Consider a long electrical resistance wire of radius r1=0.30cm has a thermal conductivity kwire=18W/mK. Heat is generated uniformly in the wire as a result of resistance heating at a constant rate of 0.55W/cm3. The wire is covered with plastic insulation with a thickness of 0.30cm and thermal conductivity of kins=0.25W/mK. The outer surface of the insulation is subjected to free convection in air at 21C and a convection heat transfer coefficient of 5 W/m2K. Find the followings: a) the temperature profile for the wire b) the temperature profile for the plastic insulation c) temperature at the center of the wire