In a test the response of a thermocouple system was found to be a simple lag with time constant of 10s. If the system is used to measure the temperature of a furnace which is fluctuating approximately sinusoidal between the temperature 140C and 500C with a periodic time of 80s. Determine the approximate maximum and minimum values the thermocouple will indicate and find the phase angle and corresponding time lag between the input and output signals.
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