4.4 An uncompensated thermocouple has a time constant of 10 s in a fast-moving liquid. Calculate the bandwidth of the thermocouple frequency response. (a) (b) Find the range of frequencies for which the amplitude ratio of the uncompensated thermocouple is flat within ±5%. (c) A lead/lag circuit with transfer function G(s) = (1 + 10s)/(1 + s) is used to compensate for thermocouple dynamics. Calculate the range of frequencies for which the amplitude ratio of the compensated system is flat within ±5%. (d) The velocity of the liquid is reduced, causing the thermocouple time constant to increase to 20 s. By sketching |G(jw)| explain why the effectiveness of the above compensation is reduced.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question

The assignment is about dynamic characteristics of measurement systems

4.4
An uncompensated thermocouple has a time constant of 10 s in a fast-moving liquid.
Calculate the bandwidth of the thermocouple frequency response.
(a)
(b)
Find the range of frequencies for which the amplitude ratio of the uncompensated
thermocouple is flat within ±5%.
(c)
A lead/lag circuit with transfer function G(s) = (1 + 10s)/(1 + s) is used to compensate
for thermocouple dynamics. Calculate the range of frequencies for which the amplitude
ratio of the compensated system is flat within ±5%.
The velocity of the liquid is reduced, causing the thermocouple time constant to
increase to 20 s. By sketching |G(jw)| explain why the effectiveness of the above
compensation is reduced.
(d)
Transcribed Image Text:4.4 An uncompensated thermocouple has a time constant of 10 s in a fast-moving liquid. Calculate the bandwidth of the thermocouple frequency response. (a) (b) Find the range of frequencies for which the amplitude ratio of the uncompensated thermocouple is flat within ±5%. (c) A lead/lag circuit with transfer function G(s) = (1 + 10s)/(1 + s) is used to compensate for thermocouple dynamics. Calculate the range of frequencies for which the amplitude ratio of the compensated system is flat within ±5%. The velocity of the liquid is reduced, causing the thermocouple time constant to increase to 20 s. By sketching |G(jw)| explain why the effectiveness of the above compensation is reduced. (d)
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