Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 6th Sem New 2160407 Instrumentation And Control For Bioengineering Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VI (New) EXAMINATION ? WINTER 2019
Subject Code: 2160407 Date: 09/12/2019
Subject Name: Instrumentation and Control for Bioengineering
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Derive Laplace transform of Ramp Function. 03
(b) Give mathematical equation for Initial Value Theorem and Final Value
Theorem.
04
(c) Derive the transfer function for Mercury in glass thermometer clearly
indicating the assumption made. What is the significance of time constant?
07
Q.2 (a) Define and explain the Time constant. 03
(b) Compare the two tank non-interacting and two tank interacting processes.
Also write their transfer functions.
04
(c) Find the inverse of the following functions.
a) ?? (?? ) =
1
?? (?? 1
?? +1)(?? 2
?? +1)
b) ?? (?? ) =
1
?? (?? 2
?2?? +5)
07
OR
(c) Solve the following differential equation by Laplace Transform.
?? 3
?? ?? ?? 3
+ 2
?? 2
?? ?? ?? 2
?
???? ???? ? 2?? = 4 + ?? 2??
?? (0) = 1, ?? ?
(0) = 0, ?? ??
(0) = 1
07
Q.3 (a) A control system has time constants of 1.5 minute and 2 minute and a P ?
controller. Obtain the response of the closed loop for a unit step change in
the set point, and controller gain that gives a damping ratio of 0.5.
03
(b) Explain the various terms used to describe an under damped second order
response.
04
(c) Discuss the transfer function for P, PI and PID controller and its merits and
demerits.
07
OR
Q.3 (a) A proportional controller is used to control temperature within the range of
70
o
C to 100
o
C. The controller is adjusted so that the output pressure goes
from 3 Psi to 15 Psi as the measured temperature goes from 72
o
to 75
o
C, with
the set point held constant. Find the gain and proportional band.
03
(b) Explain advantages and disadvantages of higher gain KC. 04
(c) A thermometer with time constant 7 sec showing a steady temperature of
30
0
C is suddenly immersed in heated oil bath at 150
0
C. Find
a) Time required for temperature reading of 100
0
C.
b) Time required for the 80 % response
07
Q.4 (a) What are parts of a measuring instrument? 03
(b) Explain dynamic and Static characteristics of an instrument. 04
(c) Discuss pressure spring thermometer. 07
OR
Q.4 (a) Describe various viscosity measurement methods? 03
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VI (New) EXAMINATION ? WINTER 2019
Subject Code: 2160407 Date: 09/12/2019
Subject Name: Instrumentation and Control for Bioengineering
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Derive Laplace transform of Ramp Function. 03
(b) Give mathematical equation for Initial Value Theorem and Final Value
Theorem.
04
(c) Derive the transfer function for Mercury in glass thermometer clearly
indicating the assumption made. What is the significance of time constant?
07
Q.2 (a) Define and explain the Time constant. 03
(b) Compare the two tank non-interacting and two tank interacting processes.
Also write their transfer functions.
04
(c) Find the inverse of the following functions.
a) ?? (?? ) =
1
?? (?? 1
?? +1)(?? 2
?? +1)
b) ?? (?? ) =
1
?? (?? 2
?2?? +5)
07
OR
(c) Solve the following differential equation by Laplace Transform.
?? 3
?? ?? ?? 3
+ 2
?? 2
?? ?? ?? 2
?
???? ???? ? 2?? = 4 + ?? 2??
?? (0) = 1, ?? ?
(0) = 0, ?? ??
(0) = 1
07
Q.3 (a) A control system has time constants of 1.5 minute and 2 minute and a P ?
controller. Obtain the response of the closed loop for a unit step change in
the set point, and controller gain that gives a damping ratio of 0.5.
03
(b) Explain the various terms used to describe an under damped second order
response.
04
(c) Discuss the transfer function for P, PI and PID controller and its merits and
demerits.
07
OR
Q.3 (a) A proportional controller is used to control temperature within the range of
70
o
C to 100
o
C. The controller is adjusted so that the output pressure goes
from 3 Psi to 15 Psi as the measured temperature goes from 72
o
to 75
o
C, with
the set point held constant. Find the gain and proportional band.
03
(b) Explain advantages and disadvantages of higher gain KC. 04
(c) A thermometer with time constant 7 sec showing a steady temperature of
30
0
C is suddenly immersed in heated oil bath at 150
0
C. Find
a) Time required for temperature reading of 100
0
C.
b) Time required for the 80 % response
07
Q.4 (a) What are parts of a measuring instrument? 03
(b) Explain dynamic and Static characteristics of an instrument. 04
(c) Discuss pressure spring thermometer. 07
OR
Q.4 (a) Describe various viscosity measurement methods? 03
2
(b) Explain the working of any one type of pyrometer. 04
(c) Write a note on Bellows differential pressure element with neat sketch. 07
Q.5 (a) What is a second order process? Write its transfer function. 03
(b) Plot Bode diagram for First order control system. 04
(c) What is thermal well? Why is it used? How thermal well affect the dynamic
response of the thermometer?
07
OR
Q.5 (a) Define Amplitude ratio and Phase angle. 03
(b) List different flow meters used in industry. Explain working of Venturimeter. 04
(c) Draw a schematic diagram for displacement float liquid level gage and
describe in details.
07
*************
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This post was last modified on 20 February 2020