Along wire of diameter d= 1 mm is submerged in an oil bath of temperature [infinity] t[infinity]= 15°c. the wire has an electrical resistance per unit length of re′= 0.01 ω/m. if a current of i= 96 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 rho= 8000 kg/m3, c= 500 j/kg·k, and k= 20 w/m·k.