A 2-mm-diameter and 10-m-long electric wire is tightly warpped with a 1-mm-thick plastic cover whose thermal conductivity

Question:

A 2-mm-diameter and 10-m-long electric wire is tightly warpped with a 1-mm-thick plastic cover whose thermal conductivity is k = 0.15 W/m . oC. Electridcl measurements indicate that a current of 10 A pases 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∞ = 30oC with a heat transfer coefficient of h = 24 W/m2. oC, 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.