2. Two copper-constantan thermocouples with 1 and 2 mm diameters are taken from ambient at 20 °C, and dipped into boiling water at 100 °C. a. Find the time constant for each TC, where Time Constant, t=mc/hA Assume: Density, p = 8500 kg/m3 Specific Heat, c = 400 J/kgK Heat transfer coefficient for the TC's is h = 400 W/m²C. b. Find the output from each thermocouple after 10 seconds in the boiling water. y = Kxo (1-e¹½) Temperature (C) 110 100 90 80 70 60 50 40 30 20 10 0 L 01 L 2 I 3 L 01 4 5 6 7 8 Time (s) I 9 10 1mm diameter 2mm diameter 11 L 12 13 14
2. Two copper-constantan thermocouples with 1 and 2 mm diameters are taken from ambient at 20 °C, and dipped into boiling water at 100 °C. a. Find the time constant for each TC, where Time Constant, t=mc/hA Assume: Density, p = 8500 kg/m3 Specific Heat, c = 400 J/kgK Heat transfer coefficient for the TC's is h = 400 W/m²C. b. Find the output from each thermocouple after 10 seconds in the boiling water. y = Kxo (1-e¹½) Temperature (C) 110 100 90 80 70 60 50 40 30 20 10 0 L 01 L 2 I 3 L 01 4 5 6 7 8 Time (s) I 9 10 1mm diameter 2mm diameter 11 L 12 13 14
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:2. Two copper-constantan thermocouples with 1 and 2 mm diameters are taken
from ambient at 20 °C, and dipped into boiling water at 100 °C.
a. Find the time constant for each TC, where Time Constant, t=mc/hA
Assume: Density, p = 8500 kg/m3
Specific Heat, c = 400 J/kgK
Heat transfer coefficient for the TC's is h = 400 W/m²C.
b. Find the output from each thermocouple after 10 seconds in the
boiling water.
y = Kxo (1-e¹½)
Temperature (C)
110
100
90
80
70
60
50
40
30
20
10
0
1
01
L
L
2 3
4
5
6
1
L
7 8
Time (s)
9
10
1mm diameter
2mm diameter
1
11 12 13 14
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