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3 An electrical current of 700 A flows through a stainless steel cable having a diameter of 5 mm and an electrical resistance of 6 x 10-2/m (i.e., per meter of cable length). The cable is in an environment having a tem- perature of 30°C, and the total coefficient associated with convection and radiation between the cable and the environment is approximately 25 W/m².K. (a) If the cable is bare, what is its surface temperature? (b) If a very thin coating of electrical insulation is applied to the cable, with a contact resistance of 0.02 m² K/W, what are the insulation and cable surface temperatures? (c) There is some concern about the ability of the insula- tion to withstand elevated temperatures. What thick- ness of this insulation (k = 0.5 W/m .K) will yield the lowest value of the maximum insulation temper- ature? What is the value of the maximum tempera- ture when this thickness is used? Note: The 25 W/m²K includes not only convection but also radiation.

3 An electrical current of 700 A flows through a stainless steel cable having a diameter of 5 mm and an electrical resistance of 6 x 10-2/m (i.e., per meter of cable length). The cable is in an environment having a tem- perature of 30°C, and the total coefficient associated with convection and radiation between the cable and the environment is approximately 25 W/m².K. (a) If the cable is bare, what is its surface temperature? (b) If a very thin coating of electrical insulation is applied to the cable, with a contact resistance of 0.02 m² K/W, what are the insulation and cable surface temperatures? (c) There is some concern about the ability of the insula- tion to withstand elevated temperatures. What thick- ness of this insulation (k = 0.5 W/m .K) will yield the lowest value of the maximum insulation temper- ature? What is the value of the maximum tempera- ture when this thickness is used? Note: The 25 W/m²K includes not only convection but also radiation.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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3 An electrical current of 700 A flows through a stainless steel cable having a diameter of 5 mm and an electrical resistance of 6 x 104 /m (i.e., per meter of cable length). The cable is in an environment having a tem- perature of 30°C, and the total coefficient associated with convection and radiation between the cable and the environment is approximately 25 W/m².K. (a) If the cable is bare, what is its surface temperature? (b) If a very thin coating of electrical insulation is applied to the cable, with a contact resistance of 0.02 m² K/W, what are the insulation and cable surface temperatures? (c) There is some concern about the ability of the insula- tion to withstand elevated temperatures. What thick- ness of this insulation (k = 0.5 W/m .K) will yield the lowest value of the maximum insulation temper- ature? What is the value of the maximum tempera- ture when this thickness is used? Note: The 25 W/m²K includes not only convection but also radiation.
Transcribed Image Text:3 An electrical current of 700 A flows through a stainless steel cable having a diameter of 5 mm and an electrical resistance of 6 x 104 /m (i.e., per meter of cable length). The cable is in an environment having a tem- perature of 30°C, and the total coefficient associated with convection and radiation between the cable and the environment is approximately 25 W/m².K. (a) If the cable is bare, what is its surface temperature? (b) If a very thin coating of electrical insulation is applied to the cable, with a contact resistance of 0.02 m² K/W, what are the insulation and cable surface temperatures? (c) There is some concern about the ability of the insula- tion to withstand elevated temperatures. What thick- ness of this insulation (k = 0.5 W/m .K) will yield the lowest value of the maximum insulation temper- ature? What is the value of the maximum tempera- ture when this thickness is used? Note: The 25 W/m²K includes not only convection but also radiation.
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