Example 10: Consider a long resistance wire of radius r1 = 0.2 cm and thermal conductivity kwire = 15 W/m·°C in which heat is generated uniformly as a result of resistance heating at a constant rate of g = 50 W/cm3. The wire is embedded in a 0.5-cm-thick layer of ceramic whose thermal conductivity is kceramic = 1.2 W/m·°C. If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C, determine the temperatures at the center of the resistance wire and the interface of the wire and the ceramic layer under steady conditions. Example 10: Consider a long resistance wire of radius rlcm and thermalconductivity kwire= 15 W/m-°C in which heat is generated uniformly as a result ofresistance heating at a constant rate ofg50 W/cm3. The wire is embedded in a0.5-cm-thick layer of ceramic whose thermal conductivity is keeramic = 1.2 W/m-°C.If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C,determine the temperatures at the center of the resistance wire and the interface ofthe wire and the ceramic layer under steady conditions.InterfaceWire-T,= 45°CCeramic layer

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Answered: Example 10: Consider a long resistance…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Example 10: Consider a long resistance wire of radius r1 = 0.2 cm and thermal conductivity kwire = 15 W/m·°C in which heat is generated uniformly as a result of resistance heating at a constant rate of g = 50 W/cm3. The wire is embedded in a 0.5-cm-thick layer of ceramic whose thermal conductivity is kceramic = 1.2 W/m·°C. If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C, determine the temperatures at the center of the resistance wire and the interface of the wire and the ceramic layer under steady conditions.

Example 10: Consider a long resistance wire of radius rl
cm and thermal
conductivity kwire
= 15 W/m-°C in which heat is generated uniformly as a result of
resistance heating at a constant rate of
g
50 W/cm3. The wire is embedded in a
0.5-cm-thick layer of ceramic whose thermal conductivity is keeramic = 1.2 W/m-°C.
If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C,
determine the temperatures at the center of the resistance wire and the interface of
the wire and the ceramic layer under steady conditions.
Interface
Wire
-T,= 45°C
Ceramic layer

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