Problem 9-3: A T-type thermocouple is used to measure temperature difference across insulation in the ceiling of a residence in an energy monitoring program. The temperature difference across the insulation is used to calculate energy loss through the ceiling from the relationship Q = k Ac (AT) where Ac = ceiling area = 15 m² k = insulation thermal conductivity = 0.4 W m°C L = insulation thickness = 0.25 m AT = temperature difference = 5°C Q = heat loss (W) The value of the temperature difference is expected to be 5° C, and the thermocouple emf is measured with an uncertainty of ±0.04 mV. Determine the required number of thermopile junctions to yield an uncertainty in Q of ±5% (95%), assuming the uncertainty in all variables other than AT may be neglected.
Problem 9-3: A T-type thermocouple is used to measure temperature difference across insulation in the ceiling of a residence in an energy monitoring program. The temperature difference across the insulation is used to calculate energy loss through the ceiling from the relationship Q = k Ac (AT) where Ac = ceiling area = 15 m² k = insulation thermal conductivity = 0.4 W m°C L = insulation thickness = 0.25 m AT = temperature difference = 5°C Q = heat loss (W) The value of the temperature difference is expected to be 5° C, and the thermocouple emf is measured with an uncertainty of ±0.04 mV. Determine the required number of thermopile junctions to yield an uncertainty in Q of ±5% (95%), assuming the uncertainty in all variables other than AT may be neglected.
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:Problem 9-3: A T-type thermocouple is used to measure temperature difference
across insulation in the ceiling of a residence in an energy monitoring program. The
temperature difference across the insulation is used to calculate energy loss through
the ceiling from the relationship
Q = k Ac (AT)
where
Ac = ceiling area =
15 m²
k
=
insulation thermal conductivity
= 0.4
W
m°C
L
= insulation thickness = 0.25 m
AT = temperature difference = 5°C
Q
=
heat loss (W)
The value of the temperature difference is expected to be 5° C, and the thermocouple
emf is measured with an uncertainty of ±0.04 mV. Determine the required number of
thermopile junctions to yield an uncertainty in Q of ±5% (95%), assuming the
uncertainty in all variables other than AT may be neglected.
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