INSTRUMENTATION AND CONTROL
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2022102404
B.Tech 4th Semester Exam., 2022
Instructions
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct answer of the following (any seven):
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Q1.1
Which of the following causes a controlled variable to change?
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Q1.2
What is the resolution of a DAC with a maximum voltage of 15 volts and five input lines?
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Q1.3
The derivative function gives the actuator ___________.
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Q1.4
A square wave that is 20 volts at its On state and 0 volt at its Off state will produce an average DC voltage of ___________ when duty cycle is 75%.
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Q1.5
The resistance of an RTD is:
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Q1.6
Which of the following valves has the greatest flow capacity of all control valves?
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Q1.7
A unity feedback system has open-loop transfer function as $ G(s) = \frac{16}{s(s+16)} $. The natural frequency of the system is:
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Q1.8
Which of the following represents the application of inductive transducers?
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Q1.9
Which of the following can act as a comparator?
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Q1.10
Transfer function represents the input-output relationship of a system, with initial conditions as:
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Q.2 Solve both questions :
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Q2.1
Define the following: (i) Transducer (ii) Resolution (iii) Linearity (iv) Accuracy (v) Repeatability (vi) Calibration (vii) Backlash
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Q2.2
Discuss in detail about the classification and elimination of error.
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Q.3 Solve both questions :
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Q3.1
Differentiate among piezoelectric, inductive and capacitance-type transducers.
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Q3.2
What are pyrometers? Explain with the help of neat sketch.
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Q.4 Solve both questions :
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Q4.1
Explain the working of electrical resistance strain gauge. Explain how the resistance change of a strain gauge is measured with the help of Wheatstone bridge. Also, explain the methods of lead wire compensation and temperature compensation in case of strain gauge.
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Q4.2
Explain the five basic laws of thermocouple behaviour and how these laws are useful in designing thermocouple for temperature measurement.
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Q.5 Solve all questions :
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Q5.1
Consider a system with controller $ G_c $, reference input $ R $, and disturbance input $ D $ acting on the plant $ \frac{1}{s(s+2)} $. If $ G_c $ is a proportional controller, $ G_c = K_p $, what value of $ K_p $ will cause the steady-state error for a unit ramp reference input to be 0.1?
(a) If $ G_c $ is a proportional controller, $ G_c = K_p $, what value of $ K_p $ will cause the steady-state error for a unit ramp reference input to be 0.1?
(b) If zero steady-state error for a unit ramp reference input is required, what form should the controller $ G_c $ take?
(c) For a unit-step disturbance input, what form of controller $ G_c $ should be chosen to make the steady-state error zero?
(d) Assume that the reference input is a unit step, the disturbance input is zero and proportional controller being used. What value (or values) of $ K_p $ will yield an underdamped system with a settling time of 4 seconds?
(e) Considering the same case as in part (d), what effect does increasing $ K_p $ have on the damping ratio?

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Q.6 Solve both questions :
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Q6.1
With the help of a suitable example, explain the difference between open-loop control and closed-loop control.
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Q6.2
For a given mechanical translational system with masses $ M_1, M_2 $, springs $ K_1, K_2 $, and damper $ B $, find out the transfer function $ \frac{X(s)}{F(s)} $.

