A copper sphere with density 8900 kg/m3, radius 5.00 cm,and emissivity e = 1.00 sits on an insulated stand. The initial temperatureof the sphere is 300 K. The surroundings are very cold, so the rateof absorption of heat by the sphere can be neglected. (a) How long doesit take the sphere to cool by 1.00 K due to its radiation of heat energy?Neglect the change in heat current as the temperature decreases. (b) Toassess the accuracy of the approximation used in part (a), what is thefractional change in the heat current H when the temperaturechangesfrom 300 K to 299 K?
A copper sphere with density 8900 kg/m3, radius 5.00 cm,and emissivity e = 1.00 sits on an insulated stand. The initial temperatureof the sphere is 300 K. The surroundings are very cold, so the rateof absorption of heat by the sphere can be neglected. (a) How long doesit take the sphere to cool by 1.00 K due to its radiation of heat energy?Neglect the change in heat current as the temperature decreases. (b) Toassess the accuracy of the approximation used in part (a), what is thefractional change in the heat current H when the temperaturechangesfrom 300 K to 299 K?
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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Question
A copper sphere with density 8900 kg/m3, radius 5.00 cm,
and emissivity e = 1.00 sits on an insulated stand. The initial temperature
of the sphere is 300 K. The surroundings are very cold, so the rate
of absorption of heat by the sphere can be neglected. (a) How long does
it take the sphere to cool by 1.00 K due to its radiation of heat energy?
Neglect the change in heat current as the temperature decreases. (b) To
assess the accuracy of the approximation used in part (a), what is the
fractional change in the heat current H when the temperature
changes
from 300 K to 299 K?
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