Consider the base plate of an 1200 W household iron with a thickness of L= 0.5 cm, base area of A=300 cm2, and thermal conductivity of k = 15 W/m °C. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface losses heat to the 1 surrounding at T = 20 °C by convection Taking h= 80 W/m² °C and disregarding the heat loss by radiation (a) obtain a relation for the variation of temperature in the base plate by solving the differential equation, and (b) evaluate the inner and the outer surface temperature. .

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the base plate of an 1200 W household iron with
thickness of L= 0.5 cm, base area of A=300 cm2, and thermal conductivity
of k = 15 W/m °C. The inner surface of the base plate is subjected to
uniform heat flux generated by the resistance heaters inside. When steady
operating conditions are reached, the outer surface losses heat to the
1
surrounding at T = 20 °C by convection. Taking h= 80 W/m² °C and
disregarding the heat loss by radiation (a) obtain a relation for the variation
of temperature in the base plate by solving the differential equation, and (b)
evaluate the inner and the outer surface temperature.
Transcribed Image Text:Consider the base plate of an 1200 W household iron with thickness of L= 0.5 cm, base area of A=300 cm2, and thermal conductivity of k = 15 W/m °C. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface losses heat to the 1 surrounding at T = 20 °C by convection. Taking h= 80 W/m² °C and disregarding the heat loss by radiation (a) obtain a relation for the variation of temperature in the base plate by solving the differential equation, and (b) evaluate the inner and the outer surface temperature.
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