A long wire of diameter D = 1mm is submerged in an oil bath of temperature T∞ = 25°C. The wire has an electrical resistance per unit length of R'e = 0.01 ?/m. If a current of I =100 A flows through the wire and the convection coefficient is h=500 W/m^2.K, what is the steady-state temperature of the wire? From the time the current is applied, how long does it take for the wire to reach a temperature that is with 1°C of the steady-state value? The properties of the wire are ρ=8000 kg/m^3, c= 500 J/kg.K, and k = 20 W/m.K.