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

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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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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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