A thermocouple is connected to a data acquisition system which is used to measure temperature of air in a duct. For a step-input, the system measures the temperature accurately at steady state. Assume the dynamics of the sensor(thermocouple) limit the system's speed of response. The sensor has a time constant of 0.5 sec. In a given situation, the duct's air temperature varies with time as a sinusoid of frequency 2 rad/s with amplitude of 10°C. In this case, the measured temperature by the system is a sinusoid as well, as a function of time. The amplitude of this (measured) sinusoid, at steady-state, is closest to: Select one: а. 10°с O b. 5°C C. 3°C d. 7°C

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A thermocouple is connected to a data acquisition system which is used to measure temperature of air
in a duct. For a step-input, the system measures the temperature accurately at steady state. Assume the
dynamics of the sensor(thermocouple) limit the system's speed of response. The sensor has a time
constant of 0.5 sec. In a given situation, the duct's air temperature varies with time as a sinusoid of
frequency 2 rad/s with amplitude of 10°C. In this case, the measured temperature by the system is a
sinusoid as wellI, as a function of time. The amplitude of this (measured) sinusoid, at steady-state, is
closest to:
Select one:
а.
10°C
b. 5°C
С.
3°C
O d. 7°C
Transcribed Image Text:A thermocouple is connected to a data acquisition system which is used to measure temperature of air in a duct. For a step-input, the system measures the temperature accurately at steady state. Assume the dynamics of the sensor(thermocouple) limit the system's speed of response. The sensor has a time constant of 0.5 sec. In a given situation, the duct's air temperature varies with time as a sinusoid of frequency 2 rad/s with amplitude of 10°C. In this case, the measured temperature by the system is a sinusoid as wellI, as a function of time. The amplitude of this (measured) sinusoid, at steady-state, is closest to: Select one: а. 10°C b. 5°C С. 3°C O d. 7°C
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