A heat-conducting sphere of radius a is composed of two hemispheres with an insulating infinitesimal space between them, as shown in the figure. The upper and lower halves of the sphere are in contact with thermal T, baths of temperatures +T, and -T, respectively. The sphere of radius a is inside another heat-conducting sphere of radius b with a temperature T2 +T -TV Calculate the temperature at the points: a) Within the inner sphere, b) In the region between the two spheres Figure: The hemispheres of the inner sphere are at different c) Outside the outer sphere temperatures
A heat-conducting sphere of radius a is composed of two hemispheres with an insulating infinitesimal space between them, as shown in the figure. The upper and lower halves of the sphere are in contact with thermal T, baths of temperatures +T, and -T, respectively. The sphere of radius a is inside another heat-conducting sphere of radius b with a temperature T2 +T -TV Calculate the temperature at the points: a) Within the inner sphere, b) In the region between the two spheres Figure: The hemispheres of the inner sphere are at different c) Outside the outer sphere temperatures
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:A heat-conducting sphere of radius a is composed of two
hemispheres with an insulating infinitesimal space
between them, as shown in the figure. The upper and
lower halves of the sphere are in contact with thermal
T, baths of temperatures +T, and -T1, respectively. The
sphere of radius a is inside another heat-conducting
sphere of radius b with a temperature T,
+T
-TV
Calculate the temperature at the points:
a) Within the inner sphere,
b) In the region between the two spheres
Figure: The hemispheres of the
inner sphere are at different
c) Outside the outer sphere
temperatures
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