A long wire of diameter d=1 mm is submerged in an oil bath of temperature t=25c. The wire has an electrical resistance per unit length of re = 0.01 /m. If a current of i=100a 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 1c of the steady-state value? The properties of the wire are = 8000 kg/m3 , c =500 j/kg.K, and k =20 w/m.K
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