
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Bandwidth with feedback
33
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
Total output offset voltage with
feedback
34
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
DC Amplifier
• In DC amplifier, the output signal changes in response
to changes in its DC input levels.
• The DC amplifier can be inverting, non-inverting or
differential as shown in fig 6.1
• To reduce the output offset voltage to zero, that is, to
improve the accuracy of the DC amplifer, the offset null
circuitry of the op-amp should be used. For op-amp
without offset null capability, the external offset
voltage compensating network should be used as
shown in Fig 6.2.
• Otherwise, a high-precision op-amp such as the uA714,
which has smaller offset and drifts must be used.
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
35
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
36
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
37
AC Amplifier
• Circuits shown in figure 6.1 and 6.2 respond
to ac input signal as well.
• To prevent the amplification of dc levels
coupling capacitors must be used between the
stages.
• Figure 6.3 shows the AC inverting and
noninverting amplifiers with coupling
capacitors.
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
38
AC amplifier
• The coupling capacitor not only block the DC voltage
but also sets the low-frequency cutoff limit, which is
given by
• fL = 1/[2πCi(RiF + Ro)]
• Where
• fL = low frequency cutoff or low end of the bandwidth
• Ci = capacitance between two stages being coupled or
dc blocking capacitors
• RiF = AC input resistance of the second stage
• Ro = AC output resistance of the first stage or the
source resistance, Rin
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
39
AC amplifier
• The bandwidth of the amplifier
• BW = fH – fL Depends on the desired value of fL and the
closed loop gain of the amplifier
• The coupling capacitor Ci, besides providing the low-
frequency cutoff limit, also helps to eliminate dc level
amplification from stage to stage.
• The closed loop gain of inverting amplifier is AF = - RF/R1
• The closed loop gain of noninverting amplifier is
AF = 1 + RF/R1
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
40
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
41
Summing Scaling and averaging
amplifiers
• Inverting configurations
– Summing amplifier
– Scaling or weighted amplifer
– Average circuit
• Noninverting configuration
– Averaging amplifier
– Summing amplifier
• Differential configuration
– Subtractor
– Summing amplifier
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
42
Inverting configuration
• Figure 6.6 shows
inverting configuration
with three inputs Va, Vb,
Vc.
• Depending upon the
relationship between
feedback resistor RF and
the input resistors Ra, Rb,
Rc, the circuit can be used
as a summing amplifier,
scaling amplifier, or an
averaging amplifier.
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
43
Inverting configuration
• KCL at node V2
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
44
Inverting configuration-summing
amplifier
• Here Ra = Rb = Rc = R, then output voltage
expression is
• Vo = -RF(Va + Vb + Vc)/R
• This means that the output voltage is
equal to the negative sum of all the input
times the gain of the circuit RF/R: hence
the circuit is called as summing amplifier.
• When the gain of the circuit is 1, that is
Ra=Rb=Rc=RF, the output voltage is equal
to the negative sum of all input voltages.
• Thus
• Vo = -(Va + Vb + Vc)
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
45
Inverting configuration-scaling or
weighted amplifier
• If each input voltage is amplifier by a
different factor, in other words,
weighted differently at the output,
the circuit is then called a scaling or
weighted amplifier.
• Ra, Rb, and Rc are different
• Thus the output voltage of the scaling
amplifier is
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
46
Inverting configuration-Average Circuit
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
47
Non inverting configuration
If input voltage sources and
resistors are connected to
the noninverting terminal as
shown.
The circuit can be used
either as a summing or
averaging amplifier through
selection of appropriate
values of resistors that is R1
and RF
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
48
Non inverting configuration
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
49
Non inverting configuration- averaging
amplifier
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
50
• Equation shows that the
output voltage is equal to
the average of all input
voltages times the gain of
the circuit (1+RF/R1),
hence the name
averaging amplifier.
• If the gain is 1, the output
voltage will be equal to
the average of all input
voltages.
