An insulation (kins = 0.14 W/(m K) ) layer that is 0.002m thick surrounds a wire (diameter=0.0025m) in a room at 25°C. Current is passed through the wire, resulting in the generation of heat. The boundary between the wire and insulation has a thermal contact resistance of R’ = 5.5 x 10-3 (m K)/W. The convective heat transfer coefficient at the outer surface of the insulation is h=21 W/(m2 K). The insulation will emit a concerning odor once it has reached 40ºC. (a) What is the maximum power that can be released at steady state by the conductor to avoid production of the odor? (b) What is the temperature at the outer surface of the wire at the power you found in (a)?

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.