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Q.7 Solve both questions :
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Q7.1
Explain the operations of the following: (i) Inverting op-amp (ii) Summing op-amp (iii) Differentiating op-amp (iv) Integrating op-amp.
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Q7.2
What are the important requirements of a signal conditioner and how are they met?
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Q.8 Solve this question :
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Q8.1
For the open-loop transfer function $ G(s) = \frac{400(s+1)(s+10)}{s^3(s+100)(s+1000)} $, sketch the Bode magnitude and phase diagrams. Sketch the diagrams for each term and then also sketch the total diagrams. Show the slopes of each section and of the total diagram.
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Q.9 Write short notes on any four of the following:
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Q9.1
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2022V4102404
B.Tech 4th Semester Exam., 2022
Instructions
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct answer of the following (any seven):
Ask AI
Q1.1
Which of the following causes a controlled variable to change?
Ask AI
Q1.2
What is the resolution of a DAC with a maximum voltage of 15 volts and five input lines?
Ask AI
Q1.3
The derivative function gives the actuator ___________.
Ask AI
Q1.4
A square wave that is 20 volts at its On state and 0 volt at its Off state will produce an average DC voltage of ___________ when duty cycle is 75%.
Ask AI
Q1.5
The resistance of an RTD is:
Ask AI
Q1.6
Which of the following valves has the greatest flow capacity of all control valves?
Ask AI
Q1.7
A unity feedback system has open-loop transfer function as $ G(s) = \frac{16}{s(s+16)} $. The natural frequency of the system is:
Ask AI
Q1.8
Which of the following represents the application of inductive transducers?
Ask AI
Q1.9
Which of the following can act as a comparator?
Ask AI
Q1.10
Transfer function represents the input-output relationship of a system, with initial conditions as:
Ask AI
Q.2 Solve both questions :
Ask AI
Q2.1
Define the following: (i) Transducer (ii) Resolution (iii) Linearity (iv) Accuracy (v) Repeatability (vi) Calibration (vii) Backlash
Ask AI
Q2.2
Discuss in detail about the classification and elimination of error.
Ask AI
Q.3 Solve both questions :
Ask AI
Q3.1
Differentiate among piezoelectric, inductive and capacitance-type transducers.
Ask AI
Q3.2
What are pyrometers? Explain with the help of neat sketch.
Ask AI
Q.4 Solve both questions :
Ask AI
Q4.1
Explain the working of electrical resistance strain gauge. Explain how the resistance change of a strain gauge is measured with the help of Wheatstone bridge. Also, explain the methods of lead wire compensation and temperature compensation in case of strain gauge.
Ask AI
Q4.2
Explain the five basic laws of thermocouple behaviour and how these laws are useful in designing thermocouple for temperature measurement.
Ask AI
Q.5 Solve all questions :
Ask AI
Q5.1
Consider a system with controller $ G_c $, reference input $ R $, and disturbance input $ D $ acting on the plant $ \frac{1}{s(s+2)} $. If $ G_c $ is a proportional controller, $ G_c = K_p $, what value of $ K_p $ will cause the steady-state error for a unit ramp reference input to be 0.1?
(a) If $ G_c $ is a proportional controller, $ G_c = K_p $, what value of $ K_p $ will cause the steady-state error for a unit ramp reference input to be 0.1?
(b) If zero steady-state error for a unit ramp reference input is required, what form should the controller $ G_c $ take?
(c) For a unit-step disturbance input, what form of controller $ G_c $ should be chosen to make the steady-state error zero?
(d) Assume that the reference input is a unit step, the disturbance input is zero and proportional controller being used. What value (or values) of $ K_p $ will yield an underdamped system with a settling time of 4 seconds?
(e) Considering the same case as in part (d), what effect does increasing $ K_p $ have on the damping ratio?

Ask AI
Q.6 Solve both questions :
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Q6.1
With the help of a suitable example, explain the difference between open-loop control and closed-loop control.
Ask AI
Q6.2
For a given mechanical translational system with masses $ M_1, M_2 $, springs $ K_1, K_2 $, and damper $ B $, find out the transfer function $ \frac{X(s)}{F(s)} $.

Ask AI
Q.7 Solve both questions :
Ask AI
Q7.1
Explain the operations of the following: (i) Inverting op-amp (ii) Summing op-amp (iii) Differentiating op-amp (iv) Integrating op-amp.
Ask AI
Q7.2
What are the important requirements of a signal conditioner and how are they met?
Ask AI
Q.8 Solve this question :
Ask AI
Q8.1
For the open-loop transfer function $ G(s) = \frac{400(s+1)(s+10)}{s^3(s+100)(s+1000)} $, sketch the Bode magnitude and phase diagrams. Sketch the diagrams for each term and then also sketch the total diagrams. Show the slopes of each section and of the total diagram.
Ask AI