Non inverting configuration- summing
amplifier
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
51
Differential configuration- A subtractor
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
52
Differential Configuration-Summing
amplifier
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
53
Fig: Deriving the output voltage equation for
the summing amplifier shown above
Fig: Summing amplifier using differential
configuration
Instrumentation amplifier
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
54
Refer text book for theory
Instrumentation amplifier using
transducer bridge
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
55
Refer text book for theory
• Comparator
• Zero crossing detector
• Schmitt trigger
Given as self study assignment
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
56
Swamy TN, Assistant Professor, ECE, Dr.AIT,
Bengaluru
57
Note: slides are only for reference. It is mandatory to refer prescribed Text book
Text Book: Op-Amps and Linear Integrated Circuits by Ramakant A. Gayakwad

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Analog circuits unit 4

  • 1. Analog Circuits Unit 4 10 hrs, Semester 4, ECE By : Swamy T N Assistant Professor ECE Department, Dr. Ambedkar Institute of Technology, Bengaluru Mob: 9620216633 Email: swamyohm@gmail.com Op-amp with Negative Feedback
  • 2. Syllabus contents • Op-Amp with Negative Feedback and general applications Inverting and Non inverting Amplifiers – Closed Loop voltage gain, Input impedance, Output impedance, Bandwidth, Total output offset voltage with feedback. DC and AC Amplifiers, Summing, Scaling and Averaging Amplifiers, Instrumentation amplifier, Comparators, Zero Crossing Detector, Schmitt trigger. • Text Book: Ramakant A Gayakwad, “Op-Amps and Linear Integrated Circuits”, 4th edition, Pearson Education, 2000 2 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 3. 3 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 4. Voltage series feedback amplifier 4 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 5. Voltage series feedback amplifier- Negative Feedback 5 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 6. Voltage series feedback closed loop voltage gain 6 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 7. Voltage series feedback closed loop voltage gain 7 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 8. Voltage series feedback closed loop voltage gain 8 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 9. Voltage series feedback closed loop voltage gain 9 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 10. Voltage series feedback amplifier- difference input voltage ideally zero 10 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 11. Voltage series feedback amplifier- input resistance with feedback 11 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 12. Voltage series feedback amplifier- input resistance with feedback 12 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 13. Voltage series feedback amplifier- input resistance with feedback 13 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 14. Voltage series feedback amplifier- output resistance with feedback 14 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 15. Voltage series feedback amplifier- output resistance with feedback 15 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 16. Voltage series feedback amplifier- output resistance with feedback 16 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 17. Voltage series feedback amplifier- output resistance with feedback 17 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 18. Voltage series feedback amplifier- output resistance with feedback 18 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 19. Voltage series feedback amplifier- (bandwidth with feedback) 19 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 20. Voltage series feedback amplifier- (bandwidth with feedback) 20 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 21. Voltage series feedback amplifier- (bandwidth with feedback) 21 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 22. 22 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 23. Total output offset voltage with feedback 23 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 24. Voltage follower 24 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 25. 25 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 26. Voltage shunt feedback amplifier 26 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 27. Voltage shunt feedback amplifier- closed loop gain 27 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 28. Voltage shunt feedback amplifier- closed loop gain 28 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 29. Voltage shunt feedback amplifier- closed loop gain 29 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 30. Inverting input terminal at virtual ground 30 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 31. Input resistance with feedback 31 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 32. Output resistance with feedback 32 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 33. Bandwidth with feedback 33 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 34. Total output offset voltage with feedback 34 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru
