A thermometer is initially at a room temperature of 25°C. At a time t =  0, the thermometer is dipped in a boiling water bath having a temperature  of 80°C. The thermometer is a first-order system with a time constant of  5.5 s. Plot the temperature reading versus time, showing in particular the  10-s reading. At what minimum time the thermometer will be within 10% of  response from the steady-state value?

EBK ELECTRICAL WIRING RESIDENTIAL
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ISBN:9781337516549
Author:Simmons
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Chapter19: Special-purpose Outlets-water Pump, Water Heater
Section19.2: Water Heater Branch Circuit
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 A thermometer is initially at a room temperature of 25°C. At a time t = 
0, the thermometer is dipped in a boiling water bath having a temperature 
of 80°C. The thermometer is a first-order system with a time constant of 
5.5 s. Plot the temperature reading versus time, showing in particular the 
10-s reading. At what minimum time the thermometer will be within 10% of 
response from the steady-state value?

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