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.

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

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