  • 35. DC Amplifier • In DC amplifier, the output signal changes in response to changes in its DC input levels. • The DC amplifier can be inverting, non-inverting or differential as shown in fig 6.1 • To reduce the output offset voltage to zero, that is, to improve the accuracy of the DC amplifer, the offset null circuitry of the op-amp should be used. For op-amp without offset null capability, the external offset voltage compensating network should be used as shown in Fig 6.2. • Otherwise, a high-precision op-amp such as the uA714, which has smaller offset and drifts must be used. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 35
  • 36. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 36
  • 37. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 37
  • 38. AC Amplifier • Circuits shown in figure 6.1 and 6.2 respond to ac input signal as well. • To prevent the amplification of dc levels coupling capacitors must be used between the stages. • Figure 6.3 shows the AC inverting and noninverting amplifiers with coupling capacitors. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 38
  • 39. AC amplifier • The coupling capacitor not only block the DC voltage but also sets the low-frequency cutoff limit, which is given by • fL = 1/[2πCi(RiF + Ro)] • Where • fL = low frequency cutoff or low end of the bandwidth • Ci = capacitance between two stages being coupled or dc blocking capacitors • RiF = AC input resistance of the second stage • Ro = AC output resistance of the first stage or the source resistance, Rin Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 39
  • 40. AC amplifier • The bandwidth of the amplifier • BW = fH – fL Depends on the desired value of fL and the closed loop gain of the amplifier • The coupling capacitor Ci, besides providing the low- frequency cutoff limit, also helps to eliminate dc level amplification from stage to stage. • The closed loop gain of inverting amplifier is AF = - RF/R1 • The closed loop gain of noninverting amplifier is AF = 1 + RF/R1 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 40
  • 41. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 41
  • 42. Summing Scaling and averaging amplifiers • Inverting configurations – Summing amplifier – Scaling or weighted amplifer – Average circuit • Noninverting configuration – Averaging amplifier – Summing amplifier • Differential configuration – Subtractor – Summing amplifier Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 42
  • 43. Inverting configuration • Figure 6.6 shows inverting configuration with three inputs Va, Vb, Vc. • Depending upon the relationship between feedback resistor RF and the input resistors Ra, Rb, Rc, the circuit can be used as a summing amplifier, scaling amplifier, or an averaging amplifier. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 43
  • 44. Inverting configuration • KCL at node V2 Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 44
  • 45. Inverting configuration-summing amplifier • Here Ra = Rb = Rc = R, then output voltage expression is • Vo = -RF(Va + Vb + Vc)/R • This means that the output voltage is equal to the negative sum of all the input times the gain of the circuit RF/R: hence the circuit is called as summing amplifier. • When the gain of the circuit is 1, that is Ra=Rb=Rc=RF, the output voltage is equal to the negative sum of all input voltages. • Thus • Vo = -(Va + Vb + Vc) Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 45
  • 46. Inverting configuration-scaling or weighted amplifier • If each input voltage is amplifier by a different factor, in other words, weighted differently at the output, the circuit is then called a scaling or weighted amplifier. • Ra, Rb, and Rc are different • Thus the output voltage of the scaling amplifier is Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 46
  • 47. Inverting configuration-Average Circuit Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 47
  • 48. Non inverting configuration If input voltage sources and resistors are connected to the noninverting terminal as shown. The circuit can be used either as a summing or averaging amplifier through selection of appropriate values of resistors that is R1 and RF Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 48
  • 49. Non inverting configuration Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 49
  • 50. Non inverting configuration- averaging amplifier Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 50 • Equation shows that the output voltage is equal to the average of all input voltages times the gain of the circuit (1+RF/R1), hence the name averaging amplifier. • If the gain is 1, the output voltage will be equal to the average of all input voltages.
  • 51. Non inverting configuration- summing amplifier Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 51
  • 52. Differential configuration- A subtractor Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 52
  • 53. Differential Configuration-Summing amplifier Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 53 Fig: Deriving the output voltage equation for the summing amplifier shown above Fig: Summing amplifier using differential configuration
  • 54. Instrumentation amplifier Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 54 Refer text book for theory
  • 55. Instrumentation amplifier using transducer bridge Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 55 Refer text book for theory
  • 56. • Comparator • Zero crossing detector • Schmitt trigger Given as self study assignment Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 56
  • 57. Swamy TN, Assistant Professor, ECE, Dr.AIT, Bengaluru 57 Note: slides are only for reference. It is mandatory to refer prescribed Text book Text Book: Op-Amps and Linear Integrated Circuits by Ramakant A. Gayakwad