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A thermocouple is immersed in a liquid to monitor its temperature fluctuations Assume the thermocouple acts as a first order system The temperature fluctuations in degrees Celsius vary in time as

A thermocouple is immersed in a liquid to monitor its temperature fluctuations. Assume the thermocouple acts as a first-order system. The temperature fluctuations (in degrees Celsius) vary in time as T (t) = 50 + 25 (4t). The output of the thermocouple transducer system (in V) is linearly proportional to temperature and has a static sensitivity of 2 mV/ ◦C. A step-input calibration of the system reveals that its rise time is 4.6 s. Determine the system’s

(a) Time constant (in seconds),

(b) Output E(t) (in ), and

(c) Time lag (in seconds) at ω = 0.2 /s.

Jul 26 2020 View more View Less

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