Aluminum wire, having a diameter of 0.794 mm, is immersed in an oil bath that is at 25°C. Aluminum wire of this size has an electrical resistance of 0.0572 Ω/m. For conditions where an electric current of 100 A is flowing through the wire and the surface coefficient between the wire and oil bath is 550 W/m² · K, determine the steady-state temperature of the wire.
How long, after the current is supplied, will it take for the wire to reach a temperature within 5°C of its steady-state value?