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Seat No.:
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Subject Code: 2150504
GUJARAT TECHNOLOGICAL UNIVERSITY
E - SEMESTER- V (New) EXAMINATION — WINTER 2019
Subject Name: Instrumentation & Process Control
Time: 10:30 AM TO 01:00 PM
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Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Give Laplace transform for 1) u(t) 2) e-atu(t) 3) cos kt u(t) [03]
(b) Solve d2x/dt2 + 2x = 2 given x(0)=0. [04]
(c) Explain: 1) Set point 2) Controlled Variable 3) Manipulated Variable 4) Offset 5) Positive feedback 6) Error 7) Disturbances [07]
OR
Q.2 (a) State the assumption used to derive the transform function for first order CSTR with first order reaction. [03]
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(b) Place the following transfer function in standard first-order form, and identify the time constant and the steady state gain using unit step input. y(s)/x(s) = 2/(s+1/3) [04]
(c) A mercury thermometer having a time constant of 0.1 min is placed in a temperature bath at 100°F and allowed to come to equilibrium with the bath. At time t = 0, the temperature of the bath begins to vary sinusoidally about its average temperature of 100°F with an amplitude of 2°F. If the frequency of oscillation is 10/p cycles/min, plot the ultimate response of the thermometer reading as a function of time. What is the phase lag? [07]
OR
Q.3 (a) Derive the transfer function for the first order liquid level system. [07]
(b) Write the significance of Damping co efficient. [03]
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(c) Differentiate between interacting and non-interacting system. [04]
Q.3 A step change of magnitude 4 is introduced into a system having the transfer function y(s)/x(s) = 16/(1.25s2+2.4s+6) Determine (a) Percent overshoot (b) Rise time (c) Period of oscillation (d) Natural period of oscillation [07]
OR
Q.4 (a) Write in brief about ON / OFF control. [03]
(b) Write in detail about double seated control valve. [04]
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(c) Discuss Servo and Regulatory problems in control system. [07]
Date: 21/11/2019
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Q.4 (a) Draw P and I diagram for control system with all components and signals. [03]
(b) Define: Dead zone, Drift, Precision, Dead time lag [04]
(c) Discuss construction and working of Orifice meter. [07]
OR
Q.4 (a) Explain Seeback effect of thermocouple. [03]
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(b) Describe about Absolute scale and Vacuum scale for pressure measurement. [04]
(c) Discuss Phase margin and Gain margin using stability criteria for Bode diagram. [07]
Q.5 (a) List various direct methods for level measurement. [03]
(b) Discuss working of Rotameter. [04]
(c) Write the characteristic equation and construct the Routh array for the control system shown in fig. Is the system stable for Kc = 9.5? [07]
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OR
Q.5 (a) Discuss sight glass method for level measurement. [03]
(b) Discuss working of U tube manometer. [04]
(c) Write in brief about Radiation Pyrometer. [07]
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