A 1.0 mm diameter wire is maintained at a temperature of 360◦C and exposed to a convection environment at 40◦C with h=120 W/m2·◦C. Calculate the thermal conductivity that will just cause an insulation thickness of 0.25 mm to produce a “critical radius.” How much of this insulation must be added to reduce the heat transfer by 26.8 percent from that which would be experienced by the bare wire?