A mercury thermometer having a time constant of 0.1 min is placed in a temperature bath at 100 F and allowed to come to equilibrium with the bath. At time t 0, the temperature of the bath begins to vary sinusoidally about its average temperature of 100 °F with an amplitude of 2 °F. If the frequency of oscillation is 10/TT cycles/min, derive the ultimate response equation of the thermometer reading as a function of time. What is phase lag?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2:
A mercury thermometer having a time constant of 0.1 min is placed in a temperature
bath at 100 F and allowed to come to equilibrium with the bath. At time t 0, the
temperature of the bath begins to vary sinusoidally about its average temperature of
100 °F with an amplitude of 2 °F. If the frequency of oscillation is 10/T] cycles/min,
derive the ultimate response equation of the thermometer reading as a function of
time. What is phase lag?
Transcribed Image Text:Q2: A mercury thermometer having a time constant of 0.1 min is placed in a temperature bath at 100 F and allowed to come to equilibrium with the bath. At time t 0, the temperature of the bath begins to vary sinusoidally about its average temperature of 100 °F with an amplitude of 2 °F. If the frequency of oscillation is 10/T] cycles/min, derive the ultimate response equation of the thermometer reading as a function of time. What is phase lag?
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