A 3-mm-diameter and 12-m-long electric wire is tightly wrapped with a 1.5-mm-thick plastic cover whose thermal conductivity and emissivity are k = 0.20 W/m · °C and ε = 0.9. Electrical measurements indicate that a current of 10 A passes through the wire and there is a voltage drop of 7 V along the wire. If the insulated wire is exposed to calm atmospheric air at T∞ = 30°C, determine the temperature a! the interface of the wire and the plastic cover in steady operation. Take the surrounding surfaces to be at about the same temperature as the air.
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