Q1: Consider a long resistance wire of radius r1 = 0.3 cm and thermal conductivity kwire = 17 W/m.°C in which heat is generated uniformly as a result of resistance heating at a constant rate of q = 100 %3D W/cm3 (see Figure below). The wire is embedded in a 1-cm- thick layer of ceramic whose thermal conductivity is kceramic =1 W/m.°C. If the center temperature of the resistance wire is measured to be Tc= 705°C, determine the temperatures at the surface of ceramic and the interface of the wire and the ceramic layer under steady conditions.
Q1: Consider a long resistance wire of radius r1 = 0.3 cm and thermal conductivity kwire = 17 W/m.°C in which heat is generated uniformly as a result of resistance heating at a constant rate of q = 100 %3D W/cm3 (see Figure below). The wire is embedded in a 1-cm- thick layer of ceramic whose thermal conductivity is kceramic =1 W/m.°C. If the center temperature of the resistance wire is measured to be Tc= 705°C, determine the temperatures at the surface of ceramic and the interface of the wire and the ceramic layer under steady conditions.
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:ähäi 100 Q1: Consider a long resistance
wire of radius r1 = 0.3 cm and
thermal conductivity kwire =
%3D
17 W/m•°C in which heat is
generated uniformly as a
result of resistance heating at
a constant rate of q = 100
W/cm3 (see Figure below). The
wire is embedded in a 1-cm-
thick layer of ceramic whose
thermal conductivity is
kceramic =1 W/m.°C. If the
center temperature of the
resistance wire is measured to
be Tc= 705°C, determine the
temperatures at the surface
of ceramic and the interface
of the wire and the ceramic
layer under steady conditions.
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