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4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface

4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface

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
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4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface between the plastic cover and the wires, and at the outside of the insulation layer. c) What happens to the values found in parts (a) and (b) if the thickness of the insulation doubles to 2mm? Explain your results.
Transcribed Image Text:4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface between the plastic cover and the wires, and at the outside of the insulation layer. c) What happens to the values found in parts (a) and (b) if the thickness of the insulation doubles to 2mm? Explain your results.
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