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Q: A long wire of diameter D = 1 mm is submerged in an oil bath of temperature T8 = 25°C. The wire has an electrical resistance per unit length of R; = 0.01?/m. If a current of I = 100 A flows through the wire and the convection coefficient is h = 500 W/m2 · 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 within 1°C of the steady-state value? The properties of the wire are p = 8000 kg/m3, c = 500 J/kg · K, and k = 20 W/m · K.