A 2.2-mm-diameter and 10-m-long electric wire istightly wrapped with a 1-mm-thick plastic cover whose thermalconductivity is K = 0.15 W/m·K. Electrical measurementsindicate that a current of 13 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulatedwire is exposed to a medium at T` = 30°C with a heat transfercoefficient of h = 24 W/m2·K, determine the temperature at theinterface of the wire and the plastic cover in steady operation.Also determine if doubling the thickness of the plastic coverwill increase or decrease this interface temperature.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 2.2-mm-diameter and 10-m-long electric wire is
tightly wrapped with a 1-mm-thick plastic cover whose thermal
conductivity is K = 0.15 W/m·K. Electrical measurements
indicate that a current of 13 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated
wire is exposed to a medium at T` = 30°C with a heat transfer
coefficient of h = 24 W/m2·K, determine the temperature at the
interface of the wire and the plastic cover in steady operation.
Also determine if doubling the thickness of the plastic cover
will increase or decrease this interface temperature.

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