Download GTU BE/B.Tech 2019 Winter 6th Sem New 2160407 Instrumentation And Control For Bioengineering Question Paper

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Subject Code: 2160407

GUJARAT TECHNOLOGICAL UNIVERSITY

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BE - SEMESTER- VI (New) EXAMINATION - WINTER 2019
Subject Name: Instrumentation and Control for Bioengineering
Time: 02:30 PM TO 05:00 PM

Instructions:

1. Attempt all questions.

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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]

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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. [07]
a) f(s)= S(1,S+1)(1,5+1)
b) x(s) = S(5²-25+5)

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OR
Solve the following differential equation by Laplace Transform.
d³x+2d²x dx 442t
—+2——-—-2x= e
de³ dt² dt .,

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x(0)=1,x0)=0,x (0)=1

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. [07]
(b) Explain the various terms, used to describe an under damped second order response. [03]
(c) Discuss the transfer function for P, PI and PID controller and its merits and demerits. [04]
OR

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A proportional controller is used to control temperature within the range of 70°C to 100°C. The controller is adjusted so that the output pressure goes from 3 Psi to 15 Psi as the measured temperature goes from 72° to 75°C, with the set point held constant. Find the gain and proportional band. [07]

Q.4 (a) Explain advantages and disadvantages of higher gain Kc. [03]
(b) A thermometer with time constant 7 sec showing a steady temperature of 30°C is suddenly immersed in heated oil bath at 150°C. Find [04]
a) Time required for temperature reading of 100°C.
b) Time required for the 80 % response

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(c) What are parts of a measuring instrument? [07]
Explain dynamic and Static characteristics of an instrument.
Discuss pressure spring thermometer.
OR
Describe various viscosity measurement methods? [07]

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Q.5 (a) Write a note on Bellows differential pressure element with neat sketch. [03]
(b) What is a second order process? Write its transfer function. [04]
(c) Plot Bode diagram for First order control system. [07]
What is thermal well? Why is it used? How thermal well affect the dynamic response of the thermometer?
OR

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Define Amplitude ratio and Phase angle. [03]
List different flow meters used in industry. Explain working of Venturimeter. [04]
Draw a schematic diagram for displacement float liquid level gage and describe in details. [07]

Date: 09/12/2019
Total Marks: 70

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