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Subject Code: 2150504
GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020
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Subject Name: Instrumentation & Process Control
Time: 10:30 AM TO 12:30 PM
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Date: 20/01/2021
Total Marks: 56
Instructions:
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- Attempt any FOUR questions out of EIGHT questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q-1 (a) State and prove initial value theorem. 03
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(b) Define: 1. Set point 2. Phase margin 3. Manipulated variable 4. Overshoot 04
(c) Derive the sinusoidal response for mercury thermometer. What is phase lag and phase lead? 07
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Q-2 (a) Discuss and derive transfer function of Mixing process. 03
(b) Define Unit pulse input function. Derive its transfer function. 04
(c) Derive the transfer function for a system of two tanks in series in non interacting manner. 07
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Q.3 (a) Discuss servo problem and regulator problem. 03
(b) Explain the general block diagram of any feedback control system with industrial example. 04
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(c) A control system having transfer function is expressed as 07
G(s) = Y(s) / X(s) = 5 / (t3s2+20ts+1)
The radian frequency for control system is 1.9 rad/min. the time constant is 0.5 min. Calculate (1) Overshoot (2) Cyclical frequency (3) Maximum value of Y(t).
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Q.4 (a) Write a short note on transfer function of control valve. 03
(b) Write in brief about PI controllers and its transfer function. 04
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(c) Determine the overall transfer function C(s)/R(s) for the system shown in below figure. 07
Q.5 (a) A pneumatic proportional controller is used to control temperature within the range of 60 to 100 °F. The controller is adjusted so that the output pressure goes from 3 psi (Valve fully open) to 15 psi (Valve fully closed) as the measured temperature goes for 71 to 75 °F with the set point held constant. Find the gain and the proportional band. 03
(b) Discuss the characteristics of second order underdamped system. 04
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(c) Determine the stability of system whose characteristic equation is 07
G(s) =2s5 +3s4 +2s3 + 2s2 + 2s + 2
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Q.6 (a) Explain the following static characteristics of an instrument. 03
(b) Define stability of system. Discuss the general stability criteria. 07
Q.7 (a) What is bode diagram? Explain bode diagram for first order system. 03
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(b) Explain in short the air trap method for level measurement. 04
(c) Discuss the pitot tube for flow measurement. 07
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Q.8 (a) Give the classification for various temperature measurement instruments. 03
(b) Explain Bimetallic thermometer with neat sketch. 04
(c) Explain the following pressure measurement instruments: 1. Inclined leg manometer 2. Capsule pressure gauge 07
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