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You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.

You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.

Elements Of Electromagnetics
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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You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.
Transcribed Image Text:You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.
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