4. A 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 °C. Electrical measurements indicate that a current of 10 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.°C, 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. Tair = 30°C Electrical wire Insulation 10 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4. A 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 °C. Electrical measurements indicate that a
current of 10 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.°C, 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.
Tair = 30°C
Electrical
wire
Insulation
10 m
Transcribed Image Text:4. A 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 °C. Electrical measurements indicate that a current of 10 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.°C, 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. Tair = 30°C Electrical wire Insulation 10 m
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