A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 2 mm and thermal conductivity 0.04 W/m • K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath for which To = 100°C and h = 3000 W/m • K. Estimate the time required for the coated sphere temperature to reach 150°C. Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pcV) is small compared to that of the steel sphere

Elements Of Electromagnetics
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A steel sphere (AISI 1010), 100 mm in diameter, is coated with a dielectric material layer of thickness 2 mm and thermal conductivity 0.04 W/m • K. The coated sphere is initially at a uniform temperature of 500°C and is suddenly quenched in a large oil bath for which To = 100°C and h = 3000 W/m • K. Estimate the time required for the coated sphere temperature to reach 150°C. Hint: Neglect the effect of energy storage in the dielectric material, since its thermal capacitance (pcV) is small compared to that of the steel sphere.

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